Possibility Theory in the Management of Chance Discovery

Introduction captured by our uncertainty calculi. Finally Cij is the The purpose this work is to discuss and investigate payoff to the decision maker if he selects alternative Ai the potential role of possibility theory [1-4] and other and V assumes the value Xj. One approach for non-standard uncertainty calculi, such as the Dempsterselecting the best alternative in this decision problem is Shafer theory [5, 6] of evidence, in the development of to calculate for each alternative a value Val(Ai) and then a framework for the management of chance discovery. select the alternative that has the largest of these Possibility theory provides a framework for the values. The formulation of this function Val(Ai) is representation and management of information about strongly dependent upon the type of information uncertain situations. It is closely related to fuzzy set assumed about the uncertain variable V. In the case theory. Possibility theory uses two dual measures, when we assume probabilistic uncertainty the generally called the possibility measure and certainty (necessity) accepted approach is to use the expected value. We note measure, to model available information about however this can be called into question as we did in uncertainty situations. As opposed to probability [7]. theory. where the probability measure is additive, the