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Title: Hydrological applications of a model-based approach to fuzzy set membership functions (English)
Author: Chleboun, Jan
Author: Runcziková, Judita
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 47-54
Category: math
Summary: Since the common approach to defining membership functions of fuzzy numbers is rather subjective, another, more objective method is proposed. It is applicable in situations where two models, say $M_1$ and $M_2$, share the same uncertain input parameter $p$. Model $M_1$ is used to assess the fuzziness of $p$, whereas the goal is to assess the fuzziness of the $p$-dependent output of model $M_2$. Simple examples are presented to illustrate the proposed approach. (English)
Keyword: fuzzy set
Keyword: membership function
Keyword: uncertainty quantification
MSC: 03E72
MSC: 03E75
DOI: 10.21136/panm.2018.05
Date available: 2019-04-29T13:35:34Z
Last updated: 2021-05-05
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