Evaluations of fuzzy quantities
This paper deals with the problem of evaluating a fuzzy quantity. We call fuzzy quantity any non-normal and non-convex fuzzy set, defined as the union of two, or more, non-normal fuzzy numbers. In order to introduce either ranking or defuzzifing procedures, we propose a definition which arises from crisp set theory: it is based on a particular fuzzy number evaluation, weighted average value (WAV) that works on alpha-cuts levels and depends on two parameters, a real number A and an additive measure S; A is connected with the optimistic or pessimistic point of view of the decision maker, S allows the decision maker to choose evaluations in particular subsets of the fuzzy number support, according to his preference. (C) 2005 Elsevier B.V. All rights reserved.
fuzzy sets ranking defuzzification evaluation function