Hydrological applications of a model-based approach to fuzzy set membership functions

Chleboun, Jan; Runcziková, Judita

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 47-54

Abstract

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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.

How to cite

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Chleboun, Jan, and Runcziková, Judita. "Hydrological applications of a model-based approach to fuzzy set membership functions." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 47-54. <http://eudml.org/doc/294888>.

@inProceedings{Chleboun2019,
abstract = {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.},
author = {Chleboun, Jan, Runcziková, Judita},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {fuzzy set; membership function; uncertainty quantification},
location = {Prague},
pages = {47-54},
publisher = {Institute of Mathematics CAS},
title = {Hydrological applications of a model-based approach to fuzzy set membership functions},
url = {http://eudml.org/doc/294888},
year = {2019},
}

TY - CLSWK
AU - Chleboun, Jan
AU - Runcziková, Judita
TI - Hydrological applications of a model-based approach to fuzzy set membership functions
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 47
EP - 54
AB - 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.
KW - fuzzy set; membership function; uncertainty quantification
UR - http://eudml.org/doc/294888
ER -

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