AU - Mahboob, A. AU - Davvaz, B. AU - Khan, N. M. TI - Ordered Γ-Semigroups and Fuzzy Γ-ideals PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 16 VI - 2 IP - 2 4099 - http://ijmsi.ir/article-1-1295-en.html 4100 - http://ijmsi.ir/article-1-1295-en.pdf SO - IJMSI 2 AB  - 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. CP - IRAN IN - Department of Mathematics, Aligarh Muslim University, Aligarh, India LG - eng PB - IJMSI PG - 145 PT - Research paper YR - 2021