Generalized decomposition integral
Fecha
2020Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
ES/1PE/TIN2016-77356-P
Impacto
|
10.1016/j.ins.2020.05.081
Resumen
In this paper we propose two different generalizations of the decomposition integral introduced by Even and Lehrer. We modify the product operator merging a given capacity and the decomposition coefficients by some more general functions F and G and compare properties of the obtained functionals with properties of the original decomposition integral. Generalized decomposition integrals correspond ...
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In this paper we propose two different generalizations of the decomposition integral introduced by Even and Lehrer. We modify the product operator merging a given capacity and the decomposition coefficients by some more general functions F and G and compare properties of the obtained functionals with properties of the original decomposition integral. Generalized decomposition integrals corresponding to the particular decomposition systems, being generalizations of Shilkret, Choquet and concave integrals, are studied and exemplified. [--]
Materias
Decomposition integral,
Capacity,
Choquet integral,
Shilkret integral
Editor
Elsevier
Publicado en
Information Sciences, 2020, 538, 415-427
Departamento
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
Versión del editor
Entidades Financiadoras
The support of the grants VEGA 1/0614/18, VEGA 1/0545/20 and TIN2016-77356-P (AEI/FEDER,UE) is kindly acknowledged. R. Mesiar was partially supported by the project: 002STU-2-1/2018-PV entitled 'STU as a leader of the Digital coalition' by the Ministry of Education, Science, Research and Sport of the Slovak Republic. He was also supported by the project of the Grant Agency of the Czech Republic (GACˇR), No. 18-06915S.