Mean value and variance of fuzzy numbers with non-continuous membership functions. (English) Zbl 1422.62011
Ferraro, Maria Brigida (ed.) et al., Soft methods for data science. Selected papers based on the presentations at the 8th international conference on soft methods in probability and statistics, SMPS 2016, Rome, Italy, September 12–14, 2016. Cham: Springer. Adv. Intell. Syst. Comput. 456, 1-8 (2017).
Summary: 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.
For the entire collection see [Zbl 1355.62005].
For the entire collection see [Zbl 1355.62005].
MSC:
| 62-07 | Data analysis (statistics) (MSC2010) |
| 62B86 | Statistical aspects of fuzziness, sufficiency, and information |
| 62F86 | Parametric inference and fuzziness |
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