Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
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The main objective of this note is to try to indicate that a possibility distribution at least in some applications can be interpreted as a family of probabilities (possibly subjective). An advantage of the latter interpretation is that subsequent derivations can be made by well proven probabilistic arguments rather than relying on an intuition concerning the properties of possibility distributions which is not well developed. Multistate reliability theory is given as an example of an area of application where the probabilistic approach seems far superior.