Publication:
Discrete IV dG-Choquet integrals with respect to admissible orders

Date

2021

Director

Publisher

Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/recolecta

Abstract

In this work, we introduce the notion of dG-Choquet integral, which generalizes the discrete Choquet integral replacing, in the first place, the difference between inputs represented by closed subintervals of the unit interval [0,1] by a dissimilarity function; and we also replace the sum by more general appropriate functions. We show that particular cases of dG-Choquet integral are both the discrete Choquet integral and the d-Choquet integral. We define interval-valued fuzzy measures and we show how they can be used with dG-Choquet integrals to define an interval-valued discrete Choquet integral which is monotone with respect to admissible orders. We finally study the validity of this interval-valued Choquet integral by means of an illustrative example in a classification problem. © 2021

Description

Keywords

Choquet integral, d-Choquet integral, Interval-valued dissimilarity function, Interval-valued fuzzy measure

Department

Estatistika, Informatika eta Matematika / Ingeniaritza Elektrikoa, Elektronikoaren eta Telekomunikazio Ingeniaritzaren / Institute of Smart Cities - ISC / Estadística, Informática y Matemáticas / Ingeniería Eléctrica, Electrónica y de Comunicación

Faculty/School

Degree

Doctorate program

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© 2021 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0

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