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algebra</title> <meta name="description" content="Search results for: inference algebra"> <meta name="keywords" content="inference algebra"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="inference algebra"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 416</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: inference algebra</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">416</span> On the Framework of Contemporary Intelligent Mathematics Underpinning Intelligent Science, Autonomous AI, and Cognitive Computers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yingxu%20Wang">Yingxu Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jianhua%20Lu"> Jianhua Lu</a>, <a href="https://publications.waset.org/abstracts/search?q=Jun%20Peng"> Jun Peng</a>, <a href="https://publications.waset.org/abstracts/search?q=Jiawei%20Zhang"> Jiawei Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The fundamental demand in contemporary intelligent science towards Autonomous AI (AI*) is the creation of unprecedented formal means of Intelligent Mathematics (IM). It is discovered that natural intelligence is inductively created rather than exhaustively trained. Therefore, IM is a family of algebraic and denotational mathematics encompassing Inference Algebra, Real-Time Process Algebra, Concept Algebra, Semantic Algebra, Visual Frame Algebra, etc., developed in our labs. IM plays indispensable roles in training-free AI* theories and systems beyond traditional empirical data-driven technologies. A set of applications of IM-driven AI* systems will be demonstrated in contemporary intelligence science, AI*, and cognitive computers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=intelligence%20mathematics" title="intelligence mathematics">intelligence mathematics</a>, <a href="https://publications.waset.org/abstracts/search?q=foundations%20of%20intelligent%20science" title=" foundations of intelligent science"> foundations of intelligent science</a>, <a href="https://publications.waset.org/abstracts/search?q=autonomous%20AI" title=" autonomous AI"> autonomous AI</a>, <a href="https://publications.waset.org/abstracts/search?q=cognitive%20computers" title=" cognitive computers"> cognitive computers</a>, <a href="https://publications.waset.org/abstracts/search?q=inference%20algebra" title=" inference algebra"> inference algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=real-time%20process%20algebra" title=" real-time process algebra"> real-time process algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=concept%20algebra" title=" concept algebra"> concept algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=semantic%20algebra" title=" semantic algebra"> semantic algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=applications" title=" applications"> applications</a> </p> <a href="https://publications.waset.org/abstracts/182399/on-the-framework-of-contemporary-intelligent-mathematics-underpinning-intelligent-science-autonomous-ai-and-cognitive-computers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/182399.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">61</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">415</span> Quantum Algebra from Generalized Q-Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Tabuni">Muna Tabuni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper contains an investigation of the notion of Q algebras. A brief introduction to quantum mechanics is given, in that systems the state defined by a vector in a complex vector space H which have Hermitian inner product property. H may be finite or infinite-dimensional. In quantum mechanics, operators must be hermitian. These facts are saved by Lie algebra operators but not by those of quantum algebras. A Hilbert space H consists of a set of vectors and a set of scalars. Lie group is a differentiable topological space with group laws given by differentiable maps. A Lie algebra has been introduced. Q-algebra has been defined. A brief introduction to BCI-algebra is given. A BCI sub algebra is introduced. A brief introduction to BCK=BCH-algebra is given. Every BCI-algebra is a BCH-algebra. Homomorphism maps meanings are introduced. Homomorphism maps between two BCK algebras are defined. The mathematical formulations of quantum mechanics can be expressed using the theory of unitary group representations. A generalization of Q algebras has been introduced, and their properties have been considered. The Q- quantum algebra has been studied, and various examples have been given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Q-algebras" title="Q-algebras">Q-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=BCI" title=" BCI"> BCI</a>, <a href="https://publications.waset.org/abstracts/search?q=BCK" title=" BCK"> BCK</a>, <a href="https://publications.waset.org/abstracts/search?q=BCH-algebra" title=" BCH-algebra"> BCH-algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a> </p> <a href="https://publications.waset.org/abstracts/138379/quantum-algebra-from-generalized-q-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138379.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">199</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">414</span> Introducing Quantum-Weijsberg Algebras by Redefining Quantum-MV Algebras: Characterization, Properties, and Other Important Results</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lavinia%20Ciungu">Lavinia Ciungu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the last decades, developing algebras related to the logical foundations of quantum mechanics became a central topic of research. Generally known as quantum structures, these algebras serve as models for the formalism of quantum mechanics. In this work, we introduce the notion of quantum-Wajsberg algebras by redefining the quantum-MV algebras starting from involutive BE algebras. We give a characterization of quantum-Wajsberg algebras, investigate their properties, and show that, in general, quantum-Wajsberg algebras are not (commutative) quantum-B algebras. We also define the ∨-commutative quantum-Wajsberg algebras and study their properties. Furthermore, we prove that any Wajsberg algebra (bounded ∨-commutative BCK algebra) is a quantum-Wajsberg algebra, and we give a condition for a quantum-Wajsberg algebra to be a Wajsberg algebra. We prove that Wajsberg algebras are both quantum-Wajsberg algebras and commutative quantum-B algebras. We establish the connection between quantum-Wajsberg algebras and quantum-MV algebras, proving that the quantum-Wajsberg algebras are term equivalent to quantum-MV algebras. We show that, in general, the quantum-Wajsberg algebras are not commutative quantum-B algebras and if a quantum-Wajsberg algebra is self-distributive, then the corresponding quantum-MV algebra is an MV algebra. Our study could be a starting point for the development of other implicative counterparts of certain existing algebraic quantum structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum-Wajsberg%20algebra" title="quantum-Wajsberg algebra">quantum-Wajsberg algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum-MV%20algebra" title=" quantum-MV algebra"> quantum-MV algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=MV%20algebra" title=" MV algebra"> MV algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=Wajsberg%20algebra" title=" Wajsberg algebra"> Wajsberg algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=BE%20algebra" title=" BE algebra"> BE algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum-B%20algebra" title=" quantum-B algebra"> quantum-B algebra</a> </p> <a href="https://publications.waset.org/abstracts/192449/introducing-quantum-weijsberg-algebras-by-redefining-quantum-mv-algebras-characterization-properties-and-other-important-results" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192449.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">15</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">413</span> Conspicuous and Significant Learner Errors in Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Michael%20Lousis">Michael Lousis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The kind of the most important and conspicuous errors the students made during the three-years of testing of their progress in Algebra are presented in this article. The way these students’ errors changed over three-years of school Algebra learning also is shown. The sample is comprised of two hundred (200) English students and one hundred and fifty (150) Greek students, who were purposefully culled according to their participation in each occasion of testing in the development of the three-year Kassel Project in England and Greece, in both domains at once of Arithmetic and Algebra. Hence, for each of these English and Greek students, six test-scripts were available and corresponded to the three occasions of testing in both Arithmetic and Algebra respectively. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algebra" title="algebra">algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=errors" title=" errors"> errors</a>, <a href="https://publications.waset.org/abstracts/search?q=Kassel%20Project" title=" Kassel Project"> Kassel Project</a>, <a href="https://publications.waset.org/abstracts/search?q=progress%20of%20learning" title=" progress of learning"> progress of learning</a> </p> <a href="https://publications.waset.org/abstracts/60297/conspicuous-and-significant-learner-errors-in-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60297.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">301</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">412</span> Explicit Chain Homotopic Function to Compute Hochschild Homology of the Polynomial Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zuhier%20Altawallbeh">Zuhier Altawallbeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, an explicit homotopic function is constructed to compute the Hochschild homology of a finite dimensional free k-module V. Because the polynomial algebra is of course fundamental in the computation of the Hochschild homology HH and the cyclic homology CH of commutative algebras, we concentrate our work to compute HH of the polynomial algebra.by providing certain homotopic function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hochschild%20homology" title="hochschild homology">hochschild homology</a>, <a href="https://publications.waset.org/abstracts/search?q=homotopic%20function" title=" homotopic function"> homotopic function</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20and%20projective%20modules" title=" free and projective modules"> free and projective modules</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20resolution" title=" free resolution"> free resolution</a>, <a href="https://publications.waset.org/abstracts/search?q=exterior%20algebra" title=" exterior algebra"> exterior algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=symmetric%20algebra" title=" symmetric algebra"> symmetric algebra</a> </p> <a href="https://publications.waset.org/abstracts/20251/explicit-chain-homotopic-function-to-compute-hochschild-homology-of-the-polynomial-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20251.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">405</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">411</span> Fuzzy Implicative Pseudo-Ideals of Pesudo-BCK Algebras</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alireza%20Gilani">Alireza Gilani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the fuzzification of implicative pseudo-ideal in a pseudo-BCK algebra, and then we investigate some of their properties. We prove that the family of fuzzy implicative pseudo-ideal is completely distributive lattice. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=BCK-algebra" title="BCK-algebra">BCK-algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=pseudo-BCK%20algebra" title=" pseudo-BCK algebra"> pseudo-BCK algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=pseudo-ideal" title=" pseudo-ideal"> pseudo-ideal</a>, <a href="https://publications.waset.org/abstracts/search?q=implicative%20pseudo-ideal" title=" implicative pseudo-ideal"> implicative pseudo-ideal</a> </p> <a href="https://publications.waset.org/abstracts/43353/fuzzy-implicative-pseudo-ideals-of-pesudo-bck-algebras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43353.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">400</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">410</span> Non Commutative Lᵖ Spaces as Hilbert Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salvatore%20Triolo">Salvatore Triolo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We discuss the possibility of extending the well-known Gelfand-Naimark-Segal representation to modules over a C*algebra. We focus our attention on the case of Hilbert modules. We consider, in particular, the problem of the existence of a faithful representation. Non-commutative Lᵖ-spaces are shown to constitute examples of a class of CQ*-algebras. Finally, we have shown that any semisimple proper CQ*-algebra (X, A#), with A# a W*-algebra can be represented as a CQ*-algebra of measurable operators in Segal’s sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gelfand-Naimark-Segal%20representation" title="Gelfand-Naimark-Segal representation">Gelfand-Naimark-Segal representation</a>, <a href="https://publications.waset.org/abstracts/search?q=CQ%2A-algebras" title=" CQ*-algebras"> CQ*-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=faithful%20representation" title=" faithful representation"> faithful representation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-commutative%20L%E1%B5%96-spaces" title=" non-commutative Lᵖ-spaces"> non-commutative Lᵖ-spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces" title=" operator in Hilbert spaces"> operator in Hilbert spaces</a> </p> <a href="https://publications.waset.org/abstracts/142662/non-commutative-l-spaces-as-hilbert-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142662.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">248</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">409</span> The Weights of Distinguished sl2-Subalgebras in Dn</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yassir%20I.%20Dinar">Yassir I. Dinar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We computed the weights of the adjoint action of distinguished sl2-triples in Lie algebra of type Dn using mathematical induction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lie%20algebra" title="lie algebra">lie algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=root%20systems" title=" root systems"> root systems</a>, <a href="https://publications.waset.org/abstracts/search?q=representation%20theory" title=" representation theory"> representation theory</a>, <a href="https://publications.waset.org/abstracts/search?q=nilpotent%20orbits" title=" nilpotent orbits"> nilpotent orbits</a> </p> <a href="https://publications.waset.org/abstracts/41148/the-weights-of-distinguished-sl2-subalgebras-in-dn" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41148.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">294</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">408</span> From Equations to Structures: Linking Abstract Algebra and High-School Algebra for Secondary School Teachers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Shamash">J. Shamash</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The high-school curriculum in algebra deals mainly with the solution of different types of equations. However, modern algebra has a completely different viewpoint and is concerned with algebraic structures and operations. A question then arises: What might be the relevance and contribution of an abstract algebra course for developing expertise and mathematical perspective in secondary school mathematics instruction? This is the focus of this paper. The course Algebra: From Equations to Structures is a carefully designed abstract algebra course for Israeli secondary school mathematics teachers. The course provides an introduction to algebraic structures and modern abstract algebra, and links abstract algebra to the high-school curriculum in algebra. It follows the historical attempts of mathematicians to solve polynomial equations of higher degrees, attempts which resulted in the development of group theory and field theory by Galois and Abel. In other words, algebraic structures grew out of a need to solve certain problems, and proved to be a much more fruitful way of viewing them. This theorems in both group theory and field theory. Along the historical ‘journey’, many other major results in algebra in the past 150 years are introduced, and recent directions that current research in algebra is taking are highlighted. This course is part of a unique master’s program – the Rothschild-Weizmann Program – offered by the Weizmann Institute of Science, especially designed for practicing Israeli secondary school teachers. A major component of the program comprises mathematical studies tailored for the students at the program. The rationale and structure of the course Algebra: From Equations to Structures are described, and its relevance to teaching school algebra is examined by analyzing three kinds of data sources. The first are position papers written by the participating teachers regarding the relevance of advanced mathematics studies to expertise in classroom instruction. The second data source are didactic materials designed by the participating teachers in which they connected the mathematics learned in the mathematics courses to the school curriculum and teaching. The third date source are final projects carried out by the teachers based on material learned in the course. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=abstract%20algebra" title="abstract algebra ">abstract algebra </a>, <a href="https://publications.waset.org/abstracts/search?q=linking%20abstract%20algebra%20and%20school%20mathematics" title=" linking abstract algebra and school mathematics"> linking abstract algebra and school mathematics</a>, <a href="https://publications.waset.org/abstracts/search?q=school%20algebra" title=" school algebra"> school algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20school%20mathematics" title=" secondary school mathematics"> secondary school mathematics</a>, <a href="https://publications.waset.org/abstracts/search?q=teacher%20professional%20development" title=" teacher professional development"> teacher professional development</a> </p> <a href="https://publications.waset.org/abstracts/94997/from-equations-to-structures-linking-abstract-algebra-and-high-school-algebra-for-secondary-school-teachers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/94997.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">146</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">407</span> Math Rally Proposal for the Teaching-Learning of Algebra</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Liliana%20O.%20Mart%C3%ADnez">Liliana O. Martínez</a>, <a href="https://publications.waset.org/abstracts/search?q=Juan%20E.%20Gonz%C3%A1lez"> Juan E. González</a>, <a href="https://publications.waset.org/abstracts/search?q=Manuel%20Ram%C3%ADrez-Aranda"> Manuel Ramírez-Aranda</a>, <a href="https://publications.waset.org/abstracts/search?q=Ana%20Cervantes-Herrera"> Ana Cervantes-Herrera</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, the use of a collection of mathematical challenges and puzzles aimed at students who are starting in algebra is proposed. The selected challenges and puzzles are intended to arouse students' interest in this area of mathematics, in addition to facilitating the teaching-learning process through challenges such as riddles, crossword puzzles, and board games, all in everyday situations that allow them to build themselves the learning. For this, it is proposed to carry out a "Math Rally: algebra" divided into four sections: mathematical reasoning, a hierarchy of operations, fractions, and algebraic equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algebra" title="algebra">algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=algebraic%20challenge" title=" algebraic challenge"> algebraic challenge</a>, <a href="https://publications.waset.org/abstracts/search?q=algebraic%20puzzle" title=" algebraic puzzle"> algebraic puzzle</a>, <a href="https://publications.waset.org/abstracts/search?q=math%20rally" title=" math rally"> math rally</a> </p> <a href="https://publications.waset.org/abstracts/156056/math-rally-proposal-for-the-teaching-learning-of-algebra" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/156056.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">168</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">406</span> On Lie-Central Derivations and Almost Inner Lie-Derivations of Leibniz Algebras</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Natalia%20Pacheco%20Rego">Natalia Pacheco Rego</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Liezation functor is a map from the category of Leibniz algebras to the category of Lie algebras, which assigns a Leibniz algebra to the Lie algebra given by the quotient of the Leibniz algebra by the ideal spanned by the square elements of the Leibniz algebra. This functor is left adjoint to the inclusion functor that considers a Lie algebra as a Leibniz algebra. This environment fits in the framework of central extensions and commutators in semi-abelian categories with respect to a Birkhoff subcategory, where classical or absolute notions are relative to the abelianization functor. Classical properties of Leibniz algebras (properties relative to the abelianization functor) were adapted to the relative setting (with respect to the Liezation functor); in general, absolute properties have the corresponding relative ones, but not all absolute properties immediately hold in the relative case, so new requirements are needed. Following this line of research, it was conducted an analysis of central derivations of Leibniz algebras relative to the Liezation functor, called as Lie-derivations, and a characterization of Lie-stem Leibniz algebras by their Lie-central derivations was obtained. In this paper, we present an overview of these results, and we analyze some new properties concerning Lie-central derivations and almost inner Lie-derivations. Namely, a Leibniz algebra is a vector space equipped with a bilinear bracket operation satisfying the Leibniz identity. We define the Lie-bracket by [x, y]lie = [x, y] + [y, x] , for all x, y . The Lie-center of a Leibniz algebra is the two-sided ideal of elements that annihilate all the elements in the Leibniz algebra through the Lie-bracket. A Lie-derivation is a linear map which acts as a derivative with respect to the Lie-bracket. Obviously, usual derivations are Lie-derivations, but the converse is not true in general. A Lie-derivation is called a Lie-central derivation if its image is contained in the Lie-center. A Lie-derivation is called an almost inner Lie-derivation if the image of an element x is contained in the Lie-commutator of x and the Leibniz algebra. The main results we present in this talk refer to the conditions under which Lie-central derivation and almost inner Lie-derivations coincide. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=almost%20inner%20Lie-derivation" title="almost inner Lie-derivation">almost inner Lie-derivation</a>, <a href="https://publications.waset.org/abstracts/search?q=Lie-center" title=" Lie-center"> Lie-center</a>, <a href="https://publications.waset.org/abstracts/search?q=Lie-central%20derivation" title=" Lie-central derivation"> Lie-central derivation</a>, <a href="https://publications.waset.org/abstracts/search?q=Lie-derivation" title=" Lie-derivation"> Lie-derivation</a> </p> <a href="https://publications.waset.org/abstracts/127473/on-lie-central-derivations-and-almost-inner-lie-derivations-of-leibniz-algebras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/127473.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">135</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">405</span> Classification of Tropical Semi-Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wagneur%20Edouard">Wagneur Edouard</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Tropical algebra is the algebra constructed over an idempotent semifield S. We show here that every m-dimensional tropical module M over S with strongly independent basis can be embedded into Sm, and provide an algebraic invariant -the Γ-matrix of M- which characterises the isomorphy class of M. The strong independence condition also yields a significant improvement to the Whitney embedding for tropical torsion modules published earlier We also show that the strong independence of the basis of M is equivalent to the unique representation of elements of M. Numerous examples illustrate our results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=classification" title="classification">classification</a>, <a href="https://publications.waset.org/abstracts/search?q=idempotent%20semi-modules" title=" idempotent semi-modules"> idempotent semi-modules</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20independence" title=" strong independence"> strong independence</a>, <a href="https://publications.waset.org/abstracts/search?q=tropical%20algebra" title=" tropical algebra"> tropical algebra</a> </p> <a href="https://publications.waset.org/abstracts/32556/classification-of-tropical-semi-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32556.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">370</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">404</span> The Effects of the Inference Process in Reading Texts in Arabic</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=May%20George">May George</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Inference plays an important role in the learning process and it can lead to a rapid acquisition of a second language. When learning a non-native language, i.e., a critical language like Arabic, the students depend on the teacher’s support most of the time to learn new concepts. The students focus on memorizing the new vocabulary and stress on learning all the grammatical rules. Hence, the students became mechanical and cannot produce the language easily. As a result, they are unable to predict the meaning of words in the context by relying heavily on the teacher, in that they cannot link their prior knowledge or even identify the meaning of the words without the support of the teacher. This study explores how the teacher guides students learning during the inference process and what are the processes of learning that can direct student’s inference. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=inference" title="inference">inference</a>, <a href="https://publications.waset.org/abstracts/search?q=reading" title=" reading"> reading</a>, <a href="https://publications.waset.org/abstracts/search?q=Arabic" title=" Arabic"> Arabic</a>, <a href="https://publications.waset.org/abstracts/search?q=language%20acquisition" title=" language acquisition "> language acquisition </a> </p> <a href="https://publications.waset.org/abstracts/35360/the-effects-of-the-inference-process-in-reading-texts-in-arabic" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35360.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">531</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">403</span> Incomplete Existing Algebra to Support Mathematical Computations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ranjit%20Biswas">Ranjit Biswas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The existing subject Algebra is incomplete to support mathematical computations being done by scientists of all areas: Mathematics, Physics, Statistics, Chemistry, Space Science, Cosmology etc. even starting from the era of great Einstein. A huge hidden gap in the subject ‘Algebra’ is unearthed. All the scientists today, including mathematicians, physicists, chemists, statisticians, cosmologists, space scientists, and economists, even starting from the great Einstein, are lucky that they got results without facing any contradictions or without facing computational errors. Most surprising is that the results of all scientists, including Nobel Prize winners, were proved by them by doing experiments too. But in this paper, it is rigorously justified that they all are lucky. An algebraist can define an infinite number of new algebraic structures. The objective of the work in this paper is not just for the sake of defining a distinct algebraic structure, but to recognize and identify a major gap of the subject ‘Algebra’ lying hidden so far in the existing vast literature of it. The objective of this work is to fix the unearthed gap. Consequently, a different algebraic structure called ‘Region’ has been introduced, and its properties are studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=region" title="region">region</a>, <a href="https://publications.waset.org/abstracts/search?q=ROR" title=" ROR"> ROR</a>, <a href="https://publications.waset.org/abstracts/search?q=RORR" title=" RORR"> RORR</a>, <a href="https://publications.waset.org/abstracts/search?q=region%20algebra" title=" region algebra"> region algebra</a> </p> <a href="https://publications.waset.org/abstracts/184965/incomplete-existing-algebra-to-support-mathematical-computations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/184965.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">52</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">402</span> Mixed Number Algebra and Its Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Md.%20Shah%20Alam">Md. Shah Alam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mushfiq Ahmad has defined a Mixed Number, which is the sum of a scalar and a Cartesian vector. He has also defined the elementary group operations of Mixed numbers i.e. the norm of Mixed numbers, the product of two Mixed numbers, the identity element and the inverse. It has been observed that Mixed Number is consistent with Pauli matrix algebra and a handy tool to work with Dirac electron theory. Its use as a mathematical method in Physics has been studied. (1) We have applied Mixed number in Quantum Mechanics: Mixed Number version of Displacement operator, Vector differential operator, and Angular momentum operator has been developed. Mixed Number method has also been applied to Klein-Gordon equation. (2) We have applied Mixed number in Electrodynamics: Mixed Number version of Maxwell’s equation, the Electric and Magnetic field quantities and Lorentz Force has been found. (3) An associative transformation of Mixed Number numbers fulfilling Lorentz invariance requirement is developed. (4) We have applied Mixed number algebra as an extension of Complex number. Mixed numbers and the Quaternions have isomorphic correspondence, but they are different in algebraic details. The multiplication of unit Mixed number and the multiplication of unit Quaternions are different. Since Mixed Number has properties similar to those of Pauli matrix algebra, Mixed Number algebra is a more convenient tool to deal with Dirac equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mixed%20number" title="mixed number">mixed number</a>, <a href="https://publications.waset.org/abstracts/search?q=special%20relativity" title=" special relativity"> special relativity</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=electrodynamics" title=" electrodynamics"> electrodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=pauli%20matrix" title=" pauli matrix"> pauli matrix</a> </p> <a href="https://publications.waset.org/abstracts/39999/mixed-number-algebra-and-its-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39999.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">363</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">401</span> Research on Knowledge Graph Inference Technology Based on Proximal Policy Optimization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yihao%20Kuang">Yihao Kuang</a>, <a href="https://publications.waset.org/abstracts/search?q=Bowen%20Ding"> Bowen Ding</a> </p> <p class="card-text"><strong>Abstract:</strong></p> With the increasing scale and complexity of knowledge graph, modern knowledge graph contains more and more types of entity, relationship, and attribute information. Therefore, in recent years, it has been a trend for knowledge graph inference to use reinforcement learning to deal with large-scale, incomplete, and noisy knowledge graphs and improve the inference effect and interpretability. The Proximal Policy Optimization (PPO) algorithm utilizes a near-end strategy optimization approach. This allows for more extensive updates of policy parameters while constraining the update extent to maintain training stability. This characteristic enables PPOs to converge to improved strategies more rapidly, often demonstrating enhanced performance early in the training process. Furthermore, PPO has the advantage of offline learning, effectively utilizing historical experience data for training and enhancing sample utilization. This means that even with limited resources, PPOs can efficiently train for reinforcement learning tasks. Based on these characteristics, this paper aims to obtain a better and more efficient inference effect by introducing PPO into knowledge inference technology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reinforcement%20learning" title="reinforcement learning">reinforcement learning</a>, <a href="https://publications.waset.org/abstracts/search?q=PPO" title=" PPO"> PPO</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge%20inference" title=" knowledge inference"> knowledge inference</a> </p> <a href="https://publications.waset.org/abstracts/168844/research-on-knowledge-graph-inference-technology-based-on-proximal-policy-optimization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/168844.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">242</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">400</span> Research on Knowledge Graph Inference Technology Based on Proximal Policy Optimization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yihao%20Kuang">Yihao Kuang</a>, <a href="https://publications.waset.org/abstracts/search?q=Bowen%20Ding"> Bowen Ding</a> </p> <p class="card-text"><strong>Abstract:</strong></p> With the increasing scale and complexity of knowledge graph, modern knowledge graph contains more and more types of entity, relationship, and attribute information. Therefore, in recent years, it has been a trend for knowledge graph inference to use reinforcement learning to deal with large-scale, incomplete, and noisy knowledge graph and improve the inference effect and interpretability. The Proximal Policy Optimization (PPO) algorithm utilizes a near-end strategy optimization approach. This allows for more extensive updates of policy parameters while constraining the update extent to maintain training stability. This characteristic enables PPOs to converge to improve strategies more rapidly, often demonstrating enhanced performance early in the training process. Furthermore, PPO has the advantage of offline learning, effectively utilizing historical experience data for training and enhancing sample utilization. This means that even with limited resources, PPOs can efficiently train for reinforcement learning tasks. Based on these characteristics, this paper aims to obtain better and more efficient inference effect by introducing PPO into knowledge inference technology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reinforcement%20learning" title="reinforcement learning">reinforcement learning</a>, <a href="https://publications.waset.org/abstracts/search?q=PPO" title=" PPO"> PPO</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge%20inference" title=" knowledge inference"> knowledge inference</a>, <a href="https://publications.waset.org/abstracts/search?q=supervised%20learning" title=" supervised learning"> supervised learning</a> </p> <a href="https://publications.waset.org/abstracts/173972/research-on-knowledge-graph-inference-technology-based-on-proximal-policy-optimization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173972.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">67</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">399</span> Formex Algebra Adaptation into Parametric Design Tools: Dome Structures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R%C3%A9ka%20S%C3%A1rk%C3%B6zi">Réka Sárközi</a>, <a href="https://publications.waset.org/abstracts/search?q=P%C3%A9ter%20Iv%C3%A1nyi"> Péter Iványi</a>, <a href="https://publications.waset.org/abstracts/search?q=Attila%20B.%20Sz%C3%A9ll"> Attila B. Széll</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this paper is to present the adaptation of the dome construction tool for formex algebra to the parametric design software Grasshopper. Formex algebra is a mathematical system, primarily used for planning structural systems such like truss-grid domes and vaults, together with the programming language Formian. The goal of the research is to allow architects to plan truss-grid structures easily with parametric design tools based on the versatile formex algebra mathematical system. To produce regular structures, coordinate system transformations are used and the dome structures are defined in spherical coordinate system. Owing to the abilities of the parametric design software, it is possible to apply further modifications on the structures and gain special forms. The paper covers the basic dome types, and also additional dome-based structures using special coordinate-system solutions based on spherical coordinate systems. It also contains additional structural possibilities like making double layer grids in all geometry forms. The adaptation of formex algebra and the parametric workflow of Grasshopper together give the possibility of quick and easy design and optimization of special truss-grid domes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parametric%20design" title="parametric design">parametric design</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20morphology" title=" structural morphology"> structural morphology</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20structures" title=" space structures"> space structures</a>, <a href="https://publications.waset.org/abstracts/search?q=spherical%20coordinate%20system" title=" spherical coordinate system"> spherical coordinate system</a> </p> <a href="https://publications.waset.org/abstracts/82738/formex-algebra-adaptation-into-parametric-design-tools-dome-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/82738.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">398</span> Fuzzy Inference System for Risk Assessment Evaluation of Wheat Flour Product Manufacturing Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yas%20Barzegaar">Yas Barzegaar</a>, <a href="https://publications.waset.org/abstracts/search?q=Atrin%20Barzegar"> Atrin Barzegar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this research is to develop an intelligent system to analyze the risk level of wheat flour product manufacturing system. The model consists of five Fuzzy Inference Systems in two different layers to analyse the risk of a wheat flour product manufacturing system. The first layer of the model consists of four Fuzzy Inference Systems with three criteria. The output of each one of the Physical, Chemical, Biological and Environmental Failures will be the input of the final manufacturing systems. The proposed model based on Mamdani Fuzzy Inference Systems gives a performance ranking of wheat flour products manufacturing systems. The first step is obtaining data to identify the failure modes from expert’s opinions. The second step is the fuzzification process to convert crisp input to a fuzzy set., then the IF-then fuzzy rule applied through inference engine, and in the final step, the defuzzification process is applied to convert the fuzzy output into real numbers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=failure%20modes" title="failure modes">failure modes</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20rules" title=" fuzzy rules"> fuzzy rules</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20inference%20system" title=" fuzzy inference system"> fuzzy inference system</a>, <a href="https://publications.waset.org/abstracts/search?q=risk%20assessment" title=" risk assessment"> risk assessment</a> </p> <a href="https://publications.waset.org/abstracts/169565/fuzzy-inference-system-for-risk-assessment-evaluation-of-wheat-flour-product-manufacturing-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/169565.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">102</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">397</span> Fuzzy Inference System for Diagnosis of Malaria</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Purnima%20Pandit">Purnima Pandit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Malaria remains one of the world’s most deadly infectious disease and arguably, the greatest menace to modern society in terms of morbidity and mortality. To choose the right treatment and to ensure a quality of life suitable for a specific patient condition, early and accurate diagnosis of malaria is essential. It reduces transmission of disease and prevents deaths. Our work focuses on designing an efficient, accurate fuzzy inference system for malaria diagnosis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20inference%20system" title="fuzzy inference system">fuzzy inference system</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20logic" title=" fuzzy logic"> fuzzy logic</a>, <a href="https://publications.waset.org/abstracts/search?q=malaria%20disease" title=" malaria disease"> malaria disease</a>, <a href="https://publications.waset.org/abstracts/search?q=triangular%20fuzzy%20number" title=" triangular fuzzy number"> triangular fuzzy number</a> </p> <a href="https://publications.waset.org/abstracts/55107/fuzzy-inference-system-for-diagnosis-of-malaria" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55107.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">297</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">396</span> Fuzzy Inference System for Risk Assessment Evaluation of Wheat Flour Product Manufacturing Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Atrin%20Barzegar">Atrin Barzegar</a>, <a href="https://publications.waset.org/abstracts/search?q=Yas%20Barzegar"> Yas Barzegar</a>, <a href="https://publications.waset.org/abstracts/search?q=Stefano%20Marrone"> Stefano Marrone</a>, <a href="https://publications.waset.org/abstracts/search?q=Francesco%20Bellini"> Francesco Bellini</a>, <a href="https://publications.waset.org/abstracts/search?q=Laura%20Verde"> Laura Verde</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this research is to develop an intelligent system to analyze the risk level of wheat flour product manufacturing system. The model consists of five Fuzzy Inference Systems in two different layers to analyse the risk of a wheat flour product manufacturing system. The first layer of the model consists of four Fuzzy Inference Systems with three criteria. The output of each one of the Physical, Chemical, Biological and Environmental Failures will be the input of the final manufacturing systems. The proposed model based on Mamdani Fuzzy Inference Systems gives a performance ranking of wheat flour products manufacturing systems. The first step is obtaining data to identify the failure modes from expert’s opinions. The second step is the fuzzification process to convert crisp input to a fuzzy set., then the IF-then fuzzy rule applied through inference engine, and in the final step, the defuzzification process is applied to convert the fuzzy output into real numbers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=failure%20modes" title="failure modes">failure modes</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20rules" title=" fuzzy rules"> fuzzy rules</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20inference%20system" title=" fuzzy inference system"> fuzzy inference system</a>, <a href="https://publications.waset.org/abstracts/search?q=risk%20assessment" title=" risk assessment"> risk assessment</a> </p> <a href="https://publications.waset.org/abstracts/170997/fuzzy-inference-system-for-risk-assessment-evaluation-of-wheat-flour-product-manufacturing-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/170997.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">75</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">395</span> Learners’ Reactions to Writing Activities in an Elementary Algebra Classroom</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Early%20Sol%20A.%20Gadong">Early Sol A. Gadong</a>, <a href="https://publications.waset.org/abstracts/search?q=Lourdes%20C.%20Zamora"> Lourdes C. Zamora</a>, <a href="https://publications.waset.org/abstracts/search?q=Jonny%20B.%20Pornel"> Jonny B. Pornel</a>, <a href="https://publications.waset.org/abstracts/search?q=Aurora%20Fe%20C.%20Bautista"> Aurora Fe C. Bautista</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Various research has shown that writing allows students to engage in metacognition and provides them with a venue to communicate their disposition towards what they are learning. However, few studies have explored students’ feelings about the incorporation of such writing activities in their mathematics classes. Through reflection sheets, group discussions, and interviews, this mixed-methods study explored students’ perceptions and insights on supplementary writing activities in their Elementary Algebra class. Findings revealed that while students generally have a positive regard for writing activities, they have conflicting views about how writing activities can help them in their learning. A big majority contend that writing activities can enhance the learning of mathematical content and attitudes towards mathematics if they allow students to explore and synthesize what they have learned and reflected on their emotional disposition towards mathematics. Also, gender does not appear to play a significant role in students’ reactions to writing activities. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=writing%20in%20math" title="writing in math">writing in math</a>, <a href="https://publications.waset.org/abstracts/search?q=metacognition" title=" metacognition"> metacognition</a>, <a href="https://publications.waset.org/abstracts/search?q=affective%20factors%20in%20learning" title=" affective factors in learning"> affective factors in learning</a>, <a href="https://publications.waset.org/abstracts/search?q=elementary%20algebra%20classroom" title=" elementary algebra classroom"> elementary algebra classroom</a> </p> <a href="https://publications.waset.org/abstracts/17578/learners-reactions-to-writing-activities-in-an-elementary-algebra-classroom" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17578.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">443</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">394</span> A Model of Empowerment Evaluation of Knowledge Management in Private Banks Using Fuzzy Inference System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nazanin%20Pilevari">Nazanin Pilevari</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamyar%20Mahmoodi"> Kamyar Mahmoodi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this research is to provide a model based on fuzzy inference system for evaluating empowerment of Knowledge management. The first prototype of the research was developed based on the study of literature. In the next step, experts were provided with these models and after implementing consensus-based reform, the views of Fuzzy Delphi experts and techniques, components and Index research model were finalized. Culture, structure, IT and leadership were considered as dimensions of empowerment. Then, In order to collect and extract data for fuzzy inference system based on knowledge and Experience, the experts were interviewed. The values obtained from designed fuzzy inference system, made review and assessment of the organization's empowerment of Knowledge management possible. After the design and validation of systems to measure indexes ,empowerment of Knowledge management and inputs into fuzzy inference) in the AYANDEH Bank, a questionnaire was used. In the case of this bank, the system output indicates that the status of empowerment of Knowledge management, culture, organizational structure and leadership are at the moderate level and information technology empowerment are relatively high. Based on these results, the status of knowledge management empowerment in AYANDE Bank, was moderate. Eventually, some suggestions for improving the current situation of banks were provided. According to studies of research history, the use of powerful tools in Fuzzy Inference System for assessment of Knowledge management and knowledge management empowerment such an assessment in the field of banking, are the innovation of this Research. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=knowledge%20management" title="knowledge management">knowledge management</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge%20management%20empowerment" title=" knowledge management empowerment"> knowledge management empowerment</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20inference%20system" title=" fuzzy inference system"> fuzzy inference system</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20Delphi" title=" fuzzy Delphi"> fuzzy Delphi</a> </p> <a href="https://publications.waset.org/abstracts/72815/a-model-of-empowerment-evaluation-of-knowledge-management-in-private-banks-using-fuzzy-inference-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72815.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">358</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">393</span> Syllogistic Reasoning with 108 Inference Rules While Case Quantities Change</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mikhail%20Zarechnev">Mikhail Zarechnev</a>, <a href="https://publications.waset.org/abstracts/search?q=Bora%20I.%20Kumova"> Bora I. Kumova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A syllogism is a deductive inference scheme used to derive a conclusion from a set of premises. In a categorical syllogisms, there are only two premises and every premise and conclusion is given in form of a quantified relationship between two objects. The different order of objects in premises give classification known as figures. We have shown that the ordered combinations of 3 generalized quantifiers with certain figure provide in total of 108 syllogistic moods which can be considered as different inference rules. The classical syllogistic system allows to model human thought and reasoning with syllogistic structures always attracted the attention of cognitive scientists. Since automated reasoning is considered as part of learning subsystem of AI agents, syllogistic system can be applied for this approach. Another application of syllogistic system is related to inference mechanisms on the Semantic Web applications. In this paper we proposed the mathematical model and algorithm for syllogistic reasoning. Also the model of iterative syllogistic reasoning in case of continuous flows of incoming data based on case–based reasoning and possible applications of proposed system were discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=categorical%20syllogism" title="categorical syllogism">categorical syllogism</a>, <a href="https://publications.waset.org/abstracts/search?q=case-based%20reasoning" title=" case-based reasoning"> case-based reasoning</a>, <a href="https://publications.waset.org/abstracts/search?q=cognitive%20architecture" title=" cognitive architecture"> cognitive architecture</a>, <a href="https://publications.waset.org/abstracts/search?q=inference%20on%20the%20semantic%20web" title=" inference on the semantic web"> inference on the semantic web</a>, <a href="https://publications.waset.org/abstracts/search?q=syllogistic%20reasoning" title=" syllogistic reasoning"> syllogistic reasoning</a> </p> <a href="https://publications.waset.org/abstracts/24127/syllogistic-reasoning-with-108-inference-rules-while-case-quantities-change" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24127.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">411</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">392</span> Mathematical Anxiety and Misconceptions in Algebra of Grade Vii Students in General Emilio Aguinaldo National High School</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nessa-Amie%20T.%20Pe%C3%B1aflor">Nessa-Amie T. Peñaflor</a>, <a href="https://publications.waset.org/abstracts/search?q=Antonio%20Cinto"> Antonio Cinto</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This is a descriptive research on the level of math anxiety and mathematics misconceptions in algebra. This research is composed of four parts: (1) analysis of the level of anxiety of the respondents; (2) analysis of the common mathematical misconceptions in algebra; (3) relationship of socio-demographic profile in math anxiety and mathematical misconceptions and (4) analysis of the relationship of math anxiety and misconceptions in algebra. Through the demographic profile questionnaire it was found out that most of the respondents were female. Majority had ages that ranged from 13-15. Most of them had parents who finished secondary education. The biggest portion of Grade Seven students where from families with annual family income ranging from PhP 100, 000 to PhP 299, 999. Most of them came from public school. Mathematics Anxiety Scale for Secondary and Senior Secondary School Students (MAS) and set of 10 open-ended algebraic expressions and polynomials were also administered to determine the anxiety level and the common misconceptions in algebra. Data analysis revealed that respondents had high anxiety in mathematics. Likewise, the common mathematical misconceptions of the Grade Seven students were: combining unlike terms; multiplying the base and exponents; regarding the variable x as 0; squaring the first and second terms only in product of two binomials; wrong meaning attached to brackets; writing the terms next to each other but not simplifying in using the FOIL Method; writing the literal coefficient even if the numerical coefficient is 0; and dividing the denominator by the numerator when the numerical coefficient in the numerator is smaller than the numerical coefficient of the denominator. Results of the study show that the socio-demographic characteristics were not related to mathematics anxiety and misconceptions. Furthermore, students from higher section had high anxiety than those students on the lower section. Thus, belonging to higher or lower section may affect the mathematical misconceptions of the respondents. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algebra" title="algebra">algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=grade%207%20math" title=" grade 7 math"> grade 7 math</a>, <a href="https://publications.waset.org/abstracts/search?q=math%20anxiety" title=" math anxiety"> math anxiety</a>, <a href="https://publications.waset.org/abstracts/search?q=math%20misconceptions" title=" math misconceptions"> math misconceptions</a> </p> <a href="https://publications.waset.org/abstracts/37566/mathematical-anxiety-and-misconceptions-in-algebra-of-grade-vii-students-in-general-emilio-aguinaldo-national-high-school" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37566.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">411</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">391</span> Home Legacy Device Output Estimation Using Temperature and Humidity Information by Adaptive Neural Fuzzy Inference System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sung%20Hyun%20Yoo">Sung Hyun Yoo</a>, <a href="https://publications.waset.org/abstracts/search?q=In%20Hwan%20Choi"> In Hwan Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Jun%20Ho%20Jung"> Jun Ho Jung</a>, <a href="https://publications.waset.org/abstracts/search?q=Choon%20Ki%20Ahn"> Choon Ki Ahn</a>, <a href="https://publications.waset.org/abstracts/search?q=Myo%20Taeg%20Lim"> Myo Taeg Lim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Home energy management system (HEMS) has been issued to reduce the power consumption. The HEMS performs electric power control for the indoor electric device. However, HEMS commonly treats the smart devices. In this paper, we suggest the output estimation of home legacy device using the artificial neural fuzzy inference system (ANFIS). This paper discusses the overview and the architecture of the system. In addition, accurate performance of the output estimation using the ANFIS inference system is shown via a numerical example. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=artificial%20neural%20fuzzy%20inference%20system%20%28ANFIS%29" title="artificial neural fuzzy inference system (ANFIS)">artificial neural fuzzy inference system (ANFIS)</a>, <a href="https://publications.waset.org/abstracts/search?q=home%20energy%20management%20system%20%28HEMS%29" title=" home energy management system (HEMS)"> home energy management system (HEMS)</a>, <a href="https://publications.waset.org/abstracts/search?q=smart%20device" title=" smart device"> smart device</a>, <a href="https://publications.waset.org/abstracts/search?q=legacy%20device" title=" legacy device"> legacy device</a> </p> <a href="https://publications.waset.org/abstracts/42360/home-legacy-device-output-estimation-using-temperature-and-humidity-information-by-adaptive-neural-fuzzy-inference-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42360.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">543</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">390</span> Methodological Aspect of Emergy Accounting in Co-Production Branching Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Keshab%20Shrestha">Keshab Shrestha</a>, <a href="https://publications.waset.org/abstracts/search?q=Hung-Suck%20Park"> Hung-Suck Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Emergy accounting of the systems networks is guided by a definite rule called ‘emergy algebra’. The systems networks consist of two types of branching. These are the co-product branching and split branching. The emergy accounting procedure for both the branching types is different. According to the emergy algebra, each branch in the co-product branching has different transformity values whereas the split branching has the same transformity value. After the transformity value of each branch is determined, the emergy is calculated by multiplying this with the energy. The aim of this research is to solve the problems in determining the transformity values in the co-product branching through the introduction of a new methodology, the modified physical quantity method. Initially, the existing methodologies for emergy accounting in the co-product branching is discussed and later, the modified physical quantity method is introduced with a case study of the Eucalyptus pulp production. The existing emergy accounting methodologies in the co-product branching has wrong interpretations with incorrect emergy calculations. The modified physical quantity method solves those problems of emergy accounting in the co-product branching systems. The transformity value calculated for each branch is different and also applicable in the emergy calculations. The methodology also strictly follows the emergy algebra rules. This new modified physical quantity methodology is a valid approach in emergy accounting particularly in the multi-production systems networks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=co-product%20branching" title="co-product branching">co-product branching</a>, <a href="https://publications.waset.org/abstracts/search?q=emergy%20accounting" title=" emergy accounting"> emergy accounting</a>, <a href="https://publications.waset.org/abstracts/search?q=emergy%20algebra" title=" emergy algebra"> emergy algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20physical%20quantity%20method" title=" modified physical quantity method"> modified physical quantity method</a>, <a href="https://publications.waset.org/abstracts/search?q=transformity%20value" title=" transformity value"> transformity value</a> </p> <a href="https://publications.waset.org/abstracts/64029/methodological-aspect-of-emergy-accounting-in-co-production-branching-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64029.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">292</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">389</span> Generalized π-Armendariz Authentication Cryptosystem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Areej%20M.%20Abduldaim">Areej M. Abduldaim</a>, <a href="https://publications.waset.org/abstracts/search?q=Nadia%20M.%20G.%20Al-Saidi"> Nadia M. G. Al-Saidi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Algebra is one of the important fields of mathematics. It concerns with the study and manipulation of mathematical symbols. It also concerns with the study of abstractions such as groups, rings, and fields. Due to the development of these abstractions, it is extended to consider other structures, such as vectors, matrices, and polynomials, which are non-numerical objects. Computer algebra is the implementation of algebraic methods as algorithms and computer programs. Recently, many algebraic cryptosystem protocols are based on non-commutative algebraic structures, such as authentication, key exchange, and encryption-decryption processes are adopted. Cryptography is the science that aimed at sending the information through public channels in such a way that only an authorized recipient can read it. Ring theory is the most attractive category of algebra in the area of cryptography. In this paper, we employ the algebraic structure called skew -Armendariz rings to design a neoteric algorithm for zero knowledge proof. The proposed protocol is established and illustrated through numerical example, and its soundness and completeness are proved. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cryptosystem" title="cryptosystem">cryptosystem</a>, <a href="https://publications.waset.org/abstracts/search?q=identification" title=" identification"> identification</a>, <a href="https://publications.waset.org/abstracts/search?q=skew%20%CF%80-Armendariz%20rings" title=" skew π-Armendariz rings"> skew π-Armendariz rings</a>, <a href="https://publications.waset.org/abstracts/search?q=skew%20polynomial%20rings" title=" skew polynomial rings"> skew polynomial rings</a>, <a href="https://publications.waset.org/abstracts/search?q=zero%20knowledge%20protocol" title=" zero knowledge protocol"> zero knowledge protocol</a> </p> <a href="https://publications.waset.org/abstracts/75349/generalized-p-armendariz-authentication-cryptosystem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75349.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">217</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">388</span> Effect of Digital Technology on Students Interest, Achievement and Retention in Algebra in Abia State College of Education (Technical) Arochukwu</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Stephen%20O.%20Amaraihu">Stephen O. Amaraihu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research investigated the effect of Computer Based Instruction on Students’ interest, achievement, and retention in Algebra in Abia State College of Education (Technical), Arochukwu. Three research questions and two hypotheses guided the study. Two instruments, Maths Achievement Test (MAT) and Maths Interest Inventory were employed, to test a population of three hundred and sixteen (316) NCE 1 students in algebra. It is expected that this research will lead to the improvement of students’ performance and enhance their interest and retention of basic algebraic concept. It was found that the majority of students in the college are not proficient in the use of ICT as a result of a lack of trained personnel. It was concluded that the state government was not ready to implement the usage of mathematics in Abia State College of Education. The paper recommends, amongst others, the employment of mathematics Lectures with competent skills in ICT and the training of lecturers of mathematics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=achievement" title="achievement">achievement</a>, <a href="https://publications.waset.org/abstracts/search?q=computer%20based%20instruction" title=" computer based instruction"> computer based instruction</a>, <a href="https://publications.waset.org/abstracts/search?q=interest" title=" interest"> interest</a>, <a href="https://publications.waset.org/abstracts/search?q=retention" title=" retention"> retention</a> </p> <a href="https://publications.waset.org/abstracts/138639/effect-of-digital-technology-on-students-interest-achievement-and-retention-in-algebra-in-abia-state-college-of-education-technical-arochukwu" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138639.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">209</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">387</span> Performance-Based Quality Evaluation of Database Conceptual Schemas</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Janusz%20Getta">Janusz Getta</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhaoxi%20Pan"> Zhaoxi Pan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Performance-based quality evaluation of database conceptual schemas is an important aspect of database design process. It is evident that different conceptual schemas provide different logical schemas and performance of user applications strongly depends on logical and physical database structures. This work presents the entire process of performance-based quality evaluation of conceptual schemas. First, we show format. Then, the paper proposes a new specification of object algebra for representation of conceptual level database applications. Transformation of conceptual schemas and expression of object algebra into implementation schema and implementation in a particular database system allows for precise estimation of the processing costs of database applications and as a consequence for precise evaluation of performance-based quality of conceptual schemas. Then we describe an experiment as a proof of concept for the evaluation procedure presented in the paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=conceptual%20schema" title="conceptual schema">conceptual schema</a>, <a href="https://publications.waset.org/abstracts/search?q=implementation%20schema" title=" implementation schema"> implementation schema</a>, <a href="https://publications.waset.org/abstracts/search?q=logical%20schema" title=" logical schema"> logical schema</a>, <a href="https://publications.waset.org/abstracts/search?q=object%20algebra" title=" object algebra"> object algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=performance%20evaluation" title=" performance evaluation"> performance evaluation</a>, <a href="https://publications.waset.org/abstracts/search?q=query%20processing" title=" query processing"> query processing</a> </p> <a href="https://publications.waset.org/abstracts/71218/performance-based-quality-evaluation-of-database-conceptual-schemas" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71218.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">292</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=inference%20algebra&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=inference%20algebra&page=3">3</a></li> <li class="page-item"><a class="page-link" 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