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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 Ćukasiewicz 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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On prime and primary fuzzy ideals and their radicals
Fuzzy Sets and Systems, 1993H V Kumbhojkar
exaly
Some comments on spectrums of prime fuzzy ideals of a ring
Fuzzy Sets and Systems, 1997H V Kumbhojkar
exaly
On the range of a g-prime fuzzy ideal
Communications in Algebra, 1999Ram Parkash Sharma, Samriti Sharma
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