Description
Some properties concerning the structure of the F-indistinguishability operators are analyzed. It is shown that any of such operators is generated by a family of fuzzy subsets. This result, since it gives the way to construct F-indistinguishabilities, facilitates new applications of fuzzy relations. The links between F-indistinguishability operators and a kind of generalized metrics in the unit interval -- which are also explored -- are used to define the canonical generators of a F-indistinguishability operator that is, the fuzzy partition associated with the operator.