Aggregation of Indistinguishability Fuzzy Relations Revisited

Indistinguishability fuzzy relations were introduced with the aim of providing a notion equivalence relation. Many works have explored their relation to metrics, since they can be interpreted as kind measure similarity and this is, in fact, dual dissimilarity. Moreover, problem how construct new indistinguishability by means aggregation has been literature. In paper, we provide characterizations those functions that allow us merge collection into one terms triangular triplets and, addition, explore relationship between such aggregate extended pseudo-metrics, which are natural distances associated relations. Our results extend some already known involve only bounded pseudo-metrics. completely description separate points, show both differ lot.