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Types of fuzzy ideals in fuzzy lattices
Journal of Intelligent & Fuzzy Systems, 2015In this paper we consider the notion of Fuzzy Lattices, which was introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374). We propose some new notions for Fuzzy Ideals and Filters and provide a characterization of Fuzzy Ideals via α-level Sets and Support.
Ivan Mezzomo +2 more
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The intuitionistic fuzzy subrings and fuzzy ideals
2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011In this paper,we present the concept of (α, β)-intuitionistic fuzzy subring(ideal). And we show that, in 16 kinds of (α, β)- intuitionistic fuzzy subrings(ideals), the significant ones are the (∈, ∈)- intuitionistic fuzzy subring(ideal), the (∈, ∈ ∨ q )-intuitionistic fuzzy subring(ideal) and the (∈ ∧q; ∈)- intuitionistic fuzzy subring(ideal).
Bin Yu, Xue-Hai Yuan
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Information Sciences, 1995
In this paper, the author shows that semiprimary ideals and primary ideals are equivalent in any principal ideal domain. The author defines \(p\)-semiprimary ideals and obtains some related results. He then redefines fuzzy semiprimary ideals in terms of fuzzy points and proves that this definition is equivalent to a previous definition.
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In this paper, the author shows that semiprimary ideals and primary ideals are equivalent in any principal ideal domain. The author defines \(p\)-semiprimary ideals and obtains some related results. He then redefines fuzzy semiprimary ideals in terms of fuzzy points and proves that this definition is equivalent to a previous definition.
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Fuzzy Sets and Systems, 1996
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Chang Bum Kim, Mi-Ae Park
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Chang Bum Kim, Mi-Ae Park
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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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