Super- and sub-additive transformations of aggregation functions from the point of view of approximation

Document Type: Research Paper

Authors

1 Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman

2 Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Radlinskeho 11, 810 05 Bratislava, Slovakia

10.22111/ijfs.2020.5348

Abstract

The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infima taken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hard to determine in general. In this note we discuss methods of algorithmic approximation of such transformations.

Keywords