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Fuzzy primary representations of fuzzy ideals
Information Sciences, 1991Abstract Let R be a commutative ring with identity, and let A be a fuzzy ideal of R . Then A is said to have a fuzzy primary representation if A is the intersection of a finite number of fuzzy primary ideals. We show that every fuzzy ideal A of R such that A (0) = 1 has a fuzzy primary representation if and only if R is artinian.
D. S. Malik, John N. Mordeson
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On fuzzy h-ideals in hemirings
Information Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun +2 more
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Neural Computing and Applications, 2011
Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy ideal, which is a generalization of a fuzzy ideal, in a semiring is introduced and related properties are investigated. At the following, the concept of fuzzy ideals with thresholds is introduced, and the relationship between logical implication ...
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Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy ideal, which is a generalization of a fuzzy ideal, in a semiring is introduced and related properties are investigated. At the following, the concept of fuzzy ideals with thresholds is introduced, and the relationship between logical implication ...
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On Fuzzy h-Ideals of Hemirings
Journal of Systems Science and Complexity, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueling Ma, Jianming Zhan 0001
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On fuzzy ideals and fuzzy bi-ideals in semigroups
Fuzzy Sets and Systems, 1981Abstract In this paper we give some properties of fuzzy ideals and fuzzy bi-ideals of semigroups, and characterize semigroups that are (left) duo, (left) simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi-ideals.
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Fuzzy Sets and Systems, 1996
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Alfonso Garmendia +2 more
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Alfonso Garmendia +2 more
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Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zahran, A. M. +3 more
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SOFT IDEALS AND GENERALIZED FUZZY IDEALS IN SEMIGROUPS [PDF]
New Mathematics and Natural Computation, 2009 A soft semigroup over a semigroup is a collection of subsemigroups. Similarly, a soft ideal over a semigroup is a collection of ideals of the semigroup. As a natural consequence, the idea of soft ideals of a soft semigroup originates. Soft ideals over a semigroup with a fixed set of parameters form a distributive lattice.
MUHAMMAD SHABIR, MUHAMMAD IRFAN ALI
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Fuzzy Quasi-ideals and Fuzzy Bi-ideals in Semirings
2012The object of this chapter is to study fuzzy quasi-ideals and fuzzy bi-ideals and Section 1 provides a study of these ideals. Section 2 presents various characterizations of regular semirings involving these fuzzy ideals. In Section 3, we examine and characterize regular and intra regular semirings in this context. Section 4 provides a study of fuzzy k-
Javed Ahsan +2 more
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On the fuzzy radical of a fuzzy ideal
Fuzzy Sets and Systems, 1993In this short communication, the author examines the equivalence of various definitions of the fuzzy radical of a fuzzy ideal in a commutative ring with identity.
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