A note on “d-Choquet integrals: Choquet integrals based on dissimilarities”

[EN] The d-Choquet integral extends the classical Choquet integral by substituting the difference operator with a restricted dissimilarity function. Bustince et al. introduced Property (P1) in 2021 to ensure the boundedness of this generalized integral within the unit interval. In this note, we emph...

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Bibliographic Details
Author: Alcantud, José Carlos R.
Format: report
Publication Date:2025
Country:España
Institution:Universidad de Salamanca (USAL)
Repository:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/166468
Online Access:http://hdl.handle.net/10366/166468
Access Level:Open access
Keyword:Choquet integral
d-Choquet integral
Aggregation function
Restricted dissimilarity
Property (P1)
1206.05 Ecuaciones Integrales
Description
Summary:[EN] The d-Choquet integral extends the classical Choquet integral by substituting the difference operator with a restricted dissimilarity function. Bustince et al. introduced Property (P1) in 2021 to ensure the boundedness of this generalized integral within the unit interval. In this note, we emphasize the necessity of revising this property. Such a revision is crucial for maintaining the formal accuracy of the theoretical framework for d-Choquet integrals.