TY - JOUR JF - IJMSI JO - IJMSI VL - 16 IS - 2 PY - 2021 Y1 - 2021/10/01 TI - Ordered Γ-Semigroups and Fuzzy Γ-ideals TT - N2 - 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. SP - 145 EP - 162 AU - Mahboob, A. AU - Davvaz, B. AU - Khan, N. M. AD - Madanapalle Institute of Technology & Science, Angallu, Madanapalle-517325, Andhra Pradesh, India KW - Ordered Γ-semigroup KW - right weakly regular ordered Γ-semigroup KW - Fuzzy set KW - Fuzzy Γ-ideals. UR - http://ijmsi.ir/article-1-1295-en.html DO - 10.52547/ijmsi.16.2.129 ER -