FUZZY IDEALS OF NEAR-RINGS WITH INTERVAL VALUED MEMBERSHIP FUNCTIONS

B Davaz

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Rings, Modules, and Algebras

Abstract

In this paper, for a complete lattice L, we introduce interval-valued L-fuzzy ideal (prime ideal) of a near-ring which is an extended notion of fuzzy ideal (prime ideal) of a near-ring. Some characterization and properties are discussed.

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References

1996Fuzzy sets 1967L-fuzzy sets 1982Fuzzy invariant subgroups and fuzzy ideals 1991On fuzzy subnear-rings and ideals 1987On fuzzy ideals of a ring I 1994Rosenfeld's fuzzy subgroups with interval-valued membership functions 1990Fuzzy prime ideals of a ring

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2007Fuzzy R-subgroups with thresholds of near-rings and implication operators

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