RT Journal Article
T1 Aggregation of indistinguishability operators.
A1 Bejines-López, Carlos
A1 Ardanza Trevijano, Sergio
A1 Chasco Ugarte, María Jesús
A1 Elorza, Jorge
K1 Conjuntos difusos
AB 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.
PB Elsevier
YR 2021
FD 2021-05-04
LK https://hdl.handle.net/10630/33332
UL https://hdl.handle.net/10630/33332
LA eng
NO Bejines, C., Ardanza-Trevijano, S., Chasco, M. J., & Elorza, J. (2022). Aggregation of indistinguishability operators. Fuzzy Sets and Systems, 446, 53–67.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026