Analysis on the Hesitation and its Application to Decision Making

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dc.contributor.authorYang, Y.
dc.contributor.authorLee, S.
dc.contributor.authorKim, K.S.
dc.contributor.authorZhang, H.
dc.contributor.authorHuang, X.
dc.contributor.authorPedrycz, W.
dc.date.accessioned2024-05-19T14:33:48Z
dc.date.available2024-05-19T14:33:48Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractA novel score function based on the Poincaré metric is proposed and applied to a decision-making problem. Decision-making on Fuzzy Sets (FSs) has been considered due to the flexibility of the data, and it is applied to the decision-making. However, decisions with FSs are sometimes nondecisive even for different membership degrees. Hence, Intuitionistic Fuzzy Sets (IFSs) data is applied to design a score function for the decision-making with the Poincaré metric. This function is supported by the profound information of IFSs; IFSs include hesitation degree together with membership and non-membership degree. Hence, IFS membership and non-membership degree are expressed as two-dimensional vectors satisfying the Poincaré metric for simplification. At the same time, the proposed approach addresses the hesitation information in the IFS data. Next, a score function is proposed, constructed and provided. The proposed score function has a strict monotonic property and addresses the preference without resorting to the accuracy function. The strict monotonic property guarantees the preference of all attributes. Additionally, the existing problem of score function design in IFSs is addressed: they return zero scores even with different meanings for the same membership and non-membership degree. The advantages of the proposed score function over existing ones are demonstrated through illustrative examples. From the calculation results, the proposed decision score function discriminates between all candidates. Hence, the proposed research provides a solid foundation for the hesitation analysis on the decision-making problem. © 2024 The Authors.en_US
dc.description.sponsorshipI am grateful to the faculty and staff of the Software Engineering department at New Uzbekistan University, Tashkent, for their guidance and support throughout this project.en_US
dc.identifier.doi10.31181/dmame722024978
dc.identifier.endpage34en_US
dc.identifier.issn2560-6018
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85184381572en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage15en_US
dc.identifier.urihttps://doi.org/10.31181/dmame722024978
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4341
dc.identifier.volume7en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRegional Association for Security and crisis managementen_US
dc.relation.ispartofDecision Making: Applications in Management and Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240519_kaen_US
dc.subjectDecision-Making Strategyen_US
dc.subjectIntuitionistic Fuzzy Setsen_US
dc.subjectPoincaré Metricen_US
dc.subjectScore Functionen_US
dc.titleAnalysis on the Hesitation and its Application to Decision Makingen_US
dc.typeArticleen_US

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