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A Classical and a Fuzzy Approach to Study the (m, n)-antiideals of a Semigroup
Madeleine Al Tahan and Irina Cristea
The aim of this paper is to characterize a semigroup through its left (right) (m, n)-antiideals. To achieve this, we extend the concept of left (right) antiideals to left (right) (m, n)-antiideals of a semigroup. We provide examples to illustrate these generalized antiideals and investigate their key properties. Additionally, we explore the fuzzification of this new concept from a theoretical perspective, establishing a relationship between the left (right) (m, n)-antiideals of a semigroup and their fuzzy counterparts.
Keywords: Antiideal, fuzzy antiideal, (m, n)-antiideal, fuzzy (m, n)-antiideal