RT - Journal Article T1 - Ordered Γ-Semigroups and Fuzzy Γ-ideals JF - IJMSI YR - 2021 JO - IJMSI VO - 16 IS - 2 UR - http://ijmsi.ir/article-1-1295-en.html SP - 145 EP - 162 K1 - Ordered Γ-semigroup K1 - right weakly regular ordered Γ-semigroup K1 - Fuzzy set K1 - Fuzzy Γ-ideals. 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. LA eng UL http://ijmsi.ir/article-1-1295-en.html M3 10.52547/ijmsi.16.2.129 ER -