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dc.contributor.authorNaz, Sumeraen_US
dc.contributor.authorRauf, Asiaen_US
dc.date.accessioned2022-04-05T16:35:56Z
dc.date.available2022-04-05T16:35:56Z
dc.date.issued2022
dc.identifier.citationNaz, S. & Rauf, A. (2022). Bipolar fuzzy graphs based on the product operatör. TWMS Journal Of Applied And Engineering Mathematics, 12(2), 724-736.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3852
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/857
dc.description.abstractFrom both theoretical and experimental perspectives, bipolar fuzzy set theory serves as a foundation for bipolar cognitive modeling and multi-agent decision analysis, where the product operator may be preferred over the min operator in some scenarios. In this paper, we discuss the basic properties of operations on product bipolar fuzzy graphs (PBFGs)(bipolar fuzzy graphs based on the product operator) such as direct product, Cartesian product, strong product, lexicographic product, union, ring sum and join. Also we define the notion of complement of PBFGs and investigate its properties. Moreover, application of PBFG theory is presented in multi-agent decision making.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectBipolar fuzzy seten_US
dc.subjectProduct operatoren_US
dc.subjectProduct bipolar fuzzy graphen_US
dc.subjectDecision makingen_US
dc.titleBipolar fuzzy graphs based on the product operatoren_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume12
dc.identifier.issue2
dc.identifier.startpage724
dc.identifier.endpage736
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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