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http://dx.doi.org/10.11568/kjm.2014.22.2.367

COINCIDENCES OF DIFFERENT TYPES OF FUZZY IDEALS IN ORDERED Γ-SEMIGROUPS  

Kanlaya, Arunothai (Department of Mathematics University of Phayao)
Iampan, Aiyared (Department of Mathematics University of Phayao)
Publication Information
Korean Journal of Mathematics / v.22, no.2, 2014 , pp. 367-381 More about this Journal
Abstract
The notion of ${\Gamma}$-semigroups was introduced by Sen in 1981 and that of fuzzy sets by Zadeh in 1965. Any semigroup can be reduced to a ${\Gamma}$-semigroup but a ${\Gamma}$-semigroup does not necessarily reduce to a semigroup. In this paper, we study the coincidences of fuzzy generalized bi-ideals, fuzzy bi-ideals, fuzzy interior ideals and fuzzy ideals in regular, left regular, right regular, intra-regular, semisimple ordered ${\Gamma}$-semigroups.
Keywords
fuzzy generalized bi-ideal; fuzzy bi-ideal; fuzzy interior ideal; fuzzy ideal and ordered ${\Gamma}$-semigroup;
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Times Cited By KSCI : 1  (Citation Analysis)
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