AN AXIOMATIC APPROACH TO RATIONAL DECISION MAKING IN A FUZZY ENVIRONMENT

An axiomatic approach to rational decision making under uncertainty is presented. The notion of fuzzy sets is used to the advantage that it is a convenient tool for unifying the axioms in various situations, such as statistical decision, group decision and decision problems in which several criteria of optimality are involved. The first theorem asserts that under these axioms the decision strategy can be either pessimistic, optimistic, or one of mixed type. The introduction of a stronger postulate restricts our choice to only the pessimistic type, which in effect is the minimax principle. Meanwhile, the intersection and union operations on fuzzy sets are deduced from the assumptions.