Remarks on super-additive and sub-additive transformations of aggregation functions

Year, pages: 2018, 55 - 66

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.

Hriňáková, K., Šeliga, A. 2018. Remarks on super-additive and sub-additive transformations of aggregation functions. In Tatra Mountains Mathematical Publications, vol. 72, no.2, pp. 55-66. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0021

Hriňáková, K., Šeliga, A. (2018). Remarks on super-additive and sub-additive transformations of aggregation functions. Tatra Mountains Mathematical Publications, 72(2), 55-66. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0021

Publisher: MU SAV