Abstract
The purpose of this paper is to study the different classes of ordered AG-groupoids by using fuzzy left (resp. right, interior) ideals. Particularly, we illustrate regular (resp. right regular, left regular, (2, 2)-regular, weakly regular and intra-regular) ordered AG-groupoids in terms of fuzzy left (resp. right, interior) ideals. In this regard, we show that in (regular, right regular, weakly regular) ordered AG-groupoids, the concept of fuzzy (interior, two-sided) ideals coincide. The concept of fuzzy (interior, two-sided) ideals coincide in ((2,2), left, intra-) regular ordered AG-groupoids with left identity. (C) 2020 The Authors. Published by IASE.