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New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications
Author(s) -
Garg Harish
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22043
Subject(s) - logarithm , pythagorean theorem , base (topology) , set (abstract data type) , selection (genetic algorithm) , fuzzy logic , computer science , mathematics , fuzzy set , mathematical optimization , artificial intelligence , mathematical analysis , geometry , programming language
The aim of this paper is to develop some new logarithm operational laws (LOL) with real number base λ 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 λ in practice are discussed.