Publication Date
6-1-2021
Abstract
In many practical situations, users describe their preferences in imprecise (fuzzy) terms. In such situations, fuzzy techniques are a natural way to describe these preferences in precise terms.
Of course, this description is only an approximation to the ideal decision making that a person would perform if we took time to elicit his/her exact preferences. How accurate is this approximation? When can fuzzy decision making -- potentially -- describe the exact decision making, and when there is a limit to the accuracy of fuzzy approximations?
In this paper, we show that decision making can be precisely described in fuzzy terms if and only if different numerical characteristics describing the alternatives are independent -- in the sense that if for two alternatives, all but one characteristics have the same value, then the preference between these two alternatives depends only on the differing characteristic and does not depend on the values of all other characteristics.
Original file
Comments
Technical Report: UTEP-CS-21-27a
Published in Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP),Bratislava, Slovakia, September 19-24, 2021,, Atlantis Press, Dordrecht, the Netherlands, pp. 282-289.