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The purpose of this paper is to initiate and study on the generalization of the fuzzification of ideals in a class of non-associative and non-commutative algebraic structures (LA-ring). We characterize different classes of LA-ring in terms of intuitionistic fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals.

Characterizations of Non-associative Rings by Their Intuitionistic Fuzzy Bi-ideals