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The meaning and utility of three principles of uncertainty is discussed. These principles, which are referred to as a principle of minimum uncertainty, a principle of maximum uncertainty, and a principle of uncertainty invariance, depend on the theory in which uncertainty is conceptualized. Due to a connection between uncertainty and information, the principles may also be conceived as principles...
A formal analysis of probabilities, possibilities, and fuzzy sets is presented in this paper. A number of theorems proved show the above measures have equal representational power when their domains are infinite. However, for finite domains, it is proved that probabilities have a higher representational power than both possibilities and fuzzy sets. The cost of this increased power is high computational...
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