GENERALIZATION OF ($\epsilon $, $\epsilon $ $\vee$ q)−FUZZY SUBNEAR-RINGS AND IDEALS

Document Type : Research Paper

Authors

Department of Mathematics, Annamalai University, Annamalainagar- 608002, India

Abstract

In this paper, we introduce the notion of ($\epsilon $, $\epsilon $ $\vee$ q_{k})− fuzzy subnear-ring which is a generalization of ($\epsilon $, $\epsilon $ $\vee$ q)−fuzzy subnear-ring. We have given examples which are ($\epsilon $, $\epsilon $ $\vee$ q_{k})−fuzzy ideals but they are not ($\epsilon $, $\epsilon $ $\vee$ q)−fuzzy ideals. We have also introduced the notions of ($\epsilon $, $\epsilon $ $\vee$ q_{k})−fuzzyquasi-ideals and ($\epsilon $, $\epsilon $ $\vee$ q_{k})−fuzzy bi-ideals of near-ring. We have characterized($\epsilon $, $\epsilon $ $\vee$ q_{k})−fuzzy quasi-ideals and ($\epsilon $, $\epsilon $ $\vee$ q_{k})−fuzzy bi-ideals of nearrings.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 5, Issue 1 - Serial Number 1
January and February 2008
Pages 79-97

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