ON NEW INTUITIONISTIC FUZZY(\ep,η)-NEGATION AND (\ep,η)-IMPLICATION

Authors : Krassimir T ATANASSOV

Pages : 51-60

Doi:10.33773/jum.1134441

View : 26 | Download : 13

Publication Date : 2022-07-31

Article Type : Research Paper

Abstract :The concept of an Intuitionistic Fuzzy Set insert ignore into journalissuearticles values(IFS); was introduced in 1983 in \cite{ITKR} and again there in it, the first definition of operation intuitionistic fuzzy negation over IFS was introduced. Later, in \cite{IFPC}, two forms of the operation intuitionistic fuzzy implication were introduced. As of the 2000s, more than 200 different implications and more than 50 different negations arise and in [5 -- 21, 23, 24], their basic properties were discussed. In \cite{e,ee}, two negations, namely $\ep$-negation and $insert ignore into journalissuearticles values(\ep,\eta);$-negation, were introduced and over their bases $\ep$- and $insert ignore into journalissuearticles values(\ep,\eta);$-implications were defined, respectively. It was shown that the $insert ignore into journalissuearticles values(\ep,\eta);$-negation and $insert ignore into journalissuearticles values(\ep,\eta);$-implication are extensions of the $\ep$-negation and $\ep$-implication, respectively.
Keywords : Implication, Intuitionistic fuzzy set, Negation