The VIKOR Method with Pythagorean Fuzzy Sets and Their Applications

Pythagorean fuzzy sets (PFS) is proposed by Yager, which characterized by a membership, nonmembership and hesitation degree. The condition that the square sum of its membership and nonmembership degree is less than or equal to one and is very useful for decision makers (DMs) to depict the fuzzy character of data comprehensively. It is hypothesized that the PFS is also capable to model uncertainty and impreciseness in the practical decision making problems. A handful of research focused on Vlsekriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method based on IFS but no one pay attention to propose the new VIKOR based on PFS. Therefore, the purpose of this paper is to propose the PFS for VIKOR method. This study uses Pythagorean fuzzy sets to handle the linguistic uncertainty and imprecision of human beings judgment. Finally, the compromise solution can be obtained. An illustrative example is demonstrated to show their practicality and effectiveness of the proposed VIKOR based on PFS.

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