• INTUITIONISTIC FUZZY SUB COMMUTATIVE - IDEALS OF BCI-ALGEBRAS

N. Palaniappan, R. Devi*, P. S. Veerappan

Abstract


The notions of intuitionistic fuzzy sub commutative-ideals in BCI-algebras are introduced. The characterization properties of intuitionistic fuzzy sub commutative-ideals are obtained. We investigate the relations between intuitionistic fuzzy sub commutative-ideals and other intuitionistic fuzzy ideals, between intuitionistic fuzzy sub commutative-ideals and BCI-algebras and show that an intuitionistic fuzzy subset of a BCI-algebra is an intuitionistic fuzzy sub implicative – ideal if and only if it is both an intuitionistic fuzzy sub commutative – ideal and an intuitionistic fuzzy BCI-positive implicative ideal.

Keywords


BCI-algebra, intuitionistic fuzzy ideal, intuitionistic fuzzy sub implicative - ideal, intuitionistic fuzzy sub commutative - ideal.

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