Abstract
The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right, interior) ideals.
Highlights
In 1972, a generalization of commutative semigroup has been established by Naseeruddin et al [14]
We prove that in ordered AG-groupoids, the concept of anti fuzzy ideals coincide
A fuzzy set μ on a given set X is described as an arbitrary function μ : X → [0, 1], where [0, 1] is the unit closed interval of real numbers
Summary
In 1972, a generalization of commutative semigroup has been established by Naseeruddin et al [14]. Right) ideal of S, if following hold (1) SA ⊆ A Right, interior) ideals in an ordered AG-groupoids, basically an ordered AG-groupoid is non-commutative and non-associative ordered semigroup. In this present paper, we characterize regular Right regular, left regular, (2, 2)regular, weakly regular and intra-regular) ordered AG-groupoids in terms of anti fuzzy left The concept of anti fuzzy (interior, two-sided) ideals coincide in ((2, 2) , left, intra-) regular ordered AG-groupoids with left identity
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