@ARTICLE { Rsds3665,
author = {Slowinski, Roman and Matarazzo, Benedetto and Greco, Salvatore}, 
title = {Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules}, 
journal = {European Journal of Operational Research}, 
number = 	{(no. 2)}, 
volume = 158, 
pages = {271-292}, 
publisher = {Elsevier Science Inc.}, 
address = {Amsterdam, The Netherlands}, 
month = {October}, 
year = 2004, 
issn = {0377-2217}, 
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.}, 
keywords = {multiple-criteria decision making, preference modeling, utility function, conjoint measurement, decision rules, axiomatization, }, 
}