Robust Ordinal Regression for dominance-based Rough Set Approach under uncertainty

Roman Słowiński, Miłosz Kadziński, Salvatore Greco

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider decision under uncertainty where preference information provided by a Decision Maker (DM) is a classification of some reference acts, relatively well-known to the DM, described by outcomes to be gained with given probabilities. We structure the classification data using a variant of the Dominance-based Rough Set Approach. Then, we induce from this data all possible minimal-cover sets of rules which correspond to all instances of the preference model compatible with the input preference information. We apply these instances on a set of unseen acts, and draw robust conclusions about their quality using the Robust Ordinal Regression paradigm. Specifically, for each act we derive the necessary and possible assignments specifying the range of classes to which the act is assigned by all or at least one compatible set of rules, respectively, as well as class acceptability indices. The whole approach is illustrated by a didactic example.
Original languageEnglish
Title of host publicationRough sets and intelligent systems paradigms
Subtitle of host publicationSecond International Conference, RSEISP 2014, Held as Part of JRS 2014, Granada and Madrid, Spain, July 9-13, 2014. Proceedings
EditorsMarzena Kryszkiewicz, Chris Cornelis, Davide Ciucci, Jesús Medina-Moreno, Hiroshi Motoda, Zbigniew W. Raś
Place of PublicationSwitzerland
PublisherSpringer International Publishing
Pages77-87
Volume8537
ISBN (Print)978-3-319-08728-3
DOIs
Publication statusPublished - Jul 2014

Publication series

NameLecture Notes in Computer Science
Volume8537
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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