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Related papers: On Q-Fuzzy Ideals in Gamma-Semigroups

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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 extension of a Q-fuzzy ideal in semigroups has been introduced and some important properties have been studied.

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

In this paper some fundamental relationships of a gamma semigroup and its operator semigroups in terms of intuitionistic fuzzy subsets, intuitionistic fuzzy ideals, intuitionistic fuzzy prime(semiprime) ideals, intuitionistic fuzzy ideal…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

The operator semirings of a $\Gamma$-semiring have been brought into use to study $\Gamma$-semiring in terms of fuzzy subsets. This is accomplished by obtaining various relationships between the set of all fuzzy ideals of a…

General Mathematics · Mathematics 2011-12-25 Sujit Kumar Sardar , Y. B. Jun , Sarbani Goswami

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 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, 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 introduced and study fuzzy gamma-hypersemigroups, according to fuzzy semihyper- groups as previously defined [33] and prove that results in this respect. In this regard first we introduce fuzzy hyperoperation and then study fuzzy…

General Mathematics · Mathematics 2013-10-03 R. Ameri , R. Sadeghi

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 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, 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…

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

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…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

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…

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

Various correspondence between fuzzy h-ideals of a $\Gamma$-hemiring and fuzzy h-ideals of its operator hemirings are established and some of their characterizations are given using lattice structure and cartesian product.

General Mathematics · Mathematics 2011-12-25 S. K. Sardar , B. Davvaz , D. Mandal

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

In this paper we characterize left(right) ideals, bi-ideals and quasi-ideals of an ordered semigroup by an index $m$ and give some important interplays between these ideals. The concept of m-regularity of an ordered semigroups has been…

Group Theory · Mathematics 2022-03-22 Susmita Mallick

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.

Group Theory · Mathematics 2011-07-25 Naveed Yaqoob

The theory of fuzzy semigroups is a branch of mathematics that arose in early 90's as an effort to characterize properties of semigroups by the properties of their fuzzy subsystems which include, fuzzy subsemigroups and their alike, fuzzy…

General Mathematics · Mathematics 2023-10-11 Anjeza Krakulli , Elton Pasku

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
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