A Novel Approach Based on Similarity Measure for Pythagorean Fuzzy Multiple Criteria Group Decision Making

By Xiaolu Zhang. International Journal of Intelligent Systems, 2016

381 citations recorded by the source corpus.

The Pythagorean fuzzy set, as a new extension of intuitionistic fuzzy set, has recently been developed to manage the complex uncertainty in practical group decision problems. The purpose of this article is to develop a new decision method based on similarity measure to address multiple criteria group decision making problems within Pythagorean fuzzy environment based on Pythagorean fuzzy numbers (PFNs). The contribution of this article is fivefold: (1) An accuracy function of PFNs is defined and a new ranking method for PFNs is proposed; (2) new Pythagorean fuzzy aggregating operators are developed; (3) a novel similarity measure for PFNs is presented, and some desirable properties are discussed; (4) a simple and effective Pythagorean fuzzy group decision method is introduced; and (5) The proposed method is applied to address the selection problem of photovoltaic cells.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/57acf7c5999d031cde64022eaa65f0d2119280c4

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Citations in the corpus

Fermatean fuzzy sets (2019, methodology): “He acknowledged MCDM problem on account the place the criteria fulfilment would be communicated utilizing PMGs. Zhang (2016) showed an MCDM problem by using the idea of the similarity measure.”
Pythagorean Fuzzy Information Measures and Their Applications (2017, methodology): “Zhang 24 developed a novel approach based on similarity measure for Pythagorean fuzzy MAGDM.”
TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management (2021, methodology): “Then, the PFSWA operator may be reduced to the IFSWA operator [47].”
Pythagorean fuzzy set: state of the art and future directions (2017, background): “For convenience,Zhang (2016a) andPengandYang (2016a) called p̃ = ([μ−p̃ , μ+p̃ ], [ν−p̃ , ν+p̃ ]) an interval-valued Pythagorean fuzzy number (IVPFN).”