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oai:riuma.uma.es:10630/333322026-02-03T10:57:02Zcom_10630_2254col_10630_37953

Bejines-López, Carlos Ardanza Trevijano, Sergio Chasco Ugarte, María Jesús Elorza, Jorge 2024-09-26T05:47:19Z 2024-09-26T05:47:19Z 2021-05-04 Bejines, C., Ardanza-Trevijano, S., Chasco, M. J., & Elorza, J. (2022). Aggregation of indistinguishability operators. Fuzzy Sets and Systems, 446, 53–67. https://hdl.handle.net/10630/33332 10.1016/j.fss.2021.04.023 The paper studies the aggregation of pairs of T-indistinguishability operators. More concretely we address the question whether is a T-indistinguishability operator if are T-indistinguishability operators. The answer depends on the aggregation function, the t-norm T, and the chosen T-indistinguishability operators. It is well-known that an aggregation function preserves T-transitive relations if and only if it dominates the t-norm T. We show the important role of the minimum t-norm in this preservation problem. In particular we develop weaker forms of domination that are used to provide characterizations of -indistinguishability preservation under aggregation. We also prove that the existence of a single strictly monotone aggregation that satisfies the indistinguishability operator preservation property guarantees all aggregations to have the same preservation property. eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Conjuntos difusos Aggregation of indistinguishability operators. journal article