Maps between indistinguishability operators

In this paper, we study the morphisms between indistinguishability operators. Among all possible types of morphisms between indistinguishability operators, we focus on the following two special cases: (a) the maps in the unit interval changing a T-indistinguishability operator into another one with respect to the same t-norm T, where T is an Archimedean t-norm or the t-norm minimum; and (b) the maps between indistinguishability operators with respect to isomorphic t-norms. As a bonus, in some examples, we recover some well-known families of continuous t-norms.