On Possibilistic Mean Value and Variance of Fuzzy Numbers

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 and mean values we definine the and investigate its relationship to the intervalvalued probabilistic mean. We also introduce the notation of and 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