Abstract
Spherical fuzzy set (SFS) is one of the most important and extensive concept to accommodate more uncertainties than existing fuzzy set structures. In this article, we will describe a novel enhanced TOPSIS-based procedure for tackling multi attribute group decision making (MAGDM) issues under spherical fuzzy setting, in which the weights of both decision-makers (DMs) and criteria are totally unknown. First, we study the notion of SFSs, the score and accuracy functions of SFSs and their basic operating laws. In addition, defined the generalized distance measure for SFSs based on spherical fuzzy entropy measure to compute the unknown weights information. Secondly, the spherical fuzzy information-based decision-making technique for MAGDM is presented. Lastly, an illustrative example is delivered with robot selection to reveal the efficiency of the proposed spherical fuzzy decision support approach, along with the discussion of comparative results, to prove that their results are feasible and credible.
Highlights
In recent research environment, multi-attribute group decision making (MAGDM) has played a vital role in the decision support systems [1,2,3,4,5,6,7]
We propose a technique to solve the multi attribute group decision making (MAGDM) problems in term of spherical fuzzy informations
The decision maker give the information in the form of Pythagorean fuzzy sets
Summary
Multi-attribute group decision making (MAGDM) has played a vital role in the decision support systems [1,2,3,4,5,6,7]. Introduced the geometric aggregation operators for the group decision-making problem with the interval valued PyF set environment. Khan et al [21] proposed the Dombi aggregation operators using Dombi norm for PyF information and discussed their application in decision making. In this paper, a novel improved TOPSIS-based method is established to address with such circumstances of unknown weight information of both DMs and criteria weights and to solve the MAGDM problem after compute all the weights. Generalized distance measure is established to find the differences between two SFSs. In the presented spherical fuzzy TOPSIS (SF-TOPSIS) for solving MAGDM problems, generalized distance measures-based entropy measure is introduced to find out the criteria weights under SF information used in this paper.
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