Bipolar fuzzy soft filter and its application to multi-criteria group decision-making

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dc.contributor.authorDemir, Izzettin
dc.contributor.authorSaldamli, Murat
dc.contributor.authorOkurer, Merve
dc.date.accessioned2025-10-11T20:47:53Z
dc.date.available2025-10-11T20:47:53Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe convergence theory is not only a basic theory of topology but also has wide applications in other fields including information technology, economics and computer science. The convergence of filters is also one of the most important tools used in topology to characterize certain concepts such as the closure of a set, continuous mapping, Hausdorff space and so on. Besides, multi-criteria group decision making (for short MCGDM) aims to make unanimous decision based on different criterions to find the most accurate solution of real world problems and so that the MCGDM plays a very important role in our daily life problems. In this paper, taking into account all of these, we firstly introduce the notion of a bipolar fuzzy soft filter (for short BFS-filter) by using bipolar fuzzy soft sets (for short BFS-sets). Also, we define the idea of an ultra BFS-filter and establish some of its properties. Moreover, we investigate the convergence of BFS-filters in a bipolar fuzzy soft topological space (BFS-topological space) with related results. After introducing the concepts of a bipolar fuzzy soft continuity (BFS-continuity) and a bipolar fuzzy soft Hausdorfness (BFS-Hausdorffness), with the aid of the convergence of BFS-filters, we discuss the characterizations of these concepts. Next, we develop a multi-criteria group decision-making method based on the BFS-filters to deal with uncertainties in our daily life. Finally, we present a numerical example to make a decision for selection of best alternative.en_US
dc.identifier.doi10.2298/FIL2510297D
dc.identifier.endpage3313en_US
dc.identifier.issn0354-5180
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-105001409830en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3297en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2510297D
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21630
dc.identifier.volume39en_US
dc.identifier.wosWOS:001469410600008en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectBipolar fuzzy soft seten_US
dc.subjectBFS-filteren_US
dc.subjectultra BFS-filteren_US
dc.subjectconvergenceen_US
dc.subjectBFS-continuityen_US
dc.subjectBFS-Hausdorffnessen_US
dc.subjectmulti-criteria group decision makingen_US
dc.titleBipolar fuzzy soft filter and its application to multi-criteria group decision-makingen_US
dc.typeArticleen_US

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