Representation and construction of homogeneous and quasi-homogeneous n-ary aggregation functions

Title:

Representation and construction of homogeneous and quasi-homogeneous n-ary aggregation functions

Creator:

Su, Yong and Mesiar, Radko

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8bc83e60-35ec-4cc0-8bec-222f846ab990
uuid:8bc83e60-35ec-4cc0-8bec-222f846ab990
doi:10.14736/kyb-2021-6-0958

Subject:

homogeneity, aggregation functions, quasi-homogeneity, and invariantness

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

958-969

Source:

Kybernetika | 2021 Volume:57 | Number:6

Harvested from:

CDK

Metadata only:

false