Calvo Sánchez, TomasaFuster-Parra, Pilar2024-10-092024-10-092023Calvo Sánchez T, Fuster-Parra P. On S-generalized multidistances and their aggregation. Fuzzy Sets Syst. 2023 Sep;468:108635.0165-0114https://hdl.handle.net/20.500.13003/19382https://hdl.handle.net/20.500.12105/23733We introduce a new class of multidistances, they are called S-generalized multidistances, defined by means of a t-conorm S. The main properties of them are analyzed and some examples are given. We have also established some relations between a multidistance and an S-generalized multidistance through the additive generator of the t-conorm. In this context, we study how to combine a collection of (Sk)k=1)-generalized multidistances in order to obtain a new S-generalized multidistance. In addition, we prove that properties of the S-generalized multidistances are preserved through the aggregation process. Finally, we give some characterizations of the aggregation functions of a family of (Sk)k=1)-generalized multidistances based on another aggregation function and the additive generators of the involved t-conorms.enghttp://creativecommons.org/licenses/by-nc-nd/4.0/research articleAttribution-NonCommercial-NoDerivatives 4.0 Internacional46810863510.1016/j.fss.2023.108635Fuzzy Sets and Systemsopen access2-s2.0-851631947461034589900001