Pythagorean Picture Fuzzy Sets, Part 1- basic notions


  • Bui Cong Cuong Institute of Mathematics, VAST



Keywords. Picture Fuzzy Set, Pythagorean Picture Fuzzy Set


Picture fuzzy set (2013) is a generalization of the Zadeh‟ fuzzy set (1965) and the Antanassov‟
intuitionistic fuzzy set. The new concept could be useful for many computational intelligent
problems. Basic operators of the picture fuzzy logic were studied by Cuong, Ngan [10,11 ].New
concept –Pythagorean picture fuzzy set ( PPFS) is a combination of Picture fuzzy set with the
Yager‟s Pythagorean fuzzy set [12-14].First, in the Part 1 of this paper, we consider basic notions
on PPFS as set operators of PPFS‟s , Pythagorean picture relation, Pythagorean picture fuzzy soft
set. Next, the Part 2 of the paper is devoted to main operators in fuzzy logic on PPFS: picture
negation operator, picture t-norm, picture t-conorm, picture implication operators on PPFS.As a
result we will have a new branch of the picture fuzzy set theory.


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How to Cite

B. C. Cuong, “Pythagorean Picture Fuzzy Sets, Part 1- basic notions”, JCC, vol. 35, no. 4, p. 293–304, Oct. 2019.




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