Identifier to cite or link to this item: https://hdl.handle.net/20.500.13003/19382
On S-generalized multidistances and their aggregation
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CitationCalvo Sánchez T, Fuster-Parra P. On S-generalized multidistances and their aggregation. Fuzzy Sets Syst. 2023 Sep;468:108635.
We 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 ()-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 ()-generalized multidistances based on another aggregation function and the additive generators of the involved t-conorms.