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Related papers: Bipolar-Valued Fuzzy Ideals in LA-semigroups

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A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated. It is proved that a fuzzy subset $\zeta$ of a hemiring $S$…

Rings and Algebras · Mathematics 2007-05-23 Jianming Zhan , Wiesław A. Dudek

In this paper we provide a general setting to deal with level continuous fuzzy-valued functions. Namely, we embed such functions into a product of spaces of real-valued functions of two variables satisfying certain types of left-continuity,…

General Mathematics · Mathematics 2026-03-31 J. J. Font , S. Macario , M. Sanchis

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

A left almost semigroup (LA-semigroup) or an Abel-Grassmann's groupoid (AG-groupoid) is investigated in several papers. In this paper we have discussed ideals in LA-semigroups. Specifically, we have shown that every ideal in an LA-semigroup…

Group Theory · Mathematics 2009-04-13 Qiaser Mushtaq , Madad Khan

A complex intuitionistic fuzzy Lie superalgebra is a generalization of intuitionistic fuzzy Lie superalgebra whose membership function takes values in the unit disk in the complex plane. In this research, the concepts of complex…

General Mathematics · Mathematics 2022-09-22 Ameer Jaber

In this paper one presents new similarity, cardinality and entropy measures for bipolar fuzzy set and for its particular forms like intuitionistic, paraconsistent and fuzzy set. All these are constructed in the framework of multi-valued…

Artificial Intelligence · Computer Science 2015-06-09 Vasile Patrascu

Following G.Szasz [2] a subsemigroup I of semigroup S is called an interior ideal if SIS \subset I. In this paper we explore the classes of regular semigroup and its different subclasses by their interior ideals. Furthermore, we introduce…

Group Theory · Mathematics 2022-02-18 Susmita Mallick

We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self…

Discrete Mathematics · Computer Science 2015-01-27 Muhammad Akram , Wieslaw A. Dudek

In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one provided by Kumbhojkar and Bapat in [Not-so-fuzzy fuzzy…

Rings and Algebras · Mathematics 2016-10-26 Gabriel Navarro , Oscar Cortadellas , F. J. Lobillo

In this article we introduce the study of fuzzy semihyperrings and fuzzy R-semihypermodules, where R is a semihyperrings and R-semihypermodules are represntations of R. In particular, semihyperrings all of whose hyperideals are idempotent,…

General Mathematics · Mathematics 2013-04-24 Aqeel Ahmed , Muhammad Aslam

In decision analysis and especially in multiple criteria decision analysis, several non additive integrals have been introduced in the last sixty years. Among them, we remember the Choquet integral, the Shilkret integral and the Sugeno…

Functional Analysis · Mathematics 2012-04-27 Salvatore Greco , Fabio Rindone

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

In this manuscript, we introduce a new concept, which is called fuzzy left (right) derivations KU- ideals in KU-algebras. We state and prove some theorems about fundamental properties of it. Moreover, we give the concepts of the image and…

Rings and Algebras · Mathematics 2015-06-16 Samy M. Mostafa , Ahmed Abd-eldayem

In this paper, we have tried to apply the concepts of fuzzy sets to Lie groups and its relative concepts. First, we define a ${\cal C}^1$ fuzzy submanifold after reviewing ${\cal C}^1-$fuzzy manifold definition. In main section, we defined…

Differential Geometry · Mathematics 2010-10-05 M. Nadjafikhah , R. Bakhshandeh-Chamazkoti

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a…

Other Computer Science · Computer Science 2011-11-09 Ath. Kehagias , M. Konstantinidou

In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and…

General Mathematics · Mathematics 2014-03-17 Juthika Mahanta

In this paper we introduce the notion of interval valued hesitant fuzzy soft topological space. Also the concepts of interval valued hesitant fuzzy soft closure, interior and neighbourhood are introduced here and established some important…

General Mathematics · Mathematics 2017-06-06 Manash Jyoti Borah , Bipan Hazarika

For an intra-regular or a left regular and left duo ordered $\Gamma$-semigroup $M$, we describe the principal filter of $M$ which plays an essential role in the structure of this type of $po$-$\Gamma$-semigroups. We also prove that an…

Rings and Algebras · Mathematics 2015-11-04 Niovi Kehayopulu , Michael Tsingelis

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

Here we characterize regular and completely regular ordered semigroups by their minimal bi-ideals. A minimal bi-ideal is expressed as a product of a minimal right ideal and a minimal left ideal. Furthermore, we show that every bi-ideal in a…

Rings and Algebras · Mathematics 2017-01-26 Kalyan Hansda