Aggregation of Partial T-Indistinguishability Operators

Tomasa Calvo, P. Fuster · 2019

We focus on the aggregation of partial Tindistinguishability operators.We provide a characterization of those functions that allow to merge a collection of partial Tindistinguishability 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 ) ni=1 of partial T iindistinguishability 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.

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