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Fuzzy Sub-Equality Algebras Based on Fuzzy Points

dc.contributor.authorKologani, Mona Aaly
dc.contributor.authorTakallo, Mohammad Mohseni
dc.contributor.authorJun, Young Bae
dc.contributor.authorBorzooei, Rajab Ali
dc.date.accessioned2024-06-24T08:31:40Z
dc.date.available2024-06-24T08:31:40Z
dc.date.issued2023-12-18
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/52597
dc.description.abstractIn this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts. We defined the concepts of \((\in, \in)\) and \((\in, \in\! \vee \, {q})\)-fuzzy ideals of equality algebras, discussed some properties, and found some equivalent definitions of them. In addition, we investigated the relation between different kinds of \((\alpha,\beta)\)-fuzzy subalgebras and \((\alpha,\beta)\)-fuzzy ideals on equality algebras. Also, by using the notion of \((\in, \in)\)-fuzzy ideal, we defined two equivalence relations on equality algebras and we introduced an order on classes of \(X\), and we proved that the set of all classes of \(X\) by these order is a poset.en
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesBulletin of the Section of Logic;2en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectequality algebraen
dc.subjectfuzzy seten
dc.subjectfuzzy pointen
dc.subjectfuzzy idealen
dc.subjectsub-equality algebrasen
dc.subject\((\in, \in)\)-fuzzy sub-equality algebrasen
dc.subject\((\in, \in\! \vee \, {q})\)-fuzzy sub-equality algebrasen
dc.subject\((q, \in\! \vee \, {q})\)-fuzzy sub-equality algebrasen
dc.titleFuzzy Sub-Equality Algebras Based on Fuzzy Pointsen
dc.typeArticle
dc.page.number195-222
dc.contributor.authorAffiliationKologani, Mona Aaly - Hatef Higher Education, Zahedan, Iranen
dc.contributor.authorAffiliationTakallo, Mohammad Mohseni - Shahid Beheshti University, Department of Mathematics, Faculty of Mathematical Sciences, Tehran, Iranen
dc.contributor.authorAffiliationJun, Young Bae - Gyeongsang National University, Department of Mathematics Education, Jinju, Koreaen
dc.contributor.authorAffiliationBorzooei, Rajab Ali - Istinye University, Department of Mathematics, Faculty of Engineering and Natural Sciences, Istanbul, Turkiye; Shahid Beheshti University, Department of Mathematics, Faculty of Mathematical Sciences, Tehran, Iranen
dc.identifier.eissn2449-836X
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dc.contributor.authorEmailKologani, Mona Aaly - mona4011@gmail.com
dc.contributor.authorEmailTakallo, Mohammad Mohseni - mohammad.mohseni1122@gmail.com
dc.contributor.authorEmailJun, Young Bae - skywine@gmail.com
dc.contributor.authorEmailBorzooei, Rajab Ali - borzooei@sbu.ac.ir
dc.identifier.doi10.18778/0138-0680.2023.31
dc.relation.volume53


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