Results 221 to 230 of about 1,078 (248)

Interval-valued prime fuzzy ideals of semigroups

Lobachevskii Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kar, Kar S, Shum K P
exaly   +3 more sources

THE STRONGLY PRIME RADICAL OF A FUZZY IDEAL

Decision Making and Soft Computing, 2014
proposed Strongly PrimeFuzzy(SP) ideals for commutative and noncommutative rings with unity, andinvestigated their properties. This paper goes a step further since it providesthe concept of Strongly Prime Radical of a fuzzy ideal and its propertiesare investigated. It is shown that Zadeh’s extension preserves strongly primeradicals.
Regivan H N Santiago
exaly   +2 more sources

Rough prime ideals and rough fuzzy prime ideals in semigroups

Information Sciences, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi-Mei Xiao, Zhen-Liang Zhang
openaire   +1 more source

Uniformly strongly prime fuzzy ideals

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
In 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, Regivan H. N. Santiago   +1 more
openaire   +1 more source

Fuzzy prime ideals and prime fuzzy ideals

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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.
openaire   +1 more source

Fuzzy radicals and prime fuzzy ideals of ordered semigroups

Information Sciences, 2008
Let \(S\) 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
openaire   +2 more sources

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
openaire   +1 more source

FUZZY PRIME IDEALS OF A SEMIRING AND FUZZY PRIME SUB-SEMIMODULES OF A SEMIMODULE OVER A SEMIRING [PDF]

New Mathematics and Natural Computation, 2006
In this paper we define fuzzy prime right ideals and fuzzy prime subsemimodules of a right R-semimodule. We characterize those semirings for which each fuzzy ideal is prime and those semirings for which each fuzzy right ideal is prime.
J. AHSAN, K. SAIFULLAH, M. SHABIR
openaire   +2 more sources

On properties of Uniformly Strongly Prime fuzzy ideals

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
The main purpose of this paper is to continue the study of uniform strong primeness in fuzzy setting started in 2014. A pure fuzzy notion of this structure allows us to develop specific fuzzy results on Uniformly Strongly Prime (USP) ideals over commutative and noncommutative rings.
Flaulles Boone Bergamaschi, Regivan H. N. Santiago   +1 more
openaire   +1 more source