Discrete IV d(G)-Choquet integrals with respect to admissible orders

Takac Zdenko; Uriz Mikel; Galar MikelPaternain DanielBustince Humberto

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Discrete IV d(G)-Choquet integrals with respect to admissible orders

机译：Discrete IV d(G)-Choquet integrals with respect to admissible orders

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In this work, we introduce the notion of d(G)-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 d(G)-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 d(G)-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. (C) 2021 Published by Elsevier B.V.

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《Fuzzy sets and systems》 |2022年第5期|169-195|共27页
作者
Takac Zdenko; Uriz Mikel; Galar MikelPaternain DanielBustince Humberto;
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作者单位

Slovak Univ Technol Bratislava;

Univ Publ Navarra;

Univ Publ Navarra||Univ Publ Navarra;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Choquet integral; Interval-valued dissimilarity function; Interval-valued fuzzy measure; d-Choquet integral;

Discrete IV d(G)-Choquet integrals with respect to admissible orders

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