Dominance-based rough set approach to decision involving multiple decision makers

Authors:
Salvatore Greco;Benedetto Matarazzo;Roman Słowiński
Affiliations:
Faculty of Economics, University of Catania, Catania, Italy;Faculty of Economics, University of Catania, Catania, Italy;Institute of Computing Science, Poznań University of Technology, Poznań
Venue:
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Year:
2006

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Abstract

In this paper we present a rough set approach to decisions with multiple decision makers. Since preference order is a crucial feature of data concerning decision situations, and classical rough set approach is not able to deal with it, we are using Dominance-based Rough Set Approach (DRSA) where indiscernibility relation of the classical approach has been substituted by dominance relation. To deal with decision of multiple decision makers we extend DRSA by introducing specific concepts related to dominance with respect to minimal profiles of evaluations given by multiple decision makers. This extension provides also a general methodology for rough approximations of partial preorders.