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

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.

کلیدواژه ها:

Near ring ، Fuzzy subnear-ring ، Fuzzy ideal ، Fuzzy quasi-ideal ، Fuzzy bi-ideal (epsilon ، epsilon vee q)−fuzzy subnear-ring ، (epsilon ، epsilon vee q)−fuzzy ideal ، (epsilon ، epsilon vee q)−fuzzy quasi-ideal ، (epsilon ، epsilon vee q)−fuzzy bi-ideal ، (epsilon ، epsilon vee q_{k})−fuzzy subnear-ring ، (epsilon ، epsilon vee q_{k})− fuzzy ideal ، (epsilon ، epsilon vee q_{k})− fuzzy quasi-ideal ، (epsilon ، epsilon vee q_{k})− fuzzy bi-ideal