• INTUITIONISTIC ANTI - FUZZY HX BI-IDEAL OF A HX RING

R. MUTHURAJ, M. S. MUTHURAMAN

Abstract


In this paper, we define the notion of intuitionistic anti- fuzzy HX bi-ideal of a HX ring and some of their related properties are investigated. We define the necessity and possibility operators of an intuitionistic fuzzy subset of an intuitionistic anti- fuzzy HX bi-ideal of a HX ring and discuss some of its properties. We discuss the concept of an image, pre-image of an intuitionistic anti-fuzzy HX bi-ideal of a HX ring and homomorphic, anti homomorphic properties of an intuitionistic anti- fuzzy HX bi-ideal of a HX ring are discussed.


Keywords


intuitionistic fuzzy set, fuzzy HX ring, intuitionistic ant- fuzzy HX bi-ideal, homomorphism and anti homomorphism of an intuitionistic anti- fuzzy HX bi-ideal, anti-image and pre-image of an intuitionistic anti- fuzzy HX bi-ideal.

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