On Interval-Valued Fuzzy Soft Preordered Sets and Associated Applications in Decision-Making

Mabruka Ali and Adem Kılıçman
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Mabruka Ali: Department of Mathematics and Statistics, Universiti Putra Malaysia UPM, Serdang 43400, Malaysia
Adem Kılıçman: Department of Mathematics and Statistics, Universiti Putra Malaysia UPM, Serdang 43400, Malaysia

Mathematics, 2021, vol. 9, issue 23, 1-15

Abstract: Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an extensive insight into decision-making processes relying on a preference relationship of interval-valued fuzzy soft sets. Firstly, interval-valued fuzzy soft preorderings and an interval-valued fuzzy soft equivalence are established based on the interval-valued fuzzy soft topology. Then, two crisp preordering sets, namely lower crisp and upper crisp preordering sets, are proposed. Next, a score function depending on comparison matrices is expressed in solving multi-group decision-making problems. Finally, a numerical example is given to illustrate the validity and efficacy of the proposed method.

Keywords: interval-valued fuzzy soft preorder; interval-valued fuzzy soft equivalence; preference relationship; decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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