INTUITIONISTIC FUZZY BCI-COMMUTATIVE IDEALS IN BCI-ALGEBRAS

Abstract

In this paper, we consider the intuitionistic fuzzification of the concept of BCI-commutative ideals in BCI-algebras and investigate some of their properties. We will show that every intuitionistic fuzzy BCI-commutative ideal of a BCI-algebra X is an intuitionistic fuzzy ideal of X. We will give some characterization theorems on this intuitionistic fuzzy ideal using the concept of upper t-level cut and lower s-level cut. We will also give its characterization using the concept of intuitionistic fuzzy ideal extensions.