Abstract
In this article, we study some properties of anti-fuzzy sub-semigroup, anti fuzzy left (right, two sided) ideal, anti fuzzy ideal, anti fuzzy generalized bi-ideal, anti fuzzy interior ideals and anti fuzzy two sided ideal of regular semigroup. Also, we characterized regular LA-semigroup in terms of their anti fuzzy ideal.
Highlights
Introduction and Basic ConceptFuzzy sub-semigroup and fuzzy interior ideal in semigroup was introduced by Hong, et al, in [1]
The concept of characterizations of semigroups by their anti fuzzy ideals was studied by Khan and Asif in [4]
The concept of intra-regular characterized by their anti fuzzy ideals by Khan and Faisal in [5]
Summary
Introduction and Basic ConceptFuzzy sub-semigroup and fuzzy interior ideal in semigroup was introduced by Hong, et al, in [1]. A fuzzy subset ζ of a semigroup א is said to be anti fuzzy left (right) ideal of א A fuzzy subset ζ of a semigroup א is said to be anti fuzzy interior ideal of א
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