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

Authors

  • P. Dheena Department of Mathematics, Annamalai University, Annamalainagar- 608002, India
  • S. Coumaressane 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.

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