ALTERNATIVE DEFINITIONS OF CONDITIONAL POSSIBILISTIC MEASURES

The aim of this paper is to survey and discuss, very briefly, some way s how to introduce, within the framework of possibilistic measures, a notion analogous to that of conditional probability measure in probabi lity theory. The adjective ''analogous'' in the last sentence is to me an that the conditional possibilistic measures should play the role of a mathematical tool to actualize one's degrees of beliefs expressed b y an a priori possibilistic measure, having obtained some further info rmation concerning the decision problem under uncertainty in question. The properties and qualities of various approaches to conditionalizin g can be estimated from various points of view. Here we apply the idea according to which the properties of independence relations defined b y particular conditional possibilistic measures are confronted with th ose satisfied by the relation of statistical (or stochastical) indepen dence descending from the notion of conditional probability measure. F or the reader's convenience the notions of conditional probability and statistical independence are recalled in the introductory chapter.