| Title:
|
Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions (English) |
| Author:
|
Su, Yong |
| Author:
|
Mesiar, Radko |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2021 |
| Pages:
|
958-969 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Homogeneity, as one type of invariantness, means that an aggregation function is invariant with respect to multiplication by a constant, and quasi-homogeneity, as a relaxed version, reflects the original output as well as the constant. In this paper, we characterize all homogeneous/quasi-homogeneous $n$-ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous $n$-ary aggregation functions by aggregation of given ones. (English) |
| Keyword:
|
aggregation functions |
| Keyword:
|
invariantness |
| Keyword:
|
homogeneity |
| Keyword:
|
quasi-homogeneity |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07478649 |
| idMR:
|
MR4376870 |
| DOI:
|
10.14736/kyb-2021-6-0958 |
| . |
| Date available:
|
2022-02-04T08:45:05Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149350 |
| . |
| Reference:
|
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| . |
