The interval-valued Choquet integral based on admissible permutations

Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been given to solve this problem, but they need certain parameters to be set. In ord...

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Detalles Bibliográficos
Autores: Paternain Dallo, Daniel, Miguel Turullols, Laura de, Ochoa Lezaun, Gustavo, Lizasoain Iriso, María Inmaculada, Mesiar, Radko, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
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:2454/35275
Acceso en línea:https://hdl.handle.net/2454/35275
Access Level:acceso abierto
Palabra clave:Admissible order
Admissible permutation
Choquet integral
Information fusion
Interval-valued Choquet integral
Descripción
Sumario:Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been given to solve this problem, but they need certain parameters to be set. In order to solve this problem, in this work we propose the concept of an admissible permutation of intervals. Based on this concept, which avoids any parameter selection, we propose a new approach for the interval-valued Choquet integral that takes into account every possible permutation fitting to the considered ordinal structure of data. Finally, a consensus among all the permutations is constructed.