1993 Volume 5 Issue 3 Pages 528-536
Decision-making in real problems is done in a fuzzy environment. Thus, Fuzzy-Bayes decision rules have been proposed to cope with a fuzzy state of nature. These decision rules are based on the probability of fuzzy events or the possibility measure of fuzzy events. Furthermore, a decision rule based on fuzzy utility functions are constructed. In this paper we discuss a decision rule on possibility distributions of fuzzy events. The object of our study is the decision problem, in which the decision maker obtains the one-peak symmetric possibility distribution of a state of nature and the one-peak symmetric membership function of fuzzy events, by his knowledge and his belief. We propose two decision rules. First, we propose a decision rule based on the concept of the ordering of fuzzy numbers. Second, avoiding the large fuzziness by using extension principle, we propose a simple rule based on the representation interval of the possibility of fuzzy events and the representation value of fuzzy utility function. Furthermore, we construct the setting rule for fuzzy utility as the representation value of fuzzy utility function.
