1. Introduction Recall that a fuzzy equivalence relation in a nonempty set S is a fuzzy relation eq : S×S → [0,1] such that eq(x,x) = 1 (reflexive); eq(x,y) = eq(y,x) (symmetric) ; eq(x,y)≈eq(y,z) ≤ eq(x,z) (≈-transitive) where ≈ is a t-norm. Now, as observed by De Cock and Kerre in [3], this notion is not suitable to model approximate equality and therefore to solve paradoxes like the so calle...