Aggregation of Partial T-Indistinguishability Operators

We focus on the aggregation of partial T-indistinguishability operators. We provide a characterization of those functions that allow to merge a collection of partial T-indistinguishability operators into a new one in terms of (+, max)-tuples. Moreover, we see that this is equivalent to the characterization by means of (T, T-M)-tuples given by Calvo et al. in [8]. Also, we analyze the aggregation of a collection (E-i)(n)(i=1) of partial T-i-indistinguishability operators. Moreover, we show that a generalized inter-exchange composition function condition is a sufficient condition to guarantee that a function merges partial T-i-indistinguishability operators into a single one. Finally, we give different expressions of those aggregation functions defined by means of the additive generators of the corresponding t-norms and another specific function.