The lower and upper possibilistic mean values of fuzzy numbers were introduced by Carlsson and Fullér. This paper introduces the concepts of lower possibilistic and upper possibilistic variances of fuzzy numbers. These concepts are consistent with the extension principle and with the well-known definition of variance in probability theory. We also define a crisp possibilistic variance which differs from the one given by Carisson and Fullér. Furthermore, we show that the lower and upper possibilistic variances of linear combination of fuzzy numbers can be computed in a similar manner as in probability theory.
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- On Possibilistic Variance of Fuzzy Numbers
- Springer Berlin Heidelberg