d-Choquet integrals: Choquet integrals based on dissimilarities
Date
2020Author
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/1PE/TIN2016-77356-P
Impact
Abstract
The paper introduces a new class of functions from [0,1]n 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 ...
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Subject
Choquet integral,
d-Choquet integral,
Dissimilarity,
Pre-aggregation function,
Aggregation function,
Monotonicity,
Directional monotonicity
Publisher
Elsevier
Published in
Fuzzy Sets and Systems, 2020
Departament
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Publisher version
Sponsorship
This work was supported in part by the Spanish Ministry of Science and Technology under project TIN2016-77356-P (AEI/FEDER, UE), by the Public University of Navarra under project PJUPNA13 and by grant VEGA 1/0614/18 . Z. Takáč was supported by the project VEGA 1/0545/20. R. Mesiar was supported by the project of Grant Agency of the Czech Republic (GACR) no. 18-06915S and by the Slovak grant APVV-17-0066 . G.P. Dimuro was supported by Brazilian agency CNPq under the grant 301618/2019-4 and FAPERGS (Proc. 19/2551-0001660 ). B. Bedregal was supported by Brazilian agency CNPq under the grant 307781/2016-0 and Caixa y Fundación Caja Navarra.
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Except where otherwise noted, this item's license is described as © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
