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In this paper, we have introduced the concept of intuitionistic fuzzy ideals in an AG-groupoids. We have characterized regular and intra-regular AG-groupoids in terms of intuitionistic fuzzy left (right, two-sided) ideals, fuzzy…

群论 · 数学 2010-10-15 Madad Khan , Faisal

In this paper, we have introduced the notion of {\Gamma}-fuzzification in {\Gamma}-AG-groupoids which is in fact the generalization of fuzzy AG-groupoids. We have studied several properties of an intra-regular {\Gamma}-AG^{**}-groupoids in…

群论 · 数学 2010-11-08 Madad Khan , Faisal

In the present paper we have studied the concept of fuzzification in AG-groupoids. The equivalent statement for an AG-groupoid to be a commutative semigroup is proved. Fuzzy points have been defined in an AG-groupoid and has been shown the…

群论 · 数学 2009-04-02 Madad Khan , Muhammad Nouman Aslam Khan

In this paper, we have discussed several properties of intuitionistic fuzzy {\Gamma}-ideals of a {\Gamma}-AG-groupoid which is the generalization of ideals in AG-groupoid We have characterized an intra-regular {\Gamma}-AG^{**}-groupoid in…

群论 · 数学 2010-11-15 Madad Khan , Faisal , Venus Amjid

We characterize intra-regular Abel-Grassmann's groupoids by the properties of their ideals and $(\in ,\in!\vee q_{k})$-fuzzy ideals of various types.

环与代数 · 数学 2015-01-27 Wieslaw A. Dudek , Madad Khan , Nasir Khan

In this paper, we have discussed the properties of intuitionistic fuzzy ideals of an AG-groupoids. We have characterized an intra-regular AG-groupoid in terms of intuitionistic fuzzy left (right, two-sided) ideals, fuzzy (generalized)…

群论 · 数学 2010-10-25 Madad Khan , Faisal

In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (epsilon, epsilon join q)- fuzzy subsemigroup and (epsilon, epsilon join q)- fuzzy bi-ideal in a gamma-semigroup have been introduced and…

综合数学 · 数学 2011-02-02 Sujit Kumar Sardar , Bijan Davvaz , Samit Kumar Majumder , Soumitra Kayal

The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in gamma-semigroups and to introduce the notion of fuzzy quasi ideals in gamma-semigroups. Here we also characterize a regular gamma-semigroup…

综合数学 · 数学 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Soumitra Kayal

In this paper the notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set, which generalizes the concept of quasicoincidence of a fuzzy point in a fuzzy set is concentrated.

综合数学 · 数学 2022-08-31 M. Anbarloei

In this paper the concept of Q-fuzzification of ideals of gamma-semigroups has been introduced and some important properties have been investigated. A characterization of regular gamma-semigroup in terms of Q-fuzzy ideals has been obtained.…

综合数学 · 数学 2011-02-02 Samit Kumar Majumder

In this paper, we have introduced the concept of $\left( \in ,\in \vee q\right) $-fuzzy ideals in a right modular groupoid. We have discussed several important features of a completely regular right modular groupoid by using the $\left( \in…

群论 · 数学 2010-10-19 Madad Khan , Shamas-ur-Rehman

We introduce the concepts of fuzzy right and fuzzy left ideals of hypergroupoids and the concept of a fuzzy bi-ideal of an hypersemigroup and we show that a fuzzy subset $f$ of an hypergroupoid $H$ is a fuzzy right (resp. fuzzy left) ideal…

综合数学 · 数学 2016-06-03 Niovi Kehayopulu

In this paper the concept of extension of a Q-fuzzy ideal in semigroups has been introduced and some important properties have been studied.

综合数学 · 数学 2011-02-02 Samit Kumar Majumder

In this article, the concept of generalized fuzzy ideals in LA-semigroups. We introduced different types of generalized fuzzy ideals like bi-ideals, interior ideals and quasi ideals in LA-semigroups

逻辑 · 数学 2012-10-25 S. Abdullah , M. Atique Khan , M. Aslam

In this article, we give some characterization results offuzzy left(right) ideals, fuzzy generalized bi-ideals and -fuzzy bi-ideals of an LA-semigroup. We also give some characterizations of LA-semigroups by the properties of fuzzy ideals.

综合数学 · 数学 2013-01-15 Muhammad aslam , Saleem Abdullah , Muhammad Atique Khan

In this paper, the notion of bipolar-valued fuzzy LA-subsemigroups is introduced and also some properties of bipolar-valued fuzzy left (right, bi-, interior) ideals of LA-semigroups has been discussed.

群论 · 数学 2011-07-25 Naveed Yaqoob

In this paper we have discussed the ideals in Abel Grassmann's groupoids and construct their topologies.

群论 · 数学 2009-04-13 Qaiser Mushtaq , Madad Khan

The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. In this paper we apply this concept of Atanassov to ideals, prime ideals and semiprime ideals of gamma semigroups in order to…

综合数学 · 数学 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

In this paper we have discusses {\Gamma}-left, {\Gamma}-right, {\Gamma}-bi-, {\Gamma}-quasi-, {\Gamma}-interior and {\Gamma}-ideals in {\Gamma}-AG^{**}-groupoids and regular {\Gamma}-AG^{**}-groupoids. Moreover we have proved that the set…

群论 · 数学 2010-12-10 Madad Khan , Naveed Ahmad

In this paper the concept of the extensions of intuitionistic fuzzy ideals in a semigroup has been extended to a {\Gamma}-Semigroups. Among other results characterization of prime ideals in a {\Gamma}-Semigroups in terms of intuitionistic…

信息论 · 计算机科学 2010-11-13 Nayyar Mehmood , Imran Haider Qureshi
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