Journal
FUZZY SETS AND SYSTEMS
Volume 122, Issue 2, Pages 315-326Publisher
ELSEVIER
DOI: 10.1016/S0165-0114(00)00043-9
Keywords
fuzzy numbers; possibility theory
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Dubois and Prade introduced the mean value of a fuzzy number as a closed interval bounded by the expectations calculated from its upper and lower distribution functions. In this paper introducing the notations of lower possibilistic and upper possibilistic mean values we define the interval-valued possibilistic mean and investigate its relationship to the interval-valued probabilistic mean. We also introduce the notation of crisp possibilistic mean value and crisp possibilistic variance of continuous possibility distributions, which are consistent with the extension principle. We also show that the variance of linear combination of fuzzy numbers can be computed in a similar manner as in probability theory. (C) 2001 Elsevier Science B.V. All rights reserved.
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