Aggregation of Choquet Integrals

被引：1

作者：

Mesiar, Radko ^{[1
]}

Sipeky, Ladislav ^{[1
]}

Siposova, Alexandra ^{[1
]}

机构：

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

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, IPMU 2016, PT I | 2016年 / 610卷

关键词：

Aggregation function; Capacity; Choquet integral; OWA operator;

D O I：

10.1007/978-3-319-40596-4_6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Aggregation functions acting on the lattice of all Choquet integrals on a fixed measurable space (X, A) are discussed. The only direct aggregation of Choquet integrals resulting into a Choquet integral is linked to the convex sums, i.e., to the weighted arithmetic means. We introduce and discuss several other approaches, for example one based on compatible aggregation systems. For X finite, the related aggregation of OWA operators is obtained as a corollary. The only exception, with richer structure of aggregation functions, is the case card X = 2, when the lattice of all OWA operators forms a chain.

引用

页码：58 / 64

页数：7

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