On the Expected Value of Fuzzy Events

被引：8

作者：

Klement, Erich Peter ^{[1
,2
]}

Mesiar, Radko ^{[3
,4
]}

机构：

[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria

[2] JKU Softwarepk Hagenberg, A-4232 Hagenberg, Austria

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava 81005, Slovakia

[4] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2015年 / 23卷

关键词：

Expected value; fuzzy event; capacity; Choquet integral; Sugeno integral; universal integral; PROBABILITY-MEASURES; TRIANGULAR NORMS; SIGMA-ALGEBRAS; INTEGRALS; REPRESENTATION; ADDITIVITY; CHOQUET;

D O I：

10.1142/S021848851540005X

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Generalizing a first approach by L. A. Zadeh (J. Math. Anal. Appl. 23, 1968), expected values of fuzzy events are studied which are (up to standard boundary conditions) only required to be monotone. They can be seen as an extension of capacities, i.e., monotone set functions satisfying standard boundary conditions. Some of these expected values can be characterized axiomatically, others are based on some distinguished integrals (Choquet, Sugeno, Shilkret, universal, and decomposition integral).

引用

页码：57 / 74

页数：18

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