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The intuitionistic fuzzy subrings and fuzzy ideals

2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011
In this paper,we present the concept of (α, β)-intuitionistic fuzzy subring(ideal). And we show that, in 16 kinds of (α, β)- intuitionistic fuzzy subrings(ideals), the significant ones are the (∈, ∈)- intuitionistic fuzzy subring(ideal), the (∈, ∈ ∨ q )-intuitionistic fuzzy subring(ideal) and the (∈ ∧q; ∈)- intuitionistic fuzzy subring(ideal).
Bin Yu, Xue-Hai Yuan
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On fuzzy semiprimary ideals

Information Sciences, 1995
In this paper, the author shows that semiprimary ideals and primary ideals are equivalent in any principal ideal domain. The author defines \(p\)-semiprimary ideals and obtains some related results. He then redefines fuzzy semiprimary ideals in terms of fuzzy points and proves that this definition is equivalent to a previous definition.
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k-Fuzzy ideals in semirings

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang Bum Kim, Mi-Ae Park
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On fuzzy h-ideals in hemirings

Information Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun   +2 more
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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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T-fuzzy prime ideals

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfonso Garmendia   +2 more
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Fuzzy ideals of semirings

Neural Computing and Applications, 2011
Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy ideal, which is a generalization of a fuzzy ideal, in a semiring is introduced and related properties are investigated. At the following, the concept of fuzzy ideals with thresholds is introduced, and the relationship between logical implication ...
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Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization

Chaos, Solitons & Fractals, 2009
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Zahran, A. M.   +3 more
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SOFT IDEALS AND GENERALIZED FUZZY IDEALS IN SEMIGROUPS [PDF]

open access: possibleNew Mathematics and Natural Computation, 2009
A soft semigroup over a semigroup is a collection of subsemigroups. Similarly, a soft ideal over a semigroup is a collection of ideals of the semigroup. As a natural consequence, the idea of soft ideals of a soft semigroup originates. Soft ideals over a semigroup with a fixed set of parameters form a distributive lattice.
MUHAMMAD SHABIR, MUHAMMAD IRFAN ALI
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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   +2 more
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