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Related papers: Intuitionistic Fuzzy Points in Semigroups

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The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and…

General Mathematics · Mathematics 2007-05-23 Wieslaw A. Dudek , Bijan Davvaz , Young Bae Jun

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

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. S.K Sardar and S.K. Majumder unified the idea of fuzzy translation and fuzzy multiplication of Vasantha Kandasamy to…

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

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. In this paper, we apply the concept…

General Mathematics · Mathematics 2007-05-23 Bijan Davvaz , Wiesław A. Dudek , Young Bae Jun

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

On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy $H_v$-submodules of an $H_v$-module with respect to $t$-norm $T$ and $s$-norm $S$ is…

General Mathematics · Mathematics 2007-05-23 Jianming Zhan , Wiesław A. Dudek

L.A.Zadeh introduced the concept of fuzzy set theory as the generalization of classical set theory in 1965 and further it has been generalized to intuitionistic fuzzy sets (IFSs) by Atanassov in 1983 to model information by the membership,…

General Mathematics · Mathematics 2016-02-05 V. Lakshmana Gomathi Nayagam , Jeevaraj. S , Geetha Sivaraman

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 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

Fuzzy logic was introduced by Zadeh in 1965. Since then, the importance of fuzzy logic has come increasingly to the present.There are many applications of fuzzy logic in the field of science and engineering, e.g. population dynamics…

Functional Analysis · Mathematics 2011-12-15 Vatan Karakaya , Necip Şimşek , Müzeyyen Ertürk , Faik Gürsoy

The present paper comes across the main steps that laid from Zadeh's fuzziness ana Atanassov's intuitionistic fuzzy sets to Smarandache's indeterminacy and to Molodstov's soft sets. Two hybrid methods for assessment and decision making…

Artificial Intelligence · Computer Science 2022-11-29 Michael Gr. Voskoglou

The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy…

Group Theory · Mathematics 2024-05-20 Shiv Narain , Sunil Kumar , Sandeep Kumar , Gaurav Mittal

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

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 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

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, 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, 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 hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector…

General Mathematics · Mathematics 2010-09-14 Sanjay Roy , T. K. Samanta
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