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Characterizing semigroups by Q-fuzzy ideals

Keywords: Q-fuzzy ideal , Q-fuzzy point , fuzzy semiprime Q-fuzzy ideal

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Abstract:

In this paper, we introduce the concept of Q-fuzzy left [right, twosided]ideal in semigroups. Moreover, the operations with Q-fuzzy setsand its related properties are discussed. Especially, we investigate therelationship between Q-fuzzy point and Q-fuzzy left [right] ideal. Finally,some theorems are given to characterize intra-regular semigroupsin terms of fuzzy semiprime Q-fuzzy [left, right] ideals.

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