Fuzzy F-index of fuzzy zero divisor graphs with MATLAB based algebraic applications

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dc.contributor.authorEryasar, Elif
dc.contributor.authorSozena, Esra Ozturk
dc.date.accessioned2026-04-25T14:20:24Z
dc.date.available2026-04-25T14:20:24Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractThis article aims to explore the theoretical properties of topological descriptors used in fuzzy graph theory, which combines elements of graph theory and fuzzy set theory, within algebraic structures. For this purpose, fuzzy F-index (briefly FF-index) has been formulated theoretically for the fuzzy zero divisor graphs of the commutative ring Z(n), where n = & wp;(alpha), & wp;1 & wp;2, & wp;(2)(1)& wp;2, & wp;(2)(1)& wp;(2)2, & wp;1 & wp;2 & wp;3 (& wp;1, & wp;2, & wp;3 are primes and alpha >= 3). In particular, a SageMath-based drawing algorithm that embodies the fuzzy graph structures of the rings is presented for application based convenience. Furthermore, a MATLAB based code was created that directly calculate the fuzzy F-index of the fuzzy zero divisor graphs for every non-prime value of n > 1.
dc.identifier.doi10.2298/FIL2514873E
dc.identifier.endpage4886
dc.identifier.issn0354-5180
dc.identifier.issue14
dc.identifier.orcid0000-0002-9852-6662
dc.identifier.orcid0000-0002-2632-2193
dc.identifier.scopus2-s2.0-105019535791
dc.identifier.scopusqualityQ2
dc.identifier.startpage4873
dc.identifier.urihttps://doi.org/10.2298/FIL2514873E
dc.identifier.urihttps://hdl.handle.net/11486/8544
dc.identifier.volume39
dc.identifier.wosWOS:001588981400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260420
dc.subjectAdjacency matrix
dc.subjectfuzzy F-index
dc.subjectfuzzy zero divisor graph
dc.titleFuzzy F-index of fuzzy zero divisor graphs with MATLAB based algebraic applications
dc.typeArticle

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