A new distance measure for interval valued intuitionistic fuzzy sets and its application to group decision making problems with incomplete weights information

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dc.contributor.authorDugenci, Muharrem
dc.date.accessioned2024-09-29T15:55:04Z
dc.date.available2024-09-29T15:55:04Z
dc.date.issued2016
dc.departmentKarabük Üniversitesien_US
dc.description.abstractThe aim of this study is to introduce a novel generalized distance measure for interval valued intuitionistic fuzzy sets and to illustrate the applicability of the proposed distance measure to group decision making problems. Firstly, a generalized distance measure is proposed along with proofs satisfying its axioms. Then, a comparison between the proposed distance measure and well-known distance measures is performed in terms of counter-intuitive cases. Subsequently, the extension of TOPSIS method, in which the proposed distance measure is used to calculate separation measures, to an interval valued intuitionistic fuzzy (IVIF) environment is demonstrated to solve multi-criteria group decision making (MCGDM) problems using optimal criteria weights determined with linear programming model based on the concept of maximizing relative closeness coefficient. Finally, two illustrative examples are provided for proof-of concept purposes and to demonstrate benefits of using the proposed distance measure over the existing ones in IVIF TOPSIS method for MCGDM problems. (C) 2015 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.asoc.2015.12.026
dc.identifier.endpage134en_US
dc.identifier.issn1568-4946
dc.identifier.issn1872-9681
dc.identifier.scopus2-s2.0-84954150870en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage120en_US
dc.identifier.urihttps://doi.org/10.1016/j.asoc.2015.12.026
dc.identifier.urihttps://hdl.handle.net/20.500.14619/4427
dc.identifier.volume41en_US
dc.identifier.wosWOS:000370639600010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofApplied Soft Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInterval valued intuitionistic fuzzy seten_US
dc.subjectTOPSISen_US
dc.subjectDistance measureen_US
dc.subjectMulti-criteria group decision makingen_US
dc.subjectIncomplete criteria weightsen_US
dc.titleA new distance measure for interval valued intuitionistic fuzzy sets and its application to group decision making problems with incomplete weights informationen_US
dc.typeArticleen_US

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