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FUZZY INTERIOR $\Gamma$-IDEALS IN ORDERED $\Gamma$-SEMIGROUPS  

Khan, Asghar (Department of Mathematics, COMSATS Institute of IT Abbottabad)
Mahmood, Tariq (Department of Mathematics, Govt. Post Graduate College Chakwal)
Ali, M. Irfan (Department of Mathematics, Islamabad Model Colleges)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1217-1225 More about this Journal
Abstract
In this paper we define fuzzy interior $\Gamma$-ideals in ordered $\Gamma$-semigroups. We prove that in regular(resp. intra-regular) ordered $\Gamma$-semigroups the concepts of fuzzy interior $\Gamma$-ideals and fuzzy $\Gamma$-ideals coincide. We prove that an ordered $\Gamma$-semigroup is fuzzy simple if and only if every fuzzy interior $\Gamma$-ideal is a constant function. We characterize intra-regular ordered $\Gamma$-semigroups in terms of interior (resp. fuzzy interior) $\Gamma$-ideals.
Keywords
Fuzzy subsets; interior $\Gamma$-ideals; fuzzy interior $\Gamma$-ideals; regular (resp. intra-regular) ordered $\Gamma$-semigroups; fuzzy left (resp. right) simple ordered $\Gamma$-semigroups;
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