AMBIGUITY BASED ON THE CONCEPT OF SUBJECTIVE ENTROPY.

A new approach, called probabilistic set theory, has been suggested for visualizing the problems of ambiguity and subjectivity. A notion of subjective entropy of probabilistic sets is proposed, and the mutual relationship of probability, fuzzy and entropy is investigated. The following are shown: 1) The subjective entropy can be expressed by using both membership function (of fuzzy sets) and probability. 2) The notion of subjective entropy has more information than that of membership function of classical fuzzy theory. 3) The concept of subjective entropy and that of vagueness function (of extended fuzzy expression) are independent; hence the notion of subjective entropy is properly included in that of probabilistic sets. Several applications of subjective entropy are also discussed.