Fuzzy expected utility

Decision making under uncertainty requires not only measures of the uncertainty of situations that we try to recognize , but also an estimate of theimprecision from which they are determined. This imprecision can be the result either of a lack of exactness in the measure of the elements which are necessary to the determination of the states of nature or the purely subjective interpretation of these states. Through a subjective measure of the non-measurable imprecision, the purpose of the fuzzy expected utility, which is investigated, is to translate with a great accuracy the imprecise behaviour of the decision-maker in an uncertain world. Consequently we propose to introduce first the probability of a fuzzy subset, or fuzzy event, to the theory of fuzzy utility, also called "fuzzy stochastic utility"