@ARTICLE{Mahboob, author = {Mahboob, A. and Davvaz, B. and Khan, N. M. and }, title = {Ordered Γ-Semigroups and Fuzzy Γ-ideals}, volume = {16}, number = {2}, abstract ={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. }, URL = {http://ijmsi.ir/article-1-1295-en.html}, eprint = {http://ijmsi.ir/article-1-1295-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {10.52547/ijmsi.16.2.129}, year = {2021} }