Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules

Salvatore Greco, B. Matarazzo, R. Slowinski

Research output: Contribution to journalArticlepeer-review

Abstract

Utility or value functions play an important role of preference models in multiple-criteria decision making. We investigate the relationships between these models and the decision-rule preference model obtained from the Dominance-based Rough Set Approach. The relationships are established by means of special "cancellation properties" used in conjoint measurement as axioms for representation of aggregation procedures. We are considering a general utility function and three of its important special cases: associative operator, Sugeno integral and ordered weighted maximum. For each of these aggregation functions we give a representation theorem establishing equivalence between a very weak cancellation property, the specific utility function and a set of rough-set decision rules. Each result is illustrated by a simple example of multiple-criteria decision making. The results show that the decision rule model we propose has clear advantages over a general utility function and its particular cases.
Original languageEnglish
Pages (from-to)271-292
Number of pages22
JournalEuropean Journal of Operational Research
Volume158
Issue number2
DOIs
Publication statusPublished - 16 Oct 2004

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