Results 121 to 130 of about 853 (163)

Fuzzy ideals and fuzzy prime ideals of a ring

Fuzzy Sets and Systems, 1991
Firstly, the authors focus on the generalization of the well-known classical property: the union of two ideals of a ring is again an ideal iff one of them is contained in the other. By means of a counterexample it is proven that this property does not hold in general for fuzzy ideals.
Dixit, V. N., Kumar, Rajesh, Ajmal, Naseem   +2 more
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Primary fuzzy ideals and radical of fuzzy ideals

Fuzzy Sets and Systems, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
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On properties of fuzzy ideals

2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013
The main goal of this paper is to investigate the properties of fuzzy ideals of a ring R. It provides a proof that there exists an isomorphism of lattices of fuzzy ideals when ever the rings are isomorphic. Finite-valued fuzzy ideals are also described and a method is created to count the number of fuzzy ideals in finite and Artinian rings.
Flaulles Boone Bergamaschi, Regivan H. N. Santiago   +1 more
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On the fuzzy polynomial ideals

Journal of Intelligent & Fuzzy Systems, 2014
In 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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Radicals of fuzzy ideals

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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Fuzzy prime ideals and prime fuzzy ideals

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy prime ideals and fuzzy radical ideals

Information Sciences, 1990
Abstract 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, 2001
Let \(\mu\) 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, 1991
Abstract 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, 2015
In 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, Benjamín René Callejas Bedregal, Regivan Hugo Nunes Santiago   +2 more
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