Fuzzy Ideals In Near-Subtraction Semigroups

In this paper, the notion of anti fuzzy ideals in near subtraction semigroups is introduced and investigated some related properties.

2014

In this paper, we introduce the notion of fuzzy interior ideal, fuzzy bi-ideal, intuitionistic fuzzy interior ideal and intuitionistic fuzzy bi-ideal of a subtraction semigroup. We characterize a non-empty subset of a subtraction semigroup X through intuitionistic fuzzy ideal, intuitionistic fuzzy bi-ideal and intuitionistic fuzzy interior ideal. We give some equivalent conditions related to these notions.

In this paper, we introduce the new concept of fuzzy weak bi-ideals of near-subtraction semigroups. Some of its properties with examples were also given.

Applied Mathematical Sciences, 2016

The notion of (α, β)-fuzzy left (right, bi-) ideals in semigroups is introduced, and related properties are investigated. Characterizations of (∈, ∈ ∨ q δ 0)-fuzzy left (right, bi-) ideals are provided.

Thai Journal of Mathematics, 2017

The notion of (a, b)-fuzzy bi-ideals in semigroups is introduced, and related properties are investigated. Characterizations of (in, inVqd0)-generalized fuzzy bi-ideals are provided.

2013

Generalizing the notions of -fuzzy left (right) ideal, -fuzzy quasi-ideal, and -fuzzy bi-ideal, the notions of -fuzzy left (right) ideal, -fuzzy quasi-ideal and -fuzzy bi-ideal of semigroups are defined. Regular, intra regular and semisimple semigroups are characterized by the properties of these fuzzy ideals.

2017

—The aims of this paper are to characterize fuzzy subsemigroups, fuzzy generalized bi-ideals, fuzzy bi-ideals and fuzzy quasi-ideals of semigroups. We de ne certain subsets of semigroups S, [0, 1] and S × [0, 1]. The relationships between sets of fuzzy points and the certain subsets of the semigroup S × [0, 1] are discussed. In the main results, characterizations of fuzzy subsemigroups, fuzzy generalized bi-ideals, fuzzy biideals and fuzzy quasi-ideals of semigroups are investigated by using the certain subsets of semigroups S, [0, 1] and S× [0, 1]. Index Terms—fuzzy subsemigroups, fuzzy generalized biideals, fuzzy bi-ideals, fuzzy quasi-ideals, semigroups.

Journal of Mathematics Research, 2010

In this paper we have studied the concept of Anti fuzzy ideals in Left Almost Semigroups (LA-semigroup in short). The equivalent statement for an LA-semigroup to be a commutative semigroup is proved. The set of all anti fuzzy left ideals, which are idempotents, forms a commutative monoid. Moreover it has been shown that the union of any family of Anti fuzzy left ideals of an LA-semigroup is an anti fuzzy left ideal of F(S ). The relation of anti fuzzy left(right) ideals, anti fuzzy interior ideals and anti fuzzy bi-ideals in LA-semigroups has been studied. Anti fuzzy points have been defined in an LA-semigroup and has been shown the representation of largest fuzzy left ideal generated by a fuzzy point.

Journal of Mathematics, 2013

We have characterized right weakly regular semigroups by the properties of their(∈,∈∨qk)-fuzzy ideals.