1994 Volume 2 Issue 3 Pages 39-49
This paper discusses the Bayesian decision-making problem associated with the entropy of the elements in fuzzy states, considering the states constructed in fuzzy events. The fuzzy decision-making problem deals simultaneously with both fuzziness and randomness by decision theory. The entropy of the elements in fuzzy states is defined to solve the decision-making problem with fuzzy states. By applying the entropy of the elements in fuzzy states, the relationships between randomness and fuzziness are analyzed.
The error discrimination probability in fuzzy states doesn't converge to zero owing to fuzziness, if we let observation times of information infinity. And then we defined the difference D(X(t)) which applied the entropy of the elements in fuzzy states unlike before and obtained new instruction on the observation times of information.
