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A Comparative Analysis of Possibilistic Variances and Covariances of Fuzzy Numbers

Zhang W-G., Wang Y-L.

Fundamenta Informaticae

2007

Vol. 79, nr 1-2

257-263

In this paper, we introduce a new crisp possibilistic variance and a new crisp possibilistic covariance of fuzzy numbers, which are different from those introduced by Carlsson and Fullér. We show that the possibilistic variance and covariance preserve many properties of variance and covariance in probability theory. Furthermore, we investigate the relationship between several crisp possibilistic variances and covariances of fuzzy numbers.