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IJSTR >> Volume 8 - Issue 8, August 2019 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Implication Operator On Pythagorean Fuzzy Set

[Full Text]



I.Silambarasan, S.Sriram



Intuitionistic fuzzy set, Pythagorean fuzzy set, Algebraic sum, Algebraic product, Implication operator.



Pythagorean fuzzy sets,involvoing membership, non membership and hesitancy considerations present mathematically a very general structure. Because of these considerations, if is possible to define several operations/ compositions of these sets. In the existing literature ten different operations on such sets are defined. These ten operations on Pythagorean fuzzy sets bear intersting properties. In this paper, we have identified and proved several of these properties, particularly those involving the operation A→B defined as pythagorean fuzzy implication with other operations.



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