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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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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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Fuzzy Sets and Systems, 1990
The authors look for algebraic structures which do not admit proper fuzzy substructures. The main answer is the following: Theorem. If a ring R is Boolean, Artinian or a principal ideal domain, then in R any proper prime fuzzy ideal P has supp P\(=\{0\}\). As a generalization they get a characterization of rings with finite chains of ideals.
Kumbhojkar, H. V., Bapat, M. S.
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The authors look for algebraic structures which do not admit proper fuzzy substructures. The main answer is the following: Theorem. If a ring R is Boolean, Artinian or a principal ideal domain, then in R any proper prime fuzzy ideal P has supp P\(=\{0\}\). As a generalization they get a characterization of rings with finite chains of ideals.
Kumbhojkar, H. V., Bapat, M. S.
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Fuzzy Sets and Systems, 1998
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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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Fuzzy ideals and fuzzy semiprime ideals: Some ring theoretic analogues
Information Sciences, 1992The author contributes to the straightforward fuzzification of the concept ideal in a ring. Some interesting analogues of the classical results are obtained: -- The fuzzy nil radical of the \(n\)th power of a fuzzy prime ideal equals itself. -- Under rather general supplementary conditions it is shown that a fuzzy ideal of a ring is fuzzy primary if ...
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Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras
Applied Mathematics-A Journal of Chinese Universities, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1995
The authors define a fuzzy ring. The approach is similar to the one used by the first author [in Inf. Sci. 80, No. 3-4, 253-282 (1994; Zbl 0832.20088)] to define a fuzzy group. The authors define and examine the notions of a fuzzy subring and a fuzzy ideal.
Dib, K. A., Galhum, N., Hassan, A. A. M.
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The authors define a fuzzy ring. The approach is similar to the one used by the first author [in Inf. Sci. 80, No. 3-4, 253-282 (1994; Zbl 0832.20088)] to define a fuzzy group. The authors define and examine the notions of a fuzzy subring and a fuzzy ideal.
Dib, K. A., Galhum, N., Hassan, A. A. M.
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