%0 Journal Article %A Mahboob, A. %A Davvaz, B. %A Khan, N. M. %T Ordered Γ-Semigroups and Fuzzy Γ-ideals %J Iranian Journal of Mathematical Sciences and Informatics %V 16 %N 2 %U http://ijmsi.ir/article-1-1295-en.html %R 10.52547/ijmsi.16.2.129 %D 2021 %K Ordered Γ-semigroup, right weakly regular ordered Γ-semigroup, Fuzzy set, Fuzzy Γ-ideals., %X We prove that every fuzzy generalized bi-Γ-ideal and every fuzzy interior Γ-ideal in a right weakly regular ordered Γ-semigroup is a fuzzy Γ-ideal. We also show that every fuzzy generalized bi-Γ-ideal in a duo right weakly regular ordered Γ-semigroup is a fuzzy interior Γ-ideal. Then, by using fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals, left simple, right simple and simple ordered Γ-semigroups have been characterized. Finally we characterize right weakly regular ordered Γ-semigroup by its fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals. %> http://ijmsi.ir/article-1-1295-en.pdf %P 145-162 %& 145 %! %9 Research paper %L A-10-3388-1 %+ Madanapalle Institute of Technology & Science, Angallu, Madanapalle-517325, Andhra Pradesh, India %G eng %@ 1735-4463 %[ 2021