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Yin, Yunqiang, Jun, Young Bae, Yang, Zhihui. (1391). More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups. نشریه علمی دانشگاه سیستان و بلوچستان, 9(4), 99-113. doi: 10.22111/ijfs.2012.135
Yunqiang Yin; Young Bae Jun; Zhihui Yang. "More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups". نشریه علمی دانشگاه سیستان و بلوچستان, 9, 4, 1391, 99-113. doi: 10.22111/ijfs.2012.135
Yin, Yunqiang, Jun, Young Bae, Yang, Zhihui. (1391). 'More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups', نشریه علمی دانشگاه سیستان و بلوچستان, 9(4), pp. 99-113. doi: 10.22111/ijfs.2012.135
Yin, Yunqiang, Jun, Young Bae, Yang, Zhihui. More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups. نشریه علمی دانشگاه سیستان و بلوچستان, 1391; 9(4): 99-113. doi: 10.22111/ijfs.2012.135

More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups

Iranian Journal of Fuzzy Systems
مقاله 8، دوره 9، شماره 4، دی 2012، صفحه 99-113    اصل مقاله (404.32 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.135
نویسندگان
Yunqiang Yin* 1؛ Young Bae Jun2؛ Zhihui Yang3
1State Key Laboratory, Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, 330013, China
2Department of Mathematics Education (and RINS), Gyeongsang Na- tional University, Chinju 660-701, Korea
3School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
چکیده
This paper consider the   general  forms of $(alpha,beta)$-fuzzy
left ideals (right ideals, bi-ideals, interior ideals) of an ordered
semigroup, where
$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedge
q_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneq
in_{gamma}wedge q_{delta}$. Special attention is paid to
$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interior
ideals) and some related  properties are investigated. The
characterization of regular ordered semigroups  in terms of
$(in_{gamma},ivq)$-fuzzy left (right) ideals,
$(in_{gamma},ivq)$-fuzzy bi-ideals and
$(in_{gamma},ivq)$-fuzzy interior ideals is also investigated.
کلیدواژه‌ها
Ordered semigroups؛ $(\alpha؛ beta)$-fuzzy left (right) ideals؛ $(in_{gamma}؛ ivq)$-fuzzy bi-ideals؛ ivq)$-fuzzy interior ideals
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