# The most representative utility function for non-additive robust ordinal regression

S. Angilella, Salvatore Greco, B. Matarazzo

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

## Abstract

Non-additive robust ordinal regression (NAROR) considers Choquet integral or one of its generalizations to represent preferences of a Decision Maker (DM). More precisely, NAROR takes into account all the fuzzy measures which are compatible with the preference information given by the DM and builds two preference relations: possible preference relation, when there is at least one compatible fuzzy measure for which an alternative is preferred to the other, and necessary preference relation, when an alternative is preferred to the other for all compatible fuzzy measures. Although it is interesting to take into consideration all the compatible fuzzy measures, in some decision problems we need to give a value to every alternative and it results necessary to obtain the most representative fuzzy measures among all the compatible ones. The aim of the paper is to propose an algorithm to the DM for selecting the most representative utility function expressed as Choquet integral from which a DM’s representation of preferences is obtained.
Original language English Computational intelligence for knowledge-based systems design: 13th international conference on information processing and management of uncertainty E. Hullermeier, R. Kruse, F. Hoffmann Berlin Springer 220-229 10 6178 6178 9783642140488 https://doi.org/10.1007/978-3-642-14049-5_23 Published - Jul 2010

### Publication series

Name Lecture notes in computer science Springer 6178 0302-9743