Abstract
In this paper, the concept of interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup with respect to interval t-norm T and interval t-conorm S is given and the characteristic properties are described. We characterized some other classes of ternary semigroups by the properties these interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup. The homomorphic image and inverse image are also investigated.
Highlights
In 1932, Lehmer introduced the concept of ternary semigroup [1]
The algebraic structures of ternary semigroups were studied by some authors, for example, Sioson studied ideals in ternary semigroups [2]
The concept of a fuzzy set was formulated by Zadeh in [5], since the theory of fuzzy sets developed by Zadeh and others has evoked tremendous interest among researchers working in different branches of mathema tics
Summary
In 1932, Lehmer introduced the concept of ternary semigroup [1]. The algebraic structures of ternary semigroups were studied by some authors, for example, Sioson studied ideals in ternary semigroups [2]. Interval Valued Intuitionistic (S–, T–)-Fuzzy Ideals of Ternary Semigroups We define interval valued intuitionistic (S,T ) -fuzzy left (right, lateral) ideals of ternary semigroups and prove some basic properties of these ideals.
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