Application of Induced Preorderings in Score Function-Based Method for Solving Decision-Making with Interval-Valued Fuzzy Soft Information

Mabruka Ali, Adem Kiliçman and Azadeh Zahedi Khameneh
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Mabruka Ali: Department of Mathematics, Universiti Putra Malaysia, Serdang UPM 43400, Malaysia
Adem Kiliçman: Department of Mathematics, Universiti Putra Malaysia, Serdang UPM 43400, Malaysia
Azadeh Zahedi Khameneh: Institute for Mathematical Research, Universiti Putra Malaysia, Serdang UPM 43400, Malaysia

Mathematics, 2021, vol. 9, issue 13, 1-19

Abstract: Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three interval-valued fuzzy soft set-based decision-making algorithms in the literature. However, these algorithms are not able to overcome the issue of comparable alternatives and, in fact, might be ignored due to the lack of a comprehensive priority approach. In order to provide a partial solution to this problem, we present a group decision-making solution which is based on a preference relationship of interval-valued fuzzy soft information. Further, corresponding to each parameter, two crisp topological spaces, namely, lower topology and upper topology, are introduced based on the interval-valued fuzzy soft topology. Then, using the preorder relation on a topological space, a score function-based ranking system is also defined to design an adjustable multi-steps algorithm. Finally, some illustrative examples are given to compare the effectiveness of the present approach with some existing methods.

Keywords: interval-valued fuzzy soft sets; interval-valued fuzzy soft topology; 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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