Abstract
Let X be a variable taking its values on a finite set U. If we have a fuzzy information about these values, then we may represent this information by means of a possibility distribution; but there are some cases in which we need a probability distribution. The aim of this paper is to provide methods to construct such probability distribution. The link between these two kinds of informations, possibilistic and probabilistic, is given by the concept of possibility-probability consistency. The maximum entropy principle is used, being obtained a fuzzy mathematical programming problem, that is solved in several examples.
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© 1986 D. Reidel Publishing Company
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Moral, S. (1986). Construction of a Probability Distribution from a Fuzzy Information. In: Jones, A., Kaufmann, A., Zimmermann, HJ. (eds) Fuzzy Sets Theory and Applications. NATO ASI Series, vol 177. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4682-8_3
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DOI: https://doi.org/10.1007/978-94-009-4682-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8581-6
Online ISBN: 978-94-009-4682-8
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