New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications

Harish Garg

185 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Optimization and Mathematical Programming Fuzzy and Soft Set Theory

Abstract

The aim of this paper is to develop some new logarithm operational laws (LOL) with real number base for the Pythagorean fuzzy sets. Some properties of LOL have been studied and based on these, various weighted averaging and geometric operators have been developed. Then, we utilized it to solve the decision-making problems. The validity of the proposed method is demonstrated with a numerical example and compared the results with the several existing approaches result. Finally, the influences of logarithmic operation and the selection of the logarithmic base in practice are discussed.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 2013Pythagorean Membership Grades in Multicriteria Decision Making 2013Pythagorean fuzzy subsets 2007Intuitionistic Fuzzy Aggregation Operators 2006Some geometric aggregation operators based on intuitionistic fuzzy sets 1999Intuitionistic Fuzzy Sets

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