Convolution of Decomposition Integrals

被引：1

作者：

Seliga, Adam ^{[1
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia

来源：

MATHEMATICS | 2022年 / 10卷 / 05期

关键词：

convolution; collection integral; decomposition integral; aggregation functions; CHOQUET;

D O I：

10.3390/math10050747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Four different types of convolutions of aggregation functions (the upper, the lower, the super-, and the sub-convolution) are examined in the setting of both sub- and super-decomposition integrals defined on a finite space. Examples of the results of the paper are provided. As a by-product, the super-additive transformation of sub-decomposition integrals and the sub-additive transformation of super-decomposition integrals are fully characterized. Possible applications are indicated.

引用

页数：9

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