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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…

Group Theory · Mathematics 2010-11-15 Madad Khan , Faisal , Venus Amjid

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…

Group Theory · Mathematics 2010-10-15 Madad Khan , Faisal

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)…

Group Theory · Mathematics 2010-10-25 Madad Khan , Faisal

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…

Group Theory · Mathematics 2010-12-10 Madad Khan , Naveed Ahmad

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…

Group Theory · Mathematics 2010-12-10 Madad Khan , Naveed Ahmad , Inayatur Rehman

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…

Group Theory · Mathematics 2009-04-02 Madad Khan , Muhammad Nouman Aslam Khan

We have characterized an intra-regular {\Gamma}-AG^{**}-groupoids by using the properties of {\Gamma}-ideals (left, right, two-sided ), {\Gamma}-interior, {\Gamma}-quasi, {\Gamma}-bi and {\Gamma}-generalized bi and {\Gamma}-(1,2)). We have…

Group Theory · Mathematics 2010-11-08 Madad Khan , Venus Amjid , Faisal

Using the idea of a quasi-coincedece of a fuzzy point with a fuzzy set, the concept of an ({\alpha},{\beta})-fuzzy bi-ibeals in AG-groupoid is introduced in this paper, which is a generalization of the concept of a fuzzy bi-ideal in…

Group Theory · Mathematics 2010-10-20 Madad Khan , Kifayat Ullah

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.

Rings and Algebras · Mathematics 2015-01-27 Wieslaw A. Dudek , Madad Khan , Nasir Khan

In this paper, fuzzy h-bi-ideals, fuzzy h-quasi-ideals and fuzzy h-interior ideals of a $\Gamma$-hemiring are studied and some related properties are investi- gated. The notions of h-intra-hemiregularity and h-quasi-hemiregularity of a…

General Mathematics · Mathematics 2012-01-09 S. K. Sardar , D. Mandal

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…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Soumitra Kayal

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.…

General Mathematics · Mathematics 2011-02-02 Samit Kumar Majumder

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…

Information Theory · Computer Science 2010-11-13 Nayyar Mehmood , Imran Haider Qureshi

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $\Gamma$-semirings and to prove subsequently that these oprations give rise to different structures such as complete lattice, modular lattice on some…

General Mathematics · Mathematics 2011-12-25 T. K. Dutta , Sujit Kumar Sardar , Sarbani Goswami

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

Logic · Mathematics 2012-10-25 S. Abdullah , M. Atique Khan , M. Aslam

We characterize the fuzzy left (resp. right) ideals, the fuzzy ideals and the fuzzy prime (resp. semiprime) ideals of an ordered $\Gamma$-groupoid $M$ in terms of level subsets and we prove that the cartesian product of two fuzzy left…

General Mathematics · Mathematics 2015-01-19 Niovi Kehayopulu

In this paper we have studied the relation between the fuzzy left (respectively right) ideals of $\Gamma-$semiring and that of operator semiring. Thereafter, we have established that the Lattices of all fuzzy left (respectively right) ideal…

General Mathematics · Mathematics 2010-10-13 Jayanta Ghosh , T. K. Samanta

In this paper the concept of fuzzy characteristic interior ideals in partially ordered gamma-semigroups(Po-gamma-semigroups) has been introduced. It is observed that it satisfies level subset criterion and characteristic function criterion.

General Mathematics · Mathematics 2011-02-02 Samit Kumar Majumder

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.

General Mathematics · Mathematics 2013-01-15 Muhammad aslam , Saleem Abdullah , Muhammad Atique Khan

In this paper the concept of the extension of fuzzy h-ideals in one-sided $\Gamma$-hemiring is introduced and some of its properties are investigated. Specially we have studied the extension of prime fuzzy h-ideals in $\Gamma$-hemirings and…

General Mathematics · Mathematics 2011-12-25 Sujit Kumar Sardar , Debabrata Mandal
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