Characterizing quasi-metric aggregation functions |
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Authors: | Juan-José Miñana Oscar Valero |
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Affiliation: | 1. Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, Palma, Spainjj.minana@uib.eshttps://orcid.org/0000-0001-9835-0700;3. Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, Palma, Spainhttps://orcid.org/0000-0003-4710-1338 |
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Abstract: | ABSTRACTIn this paper, we study those functions that allows us to combine a family of quasi-metrics, defined all of them on the same set, into a single one, which will be called quasi-metric aggregation functions. In particular, we characterize the quasi-metric aggregation functions and, in addition, we discuss a few of their properties. Moreover, a few methods to discard those functions that are useless as quasi-metric aggregation functions are introduced. Throughout the paper, different examples justify and illustrate the results presented. Finally, two possible fields where the developed theory can be useful are exposed. |
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Keywords: | Quasi-metric space aggregation subadditive function monotone function triangle triplet |
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