Probabilities, Possibilities, and Fuzzy Sets

Reference: Drakopoulos, J. A. Probabilities, Possibilities, and Fuzzy Sets. Knowledge Systems Laboratory, May, 1994.

Abstract: A formal analysis of probabilities, possibilities, and fuzzy sets is presented in this paper. A number of theorems proved show that probabilities carry more information per bit than both possibilities and fuzzy sets. The cost of this higher capacity is increased computational complexity and reduced computational efficiency. The resulting trade-off of high complexity and information capacity versus computational efficiency is discussed under the spectrum of experimental systems and applications.

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