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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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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 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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Strongly prime fuzzy ideals over noncommutative rings
2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013In this paper it is defined the concept of strongly prime fuzzy ideal for noncommutative rings. Also, it is proved that the Zadeh's extension preserves strongly fuzzy primeness and that every strongly prime fuzzy ideal is a prime fuzzy ideal as well as every fuzzy maximal is a strongly prime fuzzy ideal.
Flaulles Boone Bergamaschi +1 more
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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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Generalized fuzzy h-bi-ideals and h-quasi-ideals of hemirings
Information Sciences, 2009Jianming Zhan
exaly
Ideals and fuzzy ideals on residuated lattices
International Journal of Machine Learning and Cybernetics, 2014Yi Liu, Yang Xu
exaly

