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A probabilistic interpretation of the degree of fuzziness
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper we give a probabilistic interpretation for the function d(f), which has been proposed as a measure of fuzziness of a fuzzy set f. For this we construct random patterns which approximate the fuzzy set f and show that, for large n, the number of possible outcomes of the nth random pattern is approximately 2nd(f). We also give the best possible constant K in a more accurate approximation .
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- Research Article
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- Copyright © Applied Probability Trust 1994
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