FUZZY SUB-EQUALITY ALGEBRAS BASED ON FUZZY POINTS

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dc.authorscopusidRajab Ali Borzooei / 55910145800
dc.authorwosidRajab Ali Borzooei /AAE-8211-2021
dc.contributor.authorAaly Kologani, Mona
dc.contributor.authorMohseni Takallo, Mohammad
dc.contributor.authorBae Jun, Young
dc.contributor.authorBorzooei, Rajab Ali
dc.date.accessioned2025-04-17T14:05:00Z
dc.date.available2025-04-17T14:05:00Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü
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 (∈, ∈) and (∈, ∈ ∨ 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 (α, β)-fuzzy subalgebras and (α, β)-fuzzy ideals on equality algebras. Also, by using the notion of (∈, ∈)-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. © Copyright by Author(s), Lódź 2023 © Copyright for this edition by the University of Lodz, Lódź 2023.
dc.identifier.citationKologani, M. A., Takallo, M. M., Jun, Y. B., & Borzooei, R. A. (2023). Fuzzy Sub-Equality Algebras Based on Fuzzy Points. Bulletin of the Section of Logic, 53(2), 195-222.
dc.identifier.doi10.18778/0138-0680.2023.31
dc.identifier.endpage222
dc.identifier.issn01380680
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85196862422
dc.identifier.scopusqualityQ2
dc.identifier.startpage195
dc.identifier.urihttp://dx.doi.org/10.18778/0138-0680.2023.31
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6284
dc.identifier.volume53
dc.indekslendigikaynakScopus
dc.institutionauthorBorzooei, Rajab Ali
dc.institutionauthoridRajab Ali Borzooei / 0000-0001-7538-7885
dc.language.isoen
dc.publisherLodz University
dc.relation.ispartofBulletin of the Section of Logic
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEquality Algebra
dc.subjectFuzzy İdeal
dc.subjectFuzzy Point
dc.subjectFuzzy Set
dc.subjectSub-equality Algebras
dc.titleFUZZY SUB-EQUALITY ALGEBRAS BASED ON FUZZY POINTS
dc.typeArticle

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