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

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.