INTUITIONISTIC FUZZY BCI-COMMUTATIVE IDEALS IN BCI-ALGEBRAS
DOI:
https://doi.org/10.57041/vol64iss4pp%25pKeywords:
Intuitionistic fuzzy set, Intuitionistic fuzzy ideal, Intuitionistic fuzzy BCI-commutative ideal, Intuitionistic fuzzy ideal extensionAbstract
In this paper, we consider the intuitionistic fuzzification of the concept of BCIcommutative 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 tlevel cut and lower s-level cut. We will also give its characterization using the concept of intuitionistic
fuzzy ideal extensions.
2000 Mathematics subject classification: 03G25, 06F35.
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