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Dheena, P., Coumaressane, S.. (1386). GENERALIZATION OF ($\epsilon $, $\epsilon $ $\vee$ q)−FUZZY SUBNEAR-RINGS AND IDEALS. نشریه علمی دانشگاه سیستان و بلوچستان, 5(1), 79-97. doi: 10.22111/ijfs.2008.318
P. Dheena; S. Coumaressane. "GENERALIZATION OF ($\epsilon $, $\epsilon $ $\vee$ q)−FUZZY SUBNEAR-RINGS AND IDEALS". نشریه علمی دانشگاه سیستان و بلوچستان, 5, 1, 1386, 79-97. doi: 10.22111/ijfs.2008.318
Dheena, P., Coumaressane, S.. (1386). 'GENERALIZATION OF ($\epsilon $, $\epsilon $ $\vee$ q)−FUZZY SUBNEAR-RINGS AND IDEALS', نشریه علمی دانشگاه سیستان و بلوچستان, 5(1), pp. 79-97. doi: 10.22111/ijfs.2008.318
Dheena, P., Coumaressane, S.. GENERALIZATION OF ($\epsilon $, $\epsilon $ $\vee$ q)−FUZZY SUBNEAR-RINGS AND IDEALS. نشریه علمی دانشگاه سیستان و بلوچستان, 1386; 5(1): 79-97. doi: 10.22111/ijfs.2008.318

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

Iranian Journal of Fuzzy Systems
مقاله 7، دوره 5، شماره 1، اردیبهشت 2008، صفحه 79-97    اصل مقاله (238.54 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2008.318
نویسندگان
P. Dheena؛ S. Coumaressane*
Department of Mathematics, Annamalai University, Annamalainagar- 608002, India
چکیده
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.
کلیدواژه‌ها
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
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