A Novel Spherical Fuzzy Bi-Objective Linear Assignment Method and Its Application to Insurance Options Selection

Seyed Amin Seyfi-Shishavan (), Fatma Kutlu Gündoğdu, Yaser Donyatalab (), Elmira Farrokhizadeh () and Cengiz Kahraman ()
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Seyed Amin Seyfi-Shishavan: Industrial Engineering Department, Istanbul Technical University, Macka 34367, Istanbul, Turkey
Fatma Kutlu Gündoğdu: #x2020;Turkish Air Force Academy, National Defence University, Yesilyurt, 34149, Istanbul, Turkey
Yaser Donyatalab: Industrial Engineering Department, Istanbul Technical University, Macka 34367, Istanbul, Turkey
Elmira Farrokhizadeh: Industrial Engineering Department, Istanbul Technical University, Macka 34367, Istanbul, Turkey
Cengiz Kahraman: Industrial Engineering Department, Istanbul Technical University, Macka 34367, Istanbul, Turkey

International Journal of Information Technology & Decision Making (IJITDM), 2021, vol. 20, issue 02, 521-551

Abstract: Spherical fuzzy sets are the latest extension of the ordinary fuzzy sets. The main characteristic of the spherical fuzzy sets is satisfying the condition that the squared sum of the membership, nonmembership, and hesitancy degrees must be at least zero and at most one. In this research, by extending the classical linear assignment method to bi-objective linear assignment and integrating it with cosine similarity measure, we presented a novel beneficial method for solving multiple criteria group decision-making problems in the spherical fuzzy environment. A new concept for weighting the criteria, which is composed of positive and negative impacts (weights), is introduced. The proposed bi-objective model tries to maximize positive impacts and minimize the negative impacts simultaneously. In order to solve the bi-objective linear assignment model, ε-constraint method is applied. Therefore, a trade-off solution is formed between maximizing positive impacts and minimizing negative impacts. The applicability and validity of the proposed method are shown through an insurance options selection problem. To test the reliability and validity of the proposed method, comparative and sensitivity analysis are performed.

Keywords: MCDM; bi-objective linear assignment method; similarity measure; positive impact; negative impact; spherical fuzzy sets (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0219622021500073

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