Results 251 to 260 of about 1,282,734 (293)
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Fuzzy prime ideals and invertible fuzzy ideals in BCK-algebras
Fuzzy Sets and Systems, 2001Let \(\mu\) and \(\nu\) be fuzzy ideals of a commutative BCK-algebra \(X\). \(\mu\) is called prime iff it is non-constant and \(\mu(x\wedge y)=\max\{\mu(x), \mu(y)\}\) for all \(x,y\in X\). If \(\nu^+ (x)=1-\inf\{\nu(y) |y\wedge x=0\}\) is a fuzzy ideal of \(X\), then \(\nu\) is called invertible.
Young Bae Jun, Xiao Long Xin 0001
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Fuzzy prime ideals and fuzzy radical ideals
Information Sciences, 1990Abstract Some properties of the fuzzy prime ideals and radical ideals are studied. Also we study the structure of fuzzy principal ideals.
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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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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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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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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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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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Alfonso Garmendia +2 more
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Alfonso Garmendia +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 ...
openaire +2 more sources