Results 231 to 240 of about 1,078 (248)
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Spectrum of prime fuzzy ideals
Fuzzy Sets and Systems, 1994An attempt has been made to introduce an appropriate topology on the set of prime fuzzy ideals. Instead of appealing to other definitions of prime fuzzy ideals, as in literature, the author has taken his own definition introduced earlier; such prime fuzzy ideals in a commutative ring \(R\) with identity are denoted by \(F \text{spec} (R)\); the author ...
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Fuzzy rough prime and semi-prime ideals in semigroups
AIP Conference Proceedings, 2019The purpose of this paper is to introduce the concept of fuzzy rough prime ideals and fuzzy rough semi-prime ideals in semigroups. Some results based on fuzzy rough prime and fuzzy rough semi-prime ideals are established.The purpose of this paper is to introduce the concept of fuzzy rough prime ideals and fuzzy rough semi-prime ideals in semigroups ...
V. S. Subha +2 more
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Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po-$$\Gamma $$-Semigroups Based on Fuzzy Points
2015Using fuzzy points the notions of prime fuzzy ideals, weakly prime fuzzy ideals, completely prime fuzzy ideals, and weakly completely prime fuzzy ideals of a po-\(\Gamma \)-semigroup have been introduced. Some important properties and characterizations of these ideals have been obtained.
Pavel Pal +2 more
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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.
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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
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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,
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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 \(P(ab)=P(b)\).
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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.
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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
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