Convolution of Decomposition Integrals

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...

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Bibliographic Details
Main Author: Šeliga, A. (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
Online Access:View Fulltext in Publisher
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001 10.3390-math10050747
008 220425s2022 CNT 000 0 und d
020 |a 22277390 (ISSN) 
245 1 0 |a Convolution of Decomposition Integrals 
260 0 |b MDPI  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3390/math10050747 
520 3 |a 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. © 2022 by the author. Licensee MDPI, Basel, Switzerland. 
650 0 4 |a aggregation functions 
650 0 4 |a collection integral 
650 0 4 |a convolution 
650 0 4 |a decomposition integral 
700 1 |a Šeliga, A.  |e author 
773 |t Mathematics