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Fuzzy prime ideals of pseudo-MV algebras

Soft Computing, 2007
Pseudo-MV algebras, as a non-commutative generalization of MV-algebras, are an algebraic counterpart of the non-commutative Ɓukasiewicz 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

2022
Theory 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

Spectrum of prime L-fuzzy h-ideals of a hemiring

Fuzzy Sets and Systems, 2010
The 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, 2001
First 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

2010
In 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

On prime and primary fuzzy ideals and their radicals

Fuzzy Sets and Systems, 1993
H V Kumbhojkar
exaly  

Some comments on spectrums of prime fuzzy ideals of a ring

Fuzzy Sets and Systems, 1997
H V Kumbhojkar
exaly  

-fuzzy prime ideals

Fuzzy Sets and Systems, 1996
Alfonso Garmendia, Adela Salvador
exaly  

On the range of a g-prime fuzzy ideal

Communications in Algebra, 1999
Ram Parkash Sharma, Samriti Sharma
openaire   +1 more source

Spectrum of prime -fuzzy h-ideals of a hemiring

Fuzzy Sets and Systems, 2010
H V Kumbhojkar
exaly  

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