A New Neutrosophic Algebraic Structures | Journal of Computational and Cognitive Engineering

<!DOCTYPE html> <html lang="en" xml:lang="en"> <head> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title> A New Neutrosophic Algebraic Structures | Journal of Computational and Cognitive Engineering </title> <link rel="icon" href="https://ojs.bonviewpress.com/public/journals/4/favicon_en_US.png"> <meta name="generator" content="Open Journal Systems 3.4.0.7"> <meta name="gs_meta_revision" content="1.1"/> <meta name="citation_journal_title" content="Journal of Computational and Cognitive Engineering"/> <meta name="citation_journal_abbrev" content="JCCE"/> <meta name="citation_issn" content="2810-9503"/> <meta name="citation_author" content="Riad K. 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Finally, we introduced a new NeutroGroupoid and new NeutroSemiGroup. 聽 Received: 14 April 2022 | Revised: 29 April 2021 | Accepted: 20 June 2022 聽 Conflicts of Interest The author declares that he has no conflicts of interest to this work."/> <meta name="citation_keywords" xml:lang="en" content="neutrosophic algebraic structure"/> <meta name="citation_keywords" xml:lang="en" content="new neutrosophic groupoid"/> <meta name="citation_keywords" xml:lang="en" content="new neutrosophic semigroup"/> <meta name="citation_keywords" xml:lang="en" content="new neutrosophic monoid"/> <meta name="citation_keywords" xml:lang="en" content="new NeutroGroupoid"/> <meta name="citation_keywords" xml:lang="en" content=" new NeutroSemiGroup"/> <meta name="citation_pdf_url" content="https://ojs.bonviewpress.com/index.php/JCCE/article/download/213/142"/> <link rel="schema.DC" href="http://purl.org/dc/elements/1.1/" /> <meta name="DC.Creator.PersonalName" content="Riad K. Al-Hamido"/> <meta name="DC.Date.created" scheme="ISO8601" content="2022-06-23"/> <meta name="DC.Date.dateSubmitted" scheme="ISO8601" content="2022-04-14"/> <meta name="DC.Date.issued" scheme="ISO8601" content="2023-05-18"/> <meta name="DC.Date.modified" scheme="ISO8601" content="2024-01-10"/> <meta name="DC.Description" xml:lang="en" content="A new approach of neutrosophic algebraic structure is discussed in the work, which will open the door in front of researchers to new research about neutrosophic algebraic structure. In this work, we define new neutrosophic groupoid (semigroup, monoid) and new neutrosophic subgroupoid (subsemigroup, submonoid) in a new way which is more natural than the previous versions and we discuss some properties of these new neutrosophic concepts. Also, we discuss the relationship of new neutrosophic algebraic structures with other classical neutrosophic algebraic structure and prove some results. 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class="page_title"> A New Neutrosophic Algebraic Structures </h1> <div class="row"> <div class="main_entry"> <section class="item authors"> <h2 class="pkp_screen_reader">Authors</h2> <ul class="authors"> <li> <span class="name"> Riad K. Al-Hamido </span> <span class="affiliation"> Department of Mathematics, Al-Furat University, Syria </span> <span class="orcid"> <svg class="orcid_icon" viewBox="0 0 256 256" aria-hidden="true"> <style type="text/css"> .st0{fill:#A6CE39;} .st1{fill:#FFFFFF;} </style> <path class="st0" d="M256,128c0,70.7-57.3,128-128,128C57.3,256,0,198.7,0,128C0,57.3,57.3,0,128,0C198.7,0,256,57.3,256,128z"/> <g> <path class="st1" d="M86.3,186.2H70.9V79.1h15.4v48.4V186.2z"/> <path class="st1" d="M108.9,79.1h41.6c39.6,0,57,28.3,57,53.6c0,27.5-21.5,53.6-56.8,53.6h-41.8V79.1z M124.3,172.4h24.5 c34.9,0,42.9-26.5,42.9-39.7c0-21.5-13.7-39.7-43.7-39.7h-23.7V172.4z"/> <path class="st1" d="M88.7,56.8c0,5.5-4.5,10.1-10.1,10.1c-5.6,0-10.1-4.6-10.1-10.1c0-5.6,4.5-10.1,10.1-10.1 C84.2,46.7,88.7,51.3,88.7,56.8z"/> </g> </svg> <a href="https://orcid.org/0000-0001-9620-4304" target="_blank"> https://orcid.org/0000-0001-9620-4304 </a> </span> </li> </ul> </section> <section class="item doi"> <h2 class="label"> DOI: </h2> <span class="value"> <a href="https://doi.org/10.47852/bonviewJCCE2202213"> https://doi.org/10.47852/bonviewJCCE2202213 </a> </span> </section> <section class="item keywords"> <h2 class="label"> Keywords: </h2> <span class="value"> neutrosophic algebraic structure, new neutrosophic groupoid, new neutrosophic semigroup, new neutrosophic monoid, new NeutroGroupoid, new NeutroSemiGroup </span> </section> <section class="item abstract"> <h2 class="label">Abstract</h2> <p>A new approach of neutrosophic algebraic structure is discussed in the work, which will open the door in front of researchers to new research about neutrosophic algebraic structure. In this work, we define new neutrosophic groupoid (semigroup, monoid) and new neutrosophic subgroupoid (subsemigroup, submonoid) in a new way which is more natural than the previous versions and we discuss some properties of these new neutrosophic concepts. Also, we discuss the relationship of new neutrosophic algebraic structures with other classical neutrosophic algebraic structure and prove some results. Finally, we introduced a new NeutroGroupoid and new NeutroSemiGroup.</p> <p>聽</p> <p><strong>Received</strong>: 14 April 2022 | <strong>Revised</strong>: 29 April 2021 | <strong>Accepted</strong>: 20 June 2022</p> <p>聽</p> <p><strong>Conflicts of Interest</strong></p> <p>The author declares that he has no conflicts of interest to this work.</p> </section> <br /><div class="separator"></div><div class="item abstract" id="trendmd-suggestions"></div><script defer src='//js.trendmd.com/trendmd.min.js' data-trendmdconfig='{"website_id":"89267", "element":"#trendmd-suggestions"}'></script><div class="item downloads_chart"> <h3 class="label"> Metrics </h3> <div id="paperbuzz"><div id="loading">Metrics Loading ...</div></div> <script type="text/javascript"> window.onload = function () { var options = { paperbuzzStatsJson: JSON.parse('{\"altmetrics_sources\":[{\"events\":null,\"events_count\":372,\"events_count_by_day\":[{\"count\":\"4\",\"date\":\"2022-06-23\"},{\"count\":\"1\",\"date\":\"2022-06-24\"},{\"count\":\"1\",\"date\":\"2022-06-28\"},{\"count\":\"1\",\"date\":\"2022-06-29\"},{\"count\":\"2\",\"date\":\"2022-06-30\"},{\"count\":\"3\",\"date\":\"2022-07-01\"},{\"count\":\"5\",\"date\":\"2022-07-02\"},{\"count\":\"16\",\"date\":\"2022-07-03\"},{\"count\":\"6\",\"date\":\"2022-07-04\"},{\"count\":\"1\",\"date\":\"2022-07-05\"},{\"count\":\"1\",\"date\":\"2022-07-10\"},{\"count\":\"2\",\"date\":\"2022-07-11\"},{\"count\":\"1\",\"date\":\"2022-07-17\"},{\"count\":\"1\",\"date\":\"2022-07-20\"},{\"count\":\"2\",\"date\":\"2022-07-23\"}],\"events_count_by_month\":[{\"count\":\"9\",\"date\":\"2022-06\"},{\"count\":\"39\",\"date\":\"2022-07\"},{\"count\":\"12\",\"date\":\"2022-08\"},{\"count\":\"19\",\"date\":\"2022-09\"},{\"count\":\"7\",\"date\":\"2022-10\"},{\"count\":\"9\",\"date\":\"2022-11\"},{\"count\":\"10\",\"date\":\"2022-12\"},{\"count\":\"7\",\"date\":\"2023-01\"},{\"count\":\"4\",\"date\":\"2023-02\"},{\"count\":\"5\",\"date\":\"2023-03\"},{\"count\":\"10\",\"date\":\"2023-04\"},{\"count\":\"20\",\"date\":\"2023-05\"},{\"count\":\"5\",\"date\":\"2023-06\"},{\"count\":\"31\",\"date\":\"2023-07\"},{\"count\":\"15\",\"date\":\"2023-08\"},{\"count\":\"15\",\"date\":\"2023-09\"},{\"count\":\"22\",\"date\":\"2023-10\"},{\"count\":\"5\",\"date\":\"2023-11\"},{\"count\":\"15\",\"date\":\"2023-12\"},{\"count\":\"16\",\"date\":\"2024-01\"},{\"count\":\"3\",\"date\":\"2024-02\"},{\"count\":\"7\",\"date\":\"2024-03\"},{\"count\":\"4\",\"date\":\"2024-04\"},{\"count\":\"12\",\"date\":\"2024-05\"},{\"count\":\"13\",\"date\":\"2024-06\"},{\"count\":\"10\",\"date\":\"2024-07\"},{\"count\":\"22\",\"date\":\"2024-08\"},{\"count\":\"10\",\"date\":\"2024-09\"},{\"count\":\"9\",\"date\":\"2024-10\"},{\"count\":\"7\",\"date\":\"2024-11\"}],\"events_count_by_year\":[{\"count\":\"105\",\"date\":\"2022\"},{\"count\":\"154\",\"date\":\"2023\"},{\"count\":\"113\",\"date\":\"2024\"}],\"source\":{\"display_name\":\"File downloads\"},\"source_id\":\"fileDownloads\"}],\"crossref_event_data_url\":\"https:\\/\\/api.eventdata.crossref.org\\/v1\\/events?rows=1000&filter=from-collected-date:1990-01-01,until-collected-date:2099-01-01,obj-id:10.47852\\/bonviewjcce2202213\",\"doi\":\"10.47852\\/bonviewjcce2202213\",\"metadata\":{\"DOI\":\"10.47852\\/bonviewjcce2202213\",\"ISSN\":[\"2810-9503\"],\"URL\":\"http:\\/\\/dx.doi.org\\/10.47852\\/bonviewjcce2202213\",\"abstract\":\"<jats:p>A new approach of neutrosophic algebraic structure is discussed in the work, which will open the door in front of researchers to new research about neutrosophic algebraic structure. 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