Results 161 to 170 of about 31,898 (193)
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Spectrum of prime fuzzy ideals
Fuzzy Sets and Systems, 1994An attempt has been made to introduce an appropriate topology on the set of prime fuzzy ideals. Instead of appealing to other definitions of prime fuzzy ideals, as in literature, the author has taken his own definition introduced earlier; such prime fuzzy ideals in a commutative ring \(R\) with identity are denoted by \(F \text{spec} (R)\); the author ...
H V Kumbhojkar
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Interval-valued prime fuzzy ideals of semigroups
Lobachevskii Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sukhendu Kar, Kar S, Shum K P
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Prime L-fuzzy ideals and primary L-fuzzy ideals
Fuzzy Sets and Systems, 1988The 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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Fuzzy rough prime and semi-prime ideals in semigroups
AIP Conference Proceedings, 2019The purpose of this paper is to introduce the concept of fuzzy rough prime ideals and fuzzy rough semi-prime ideals in semigroups. Some results based on fuzzy rough prime and fuzzy rough semi-prime ideals are established.The purpose of this paper is to ...
V. S. Subha +2 more
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Spectrum of prime L-fuzzy h-ideals of a hemiring
Fuzzy Sets and Systems, 2010The author redefines the notion of a prime fuzzy \(h\)-ideal of a hemiring so that it is not necessarily 2-valued. Let \(S\) be a commutative hemiring with identity. In this case, a non-constant fuzzy \(h\)-ideal \(P\) of \(S\) is prime if \(\forall a,b\in S\), either \(P(ab)=P(a)\) or \(P(ab)=P(b)\).
H V Kumbhojkar
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Uniformly strongly prime fuzzy ideals
2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014In this paper we define the concept of uniformly strongly prime fuzzy ideal for associative rings with unity. This concept is proposed without dependence of level cuts. We show a pure fuzzy demonstration that all uniformly strongly prime fuzzy ideals are a prime fuzzy ideal according to the newest definition given by Navarro, Cortadellas and Lobillo [1]
Flaulles Boone Bergamaschi +1 more
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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 radicals and prime fuzzy ideals of ordered semigroups
Information Sciences, 2008Let \(S\) be an ordered semigroup, \(f\) a fuzzy subset of \(S\) and \(t\in [0,1]\). Then, the set \(f_t:=\{x\in S\mid f(x)\geq t\}\) is called the level subset of \(f\) (introduced by the same authors in an earlier paper). The authors prove first that a fuzzy subset of \(S\) is a fuzzy ideal of \(S\) if and only if the level subset of \(f\), if it is ...
Xiang-Yun Xie, Jian Tang 0002
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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 +2 more
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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 +2 more
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2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018
In this paper, we offer a general prime fuzzy ideal principle for proving that certain fuzzy ideals of a commutative ring are prime. For this purpose, we introduce the concepts of Ako and Oka for some families of fuzzy ideals of a commutative ring and then by these concepts, we can state some familiar results of commutative algebra in fuzzy case. Also,
Esmaeil Rostami, Azadeh Rajabi Khabisi
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In this paper, we offer a general prime fuzzy ideal principle for proving that certain fuzzy ideals of a commutative ring are prime. For this purpose, we introduce the concepts of Ako and Oka for some families of fuzzy ideals of a commutative ring and then by these concepts, we can state some familiar results of commutative algebra in fuzzy case. Also,
Esmaeil Rostami, Azadeh Rajabi Khabisi
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