2026-04-29T04:09:09Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/232302024-11-29T00:18:06Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Gonzalez-Hedstrom, Juan-De-Dios
author
Minana, Juan-Jose
author
Valero, Oscar
2024-09-18T06:42:49Z
2024-09-18T06:42:49Z
2021-06
Gonzalez-Hedstrom JDD, Minana JJ, Valero O. Aggregation of Indistinguishability Fuzzy Relations Revisited. Mathematics. 2021 Jun;9(12):1441.
https://hdl.handle.net/20.500.13003/19429
https://hdl.handle.net/20.500.12105/23230
10.3390/math9121441
2227-7390
Mathematics
2-s2.0-85109045681
666234700001
Indistinguishability fuzzy relations were introduced with the aim of providing a fuzzy notion of equivalence relation. Many works have explored their relation to metrics, since they can be interpreted as a kind of measure of similarity and this is, in fact, a dual notion to dissimilarity. Moreover, the problem of how to construct new indistinguishability fuzzy relations by means of aggregation has been explored in the literature. In this paper, we provide new characterizations of those functions that allow us to merge a collection of indistinguishability fuzzy relations into a new one in terms of triangular triplets and, in addition, we explore the relationship between such functions and those that aggregate extended pseudo-metrics, which are the natural distances associated to indistinguishability fuzzy relations. Our new results extend some already known characterizations which involve only bounded pseudo-metrics. In addition, we provide a completely new description of those indistinguishability fuzzy relations that separate points, and we show that both differ a lot.
eng
Aggregation
Indistinguishability fuzzy relation
Extended pseudo-metric
Additive generator
Continuous Archimedean t-norm
Aggregation of Indistinguishability Fuzzy Relations Revisited
research article