Mean value and variance of fuzzy numbers with non-continuous membership functions

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Abstract

We propose a definition of mean value and variance for fuzzy numbers whose membership functions are upper-semicontinuous but are not necessarily continuous. Our proposal uses the total variation of bounded variation functions.

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Anzilli, L., & Facchinetti, G. (2017). Mean value and variance of fuzzy numbers with non-continuous membership functions. In Advances in Intelligent Systems and Computing (Vol. 456, pp. 1–8). Springer Verlag. https://doi.org/10.1007/978-3-319-42972-4_1

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