Abstract
In order to elaborate a theory of communication which could be useful for designing a great variety of real communication systems it is necessary to consider the superposition of two kinds of uncertainties: probabilistic and possibilistic. For example Zadeh's general formula for the entropy of fuzzy random events takes into account these two basic uncertainties. In this paper we consider Zadeh's entropy, structurally related with this quantity a weighted entropy of De Luca and Termini and also the genetic connection of these entropies with Shannon's entropy function.
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