Abstract
We prove that fuzzy generalized bi-Gamma-ideal and fuzzy interior Gamma-ideal in a right weakly regular ordered Gamma-semigroup are fuzzy Gamma-ideal. We also show that every fuzzy generalized bi-Gamma-ideal in a duo right weakly regular ordered Gamma-semigroup is a fuzzy interior Gamma-ideal. Then, by using fuzzy Gamma-ideals, fuzzy bi-Gamma-ideals, fuzzy generalized bi-Gamma-ideals and fuzzy interior Gamma-ideals, left simple, right simple and simple ordered Gamma-semigroups have been characterized. Finally, we characterize right weakly regular ordered Gamma-semigroups by its fuzzy Gamma-ideals, fuzzy bi-Gamma-ideals, fuzzy generalized bi-Gamma-ideals and fuzzy interior Gamma-ideals.