Updating Parameters with Fuzzy Entropies
Publication: Journal of Engineering Mechanics
Volume 109, Issue 6
Abstract
The uncertainty of a continuous variable is estimated by the combination of the objective entropy, which is obtained from the statistics of a countable population, and the fuzzy entropy, which is a measure of imprecision estimated from an engineer's experience and knowledge. This is illustrated by using subjective, imprecise, fuzzy information to update the objective parameters of an initial truncated normal distribution by means of combining Shannon's objective information entropy and fuzzy entropies. The entropies are treated as information measures of uncertainty of both the objective and subjective kinds. Three fuzzy entropy functions are presented and their effects on the altered parameters illustrated.
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References
1.
Brown, C. B., “Entropy Constructed Probabilities,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM4, Proc. Paper 15635, Aug., 1980, pp. 633–640.
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DeLuca, A., and Termini, S., “A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory,” Information and Control, Vol. 20, 1972, pp. 301–312.
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Munro, J., “Uncertainty and Fuzziness in Engineering Decision-Making,” Proceedings of the First Canadian Seminar on Systems Theory for the Civil Engineer, Calgary, Alberta, Canada, Oct., 1979, pp. 18–19.
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Shannon, C. E., “The Mathematical Theory of Communication,” University of Illinois Press, Urbana, Illinois, 1949.
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Zadeh, L. A., “Fuzzy Sets,” Information and Control, Vol. 8, 1965.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 109 • Issue 6 • December 1983
Pages: 1334 - 1343
Copyright
Copyright © 1983 ASCE.
History
Published online: Dec 1, 1983
Published in print: Dec 1983
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