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

Authors

yunqiang yin

young bae jun

zhihui yang

abstract

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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Journal title:
iranian journal of fuzzy systems

Publisher: university of sistan and baluchestan

ISSN 1735-0654

volume 9

issue 4 2012

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