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Measurement of planarity in product bipolar fuzzy graphs

dc.contributor.authorNaz, Sumeraen_US
dc.contributor.authorAshraf, Saminaen_US
dc.contributor.authorRashmanlou, Hosseinen_US
dc.date.accessioned2020-10-26T08:17:12Z
dc.date.available2020-10-26T08:17:12Z
dc.date.issued2019
dc.identifier.citationNaz, S., Ashraf, S. & Rashmanlou, H. (2019). Measurement of planarity in product bipolar fuzzy graphs. TWMS Journal Of Applied And Engineering Mathematics, 9(2), 339-350.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2722
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/101-vol9no2/414
dc.description.abstractBipolar fuzzy set theory provides a basis for bipolar cognitive modeling and multiagent decision analysis, where in some situations, the product operator may be preferred to the min operator, from theoretical and experimental aspects. In this paper, the definition of product bipolar fuzzy graphs (PBFGs) in [16] is modified. The concepts of product bipolar fuzzy multigraphs (PBFMGs), product bipolar fuzzy planar graphs (PBFPGs) and product bipolar fuzzy dual graphs (PBFDGs) are introduced and their properties are investigated. Meanwhile, the product bipolar fuzzy planarity value of PBFPG is introduced. The relation between PBFPG and PBFDG is also established. Finally, an application of the proposed concepts is provided.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_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.subjectProduct bipolar fuzzy graphen_US
dc.subjectProduct bipolar fuzzy multigraphen_US
dc.subjectProduct bipolar fuzzy planar graphen_US
dc.subjectProduct bipolar fuzzy dual graphen_US
dc.titleMeasurement of planarity in product bipolar fuzzy graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue2
dc.identifier.startpage339
dc.identifier.endpage350
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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