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

نویسندگان

  • Young Bae Jun Department of Mathematics Education (and RINS), Gyeongsang Na- tional University, Chinju 660-701, Korea
  • Yunqiang Yin State Key Laboratory, Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, 330013, China
  • Zhihui Yang School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
چکیده مقاله:

This paper consider the   general  forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. Special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related  properties are investigated. Thecharacterization 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.

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more general forms of $(alpha, beta )$-fuzzy ideals of ordered semigroups

this paper consider the   general  forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related  pr...

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عنوان ژورنال

دوره 9  شماره 4

صفحات  99- 113

تاریخ انتشار 2012-10-01

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