Abstract
This appendix describes the expressions deduced for calculating the mean value and variance of fuzzy numbers presented by Carlsson and Fullér in [1]. These definitions are consistent with the extension principle and with the definitions of mean and variance in probability theory.
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References
Carlsson, Christer, Fullér, Robert: On Possibilistic Mean Value and Variance of Fuzzy Numbers. Fuzzy Sets and Systems 122, 315–326 (2001)
Goetschel, R., Voxman, W.: Elementary Fuzzy Calculus. Fuzzy Sets and Systems 18, 31–43 (1986)
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Lazo, J.G.L. (2009). Appendix E – Calculation of the Mean Value and Variance of Fuzzy Numbers. In: Pacheco, M.A.C., Vellasco, M.M.B.R. (eds) Intelligent Systems in Oil Field Development under Uncertainty. Studies in Computational Intelligence, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93000-6_12
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DOI: https://doi.org/10.1007/978-3-540-93000-6_12
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