Entropy of discrete fuzzy measures

被引：25

作者：

Marichal, JL ^{[1
]}

Roubens, M ^{[1
]}

机构：

[1] Univ Liege, Inst Math, B-4000 Liege, Belgium

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2000年 / 8卷 / 06期

关键词：

entropy; fuzzy measure; aggregation; uncertain variable; Choquet and Sugeno integrals; ordinal fuzzy measure;

D O I：

10.1142/S0218488500000460

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory.

引用

页码：625 / 640

页数：16

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