Results 151 to 160 of about 31,898 (193)
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Rough prime ideals and rough fuzzy prime ideals in semigroups
Information Sciences, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Q. Xiao, Zhen-Liang Zhang
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Fuzzy ideals and fuzzy prime ideals of a ring
Fuzzy Sets and Systems, 1991Firstly, 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.
Naseem Ajmal
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A characterization of L-fuzzy prime ideals
Fuzzy Sets and Systems, 1991A definition is given for the concept of an \(L\)-fuzzy prime ideal that is more restrictive than the concept introduced by \textit{Y. Zhang} [ibid. 27, 345-350 (1988; Zbl 0663.13001)]. The new definition is based on the concept of an \(L\)-fuzzy point, where even the value zero is allowed, which means that the \(L\)-fuzzy set \(\phi: X\to \{0\}\) is ...
M M Zahedi
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Fuzzy Sets and Systems, 1990
Abstract This paper characterizes all fuzzy prime ideals P of an arbitrary ring R. We show that a nonconstant fuzzy ideal P of R is prime if and only if P0 ={;x ϵ R: P(x) = P(0)}; is a prime ideal of R, P is two-valued, and P(0) = 1. Examples are given showing that P0 is a prime ideal is not sufficient for P to be a fuzzy prime ideal and that P0 may ...
John Mordeson
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Abstract This paper characterizes all fuzzy prime ideals P of an arbitrary ring R. We show that a nonconstant fuzzy ideal P of R is prime if and only if P0 ={;x ϵ R: P(x) = P(0)}; is a prime ideal of R, P is two-valued, and P(0) = 1. Examples are given showing that P0 is a prime ideal is not sufficient for P to be a fuzzy prime ideal and that P0 may ...
John Mordeson
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Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfonso Garmendia
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfonso Garmendia
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Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups
Soft Computing, 2019The notion of primeness for fuzzy ideals of near-rings is not new, but the approach of the authors to this topic is in the sense that they deal with fuzzy ideals with thresholds. This opens up more possibilities and leads to a wider and more interesting class of examples.
B. S. Kedukodi +2 more
semanticscholar +4 more sources
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
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Fuzzy Sets and Systems, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
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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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