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Bustince, H.; Mesiar, R.; Fernandez, J.; Galar, M.; Paternain, D.; Altalhi, A.; Dimuro, G.P.; Bedregal, B.; Takáč, Z.
Fuzzy sets and systems, 07/2021, Letnik: 414Journal Article
The paper introduces a new class of functions from 0,1n to 0,n called d-Choquet integrals. These functions are a generalization of the “standard” Choquet integral obtained by replacing the difference in the definition of the usual Choquet integral by a dissimilarity function. In particular, the class of all d-Choquet integrals encompasses the class of all “standard” Choquet integrals but the use of dissimilarities provides higher flexibility and generality. We show that some d-Choquet integrals are aggregation/pre-aggregation/averaging/functions and some of them are not. The conditions under which this happens are stated and other properties of the d-Choquet integrals are studied.
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