Remarks on Super-Additive and Sub-Additive Transformations of Aggregation Functions

Katarína Hriňáková; Adam Šeliga

doi:10.2478/tmmp-2018-0021

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Remarks on Super-Additive and Sub-Additive Transformations of Aggregation Functions

Tatra Mountains Mathematical Publications

Volume 72 (2018): Issue 1 (December 2018)

By: Katarína Hriňáková and Adam Šeliga

Open Access

|Mar 2019

Abstract

In this contribution we modify the definitions of the super-additive and sub-additive transformations of aggregation functions. Firstly, we define k-bounded transformations that represent only finite decompositions with at most k elements. Secondly, we introduce two other transformations that preserve the super-additivity property in some sense. Also, a remark on continuity of the classical super-additive transformation of an aggregation function is presented for one-dimensional case.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2018-0021 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 55 - 66

Submitted on: Oct 2, 2018

Published on: Mar 12, 2019

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

super-additive transformation,

aggregation function,

continuity

Related subjects:

Mathematics,

General mathematics

© 2019 Katarína Hriňáková, Adam Šeliga, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 72 (2018): Issue 1 (December 2018)