On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation

In this paper, we prove that, on the one hand, a duality relationship between different types of modular T-transitive relations and the reciprocal modular generalized metrics exists and, on the other hand, that, based on this duality, a construction of functions that aggregate modular T-transitive relations can be made from functions aggregating generalized metrics. Furthermore, we provide a guide for the families of that type of functions that can be used for the aforementioned purpose. Finally, illustrative examples of how to create such functions via the duality are given.