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...

Descripción completa

Detalles Bibliográficos
Autor: Alcantud, José Carlos R.
Tipo de recurso: informe técnico
Fecha de publicación:2025
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/166468
Acceso en línea:http://hdl.handle.net/10366/166468
Access Level:acceso abierto
Palabra clave:Choquet integral
d-Choquet integral
Aggregation function
Restricted dissimilarity
Property (P1)
1206.05 Ecuaciones Integrales
Descripción
Sumario:[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.