More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups
نویسندگان
1 State Key Laboratory, Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang, 330013, China
2 Department of Mathematics Education (and RINS), Gyeongsang Na- tional University, Chinju 660-701, Korea
3 School of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
doi
10.22111/ijfs.2012.135چکیده
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.
