On fuzzy fully regular ordered $\mathcal{AG}$ -groupoids

We have introduced and characterized a fully regular (V-regular) class of an ordered $\mathcal{AG}$ -groupoid in terms of fuzzy (left, right, two-sided, interior, bi-, generalized bi- and quasi) ideals. We have shown that all these fuzzy ideals need not to be coincide in an ordered $\mathcal{AG}$ -groupoid $\mathcal{S}$ even if $\mathcal{S}$ has a left identity but on the other hand, it has been shown that all these fuzzy ideals coincide in a V-regular ordered $\mathcal{AG}$ -groupoid with a left identity.