Search results for: poset

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poset</title> <meta name="description" content="Search results for: poset"> <meta name="keywords" content="poset"> <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 navbar-toggler ml-auto" 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<i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="poset"> <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> 3</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: poset</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3</span> Zero Divisor Graph of a Poset with Respect to Primal Ideals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hossein%20Pourali">Hossein Pourali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we extend the concepts of primal and weakly primal ideals for posets. Further, the diameter of the zero divisor graph of a poset with respect to a non-primal ideal is determined. The relation between primary and primal ideals in posets is also studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Zero%20divisors%20graph" title="Zero divisors graph">Zero divisors graph</a>, <a href="https://publications.waset.org/search?q=ideal" title=" ideal"> ideal</a>, <a href="https://publications.waset.org/search?q=prime%20ideal" title=" prime ideal"> prime ideal</a>, <a href="https://publications.waset.org/search?q=semiprime%0D%0Aideal" title=" semiprime ideal"> semiprime ideal</a>, <a href="https://publications.waset.org/search?q=primal%20ideal" title=" primal ideal"> primal ideal</a>, <a href="https://publications.waset.org/search?q=weakly%20primal%20ideal" title=" weakly primal ideal"> weakly primal ideal</a>, <a href="https://publications.waset.org/search?q=associated%20prime%20ideal" title=" associated prime ideal"> associated prime ideal</a>, <a href="https://publications.waset.org/search?q=primary%20ideal." title=" primary ideal."> primary ideal.</a> </p> <a href="https://publications.waset.org/10007698/zero-divisor-graph-of-a-poset-with-respect-to-primal-ideals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007698/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007698/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007698/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007698/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007698/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007698/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007698/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007698/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007698/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007698/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007698.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">952</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2</span> Structure of Covering-based Rough Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shiping%20Wang">Shiping Wang</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a>, <a href="https://publications.waset.org/search?q=William%20Zhu"> William Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Covering" title="Covering">Covering</a>, <a href="https://publications.waset.org/search?q=poset" title=" poset"> poset</a>, <a href="https://publications.waset.org/search?q=down-set" title=" down-set"> down-set</a>, <a href="https://publications.waset.org/search?q=lattice" title=" lattice"> lattice</a>, <a href="https://publications.waset.org/search?q=topological%20space" title=" topological space"> topological space</a>, <a href="https://publications.waset.org/search?q=topological%20base." title=" topological base."> topological base.</a> </p> <a href="https://publications.waset.org/13163/structure-of-covering-based-rough-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13163/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13163/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13163/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13163/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13163/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13163/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13163/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13163/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13163/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13163/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13163.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">1849</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1</span> Merging and Comparing Ontologies Generically</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xiuzhan%20Guo">Xiuzhan Guo</a>, <a href="https://publications.waset.org/search?q=Arthur%20Berrill"> Arthur Berrill</a>, <a href="https://publications.waset.org/search?q=Ajinkya%20Kulkarni"> Ajinkya Kulkarni</a>, <a href="https://publications.waset.org/search?q=Kostya%20Belezko"> Kostya Belezko</a>, <a href="https://publications.waset.org/search?q=Min%20Luo"> Min Luo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Ontology operations, e.g., aligning and merging, were studied and implemented extensively in different settings, such as, categorical operations, relation algebras, typed graph grammars, with different concerns. However, aligning and merging operations in the settings share some generic properties, e.g., idempotence, commutativity, associativity, and representativity, which are defined on an ontology merging system, given by a nonempty set of the ontologies concerned, a binary relation on the set of the ontologies modeling ontology aligning, and a partial binary operation on the set of the ontologies modeling ontology merging. Given an ontology repository, a finite subset of the set of the ontologies, its merging closure is the smallest subset of the set of the ontologies, which contains the repository and is closed with respect to merging. If idempotence, commutativity, associativity, and representativity properties are satisfied, then both the set of the ontologies and the merging closure of the ontology repository are partially ordered naturally by merging, the merging closure of the ontology repository is finite and can be computed, compared, and sorted efficiently, including sorting, selecting, and querying some specific elements, e.g., maximal ontologies and minimal ontologies. An ontology Valignment pair is a pair of ontology homomorphisms with a common domain. We also show that the ontology merging system, given by ontology V-alignment pairs and pushouts, satisfies idempotence, commutativity, associativity, and representativity properties so that the merging system is partially ordered and the merging closure of a given repository with respect to pushouts can be computed efficiently.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ontology%20aligning" title="Ontology aligning">Ontology aligning</a>, <a href="https://publications.waset.org/search?q=ontology%20merging" title=" ontology merging"> ontology merging</a>, <a href="https://publications.waset.org/search?q=merging%20system" title=" merging system"> merging system</a>, <a href="https://publications.waset.org/search?q=poset" title=" poset"> poset</a>, <a href="https://publications.waset.org/search?q=merging%20closure" title=" merging closure"> merging closure</a>, <a href="https://publications.waset.org/search?q=ontology%20V-alignment%20pair" title=" ontology V-alignment pair"> ontology V-alignment pair</a>, <a href="https://publications.waset.org/search?q=ontology%0D%0Ahomomorphism" title=" ontology homomorphism"> ontology homomorphism</a>, <a href="https://publications.waset.org/search?q=ontology%20V-alignment%20pair%20homomorphism" title=" ontology V-alignment pair homomorphism"> ontology V-alignment pair homomorphism</a>, <a href="https://publications.waset.org/search?q=pushout." title=" pushout."> pushout.</a> </p> <a href="https://publications.waset.org/10013290/merging-and-comparing-ontologies-generically" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013290/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013290/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a 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Search results for: poset