Abstract:

Based on the theory of cut sets on intuitionistic fuzzy sets and the neighborhood relations between a fuzzy point xt and an intuitionistic fuzzy set A, the definition of  (∈,∈∨q)intuitionistic fuzzy ideals of a ring are given by the 3-valued Lukasiewicz implication operator. Some of its equivalent conditions and properties are obtained.

Key words: ring;generalized fuzzy ideal; (∈,∈∨q)-fuzzy ideal; (∈,∈∨q)-intuitionistic fuzzy ideal; implication operator