Extended dissimilarities and d-Choquet integral for fuzzy numbers

d -Choquet integrals were introduced as a class of functions that generalize the classical Choquet integral by replacing the difference with a dissimilarity. This paper faces the problem of computing d-Choquet integrals when the information is imprecise/vague and, more specifically, when it is model...

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Detalles Bibliográficos
Autores: García-Zamora, Diego, Roldán López de Hierro, Antonio Francisco, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/55819
Acceso en línea:https://hdl.handle.net/2454/55819
Access Level:acceso abierto
Palabra clave:Choquet integral
Fuzzy numbers
d-Choquet integral
Fuzzy dissimilarity
Descripción
Sumario:d -Choquet integrals were introduced as a class of functions that generalize the classical Choquet integral by replacing the difference with a dissimilarity. This paper faces the problem of computing d-Choquet integrals when the information is imprecise/vague and, more specifically, when it is modeled as fuzzy numbers. We also study the main properties of such an extension and analyze how the features of the considered dissimilarity and fuzzy measure impact the extended d -Choquet integral.