Some useful procedures towards consistent preference modeling

Abstract

Decision making based upon valued preference relations is assuming that each decision maker is able to consistently manage intensity values for preferences, but this is indeed a di±cult task, even when dealing with few alternatives. Representation tools will therefore play a key role in order to help decision makers to understand their preference structure. This paper introduces a particular representation based upon classical crisp dimension theory,addressing some associated computational complexity problems, which will hopefully be useful within a valued framework.