Results 251 to 260 of about 197,520 (288)

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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Not-so-fuzzy fuzzy ideals

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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Prime L-fuzzy ideals and primary L-fuzzy ideals

Fuzzy Sets and Systems, 1988
The author introduces the concepts of a primary L-fuzzy ideal and a primary L-fuzzy ideal belonging to a prime L-fuzzy ideal where L is a complete distributive lattice. Let A be an L-fuzzy ideal of a ring X and \(X_ A=\{x\in X| A(x)=A(0)\}\). A is called prime if for \(a,b\in X\), \(A(ab)=A(0)\) implies \(A(a)=A(0)\) or \(A(b)=A(0)\).
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On fuzzy ideals and fuzzy bi-ideals in semigroups

Fuzzy Sets and Systems, 1981
Abstract 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 Quasi-ideals and Fuzzy Bi-ideals in Semirings

2012
The 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, John N. Mordeson, Mohammad Shabir   +2 more
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k-Fuzzy ideals in semirings

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Chang Bum, Park, Mi-Ae
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Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras

Applied Mathematics-A Journal of Chinese Universities, 2008
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Prime Fuzzy Ideals

2003
In this chapter, we characterize prime fuzzy ideals of a semigroup S. Sections 7.1–7.11 are essentially from [151]. We show that a nonconstant fuzzy ideal f of a semigroup S is prime if and only if f is two-valued and there exists an element x0 in S such that f(x0) = 1 and f1 = {x ∈ S | f(x) = 1} is a prime ideal of S.
John N. Mordeson, Davender S. Malik, Nobuaki Kuroki   +2 more
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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.
Jun, Young Bae, Xin, Xiao Long
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Generalized Fuzzy alpha-ideals and Fuzzy alpha-ideals in Semigroups

2012 Second International Conference on Intelligent System Design and Engineering Application, 2012
In this paper, we introduce the concepts of generalized fuzzy ®-ideals and fuzzy ®-ideals of semigroups, and study their related properties by fuzzy points.
Feng Yan, Jian Tang, Xiang-Yun Xie
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