Results 221 to 230 of about 17,041 (266)
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On the fuzzy polynomial ideals
Journal of Intelligent & Fuzzy Systems, 2014In this paper we introduce the notion of a fuzzy polynomial ideal α x of a polynomial ring R[x] induced by a fuzzy ideal α of a ring R, and obtain an isomorphism theorem of a ring of fuzzy cosets of α x .
Chang Bum Kim, Hee Sik Kim, Keum Sook So
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Information Sciences, 1992
New approaches to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal etc. are introduced and the comparisons with those already known are processed. The authors try to unify the various possible representations of fuzzy ideals in studying fuzzy nonlinear systems of equations.
D. S. Malik, John N. Mordeson
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New approaches to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal etc. are introduced and the comparisons with those already known are processed. The authors try to unify the various possible representations of fuzzy ideals in studying fuzzy nonlinear systems of equations.
D. S. Malik, John N. Mordeson
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Ideals and fuzzy ideals on residuated lattices
International Journal of Machine Learning and Cybernetics, 2014This paper mainly focus on building the ideals theory of non regular residuated lattices. Firstly, the notions of ideals and fuzzy ideals of a residuated lattice are introduced, their properties and equivalent characterizations are obtained; at the meantime, the relation between filter and ideal is discussed.
Yi Liu 0005 +3 more
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Fuzzy prime ideals and prime fuzzy ideals
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 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 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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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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