Reasons for a careful design of fuzzy sets
Enric Trillas, Claudio Moraga · 2013
This paper is, basically, a reflection on modeling, starting by asking what happens when the meaning of a predicate P is interpreted by the membership function of a fuzzy set that, labeled P , is designed with the information available to the designer on the use of the predicate in the corresponding universe of discourse.In it, the modification of the meaning that P can suffer by its identification with the membership function of the fuzzy set, is analyzed and discussed.It is argued that what can be done for reaching a least possible modification of the meaning, is just a careful design of the membership function.This reflection is further continued at the level of linguistic variables, fuzzy if-then rules, and rule-based systems.It is concluded that as argued in the case of fuzzy sets, the involved operations in rules and systems should be at least carefully chosen, if not specially designed.