Results 271 to 280 of about 1,019,548 (292)
Some of the next articles are maybe not open access.
Prime and primary L-fuzzy ideals of L-fuzzy rings
Fuzzy Sets and Systems, 1999This paper elaborates on the earlier introduced concept of a fuzzy ideal of an \(L\)-fuzzy ring where \(L\) denotes a totally distributive bounded lattice. More concretely the following notions are (re-)introduced in this framework: fuzzy prime ideal, primary fuzzy ideal and fuzzy radical of a fuzzy ideal.
openaire +2 more sources
THE STRONGLY PRIME RADICAL OF A FUZZY IDEAL
Decision Making and Soft Computing, 2014proposed Strongly PrimeFuzzy(SP) ideals for commutative and noncommutative rings with unity, andinvestigated their properties. This paper goes a step further since it providesthe concept of Strongly Prime Radical of a fuzzy ideal and its propertiesare investigated. It is shown that Zadeh’s extension preserves strongly primeradicals.
Flaulles B. Bergamaschi +1 more
openaire +1 more source
Fuzzy prime ideals of pseudo-MV algebras
Soft Computing, 2007Pseudo-MV algebras, as a non-commutative generalization of MV-algebras, are an algebraic counterpart of the non-commutative Łukasiewicz infinite-valued propositional logic. The paper deals with fuzzy ideals of pseudo-MV algebras. The author gives a new construction of the fuzzy ideal generated by a fuzzy set of a pseudo-MV algebra. Further, fuzzy prime
openaire +2 more sources
On Prime Hesitant Fuzzy Ideals in Semigroups
2022Theory of hesitant fuzzy sets is an important tool in algebraic systems, fuzzy sets theory, partially ordered sets, data mining, etc. The aim of this chapter is to apply prime hesitant fuzzy ideal for dealing with several kinds of theories in semigroups. The concepts of prime hesitant fuzzy, weakly prime hesitant fuzzy, completely prime hesitant fuzzy,
openaire +1 more source
Ideals and filters on intuitionistic fuzzy lattices
International journal of neutrosophic scienceBased on the concept of Atanassov’s intuitionistic fuzzy set on a universe X, we introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy filters on an intuitionistic fuzzy lattice. More specifically, we provide characterizations of
Soheyb Soheyb, Soheyb Milles, L. Zedam
semanticscholar +1 more source
Spectrum of prime L-fuzzy h-ideals of a hemiring
Fuzzy Sets and Systems, 2010The author redefines the notion of a prime fuzzy \(h\)-ideal of a hemiring so that it is not necessarily 2-valued. Let \(S\) be a commutative hemiring with identity. In this case, a non-constant fuzzy \(h\)-ideal \(P\) of \(S\) is prime if \(\forall a,b\in S\), either \(P(ab)=P(a)\) or \(P(ab)=P(b)\).
openaire +1 more source
On prime, quasi-prime, weakly quasi-prime fuzzy left ideals of semigroups
Fuzzy Sets and Systems, 2001First the author introduces the concepts of a fuzzy left (right) ideal of a semigroup. Then the concept of a prime fuzzy left ideal is introduced and characterized in terms of fuzzy singletons. It is shown that this prime notion is a natural fuzzification of the crisp notion.
openaire +3 more sources
ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
2010In this paper, we introduce and study the prime, strongly prime, semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize those semigroups for which each fuzzy bi-ideal is semiprime. We also characterize those semigroups for which each fuzzy bi-ideal is strongly prime.
Shabir, Muhammad +2 more
openaire +1 more source
Various generalized prime fuzzy ideals of semirings
THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019G. Mohanraj, S. Azhaguvelavan
semanticscholar +1 more source
The principles of prime ideals and maximal ideals in Q-fuzzy subsets
AIP Conference Proceedings, 2023B. Sailaja, V. Prasad, M. Ramesh
semanticscholar +1 more source