Robust estimations in classical regression models versus robust estimations in fuzzy regression models

Štefan Varga

Kybernetika (2007)

  • Volume: 43, Issue: 4, page 503-508
  • ISSN: 0023-5954

Abstract

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In this paper are presented two robust estimators of unknown fuzzy parameters in the fuzzy regression model and investigated the relationship between these robust estimators in the classical regression model and in the fuzzy regression model.

How to cite

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Varga, Štefan. "Robust estimations in classical regression models versus robust estimations in fuzzy regression models." Kybernetika 43.4 (2007): 503-508. <http://eudml.org/doc/33875>.

@article{Varga2007,
abstract = {In this paper are presented two robust estimators of unknown fuzzy parameters in the fuzzy regression model and investigated the relationship between these robust estimators in the classical regression model and in the fuzzy regression model.},
author = {Varga, Štefan},
journal = {Kybernetika},
keywords = {fuzzy regression model; estimations; robust estimations; predictions; predictions},
language = {eng},
number = {4},
pages = {503-508},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust estimations in classical regression models versus robust estimations in fuzzy regression models},
url = {http://eudml.org/doc/33875},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Varga, Štefan
TI - Robust estimations in classical regression models versus robust estimations in fuzzy regression models
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 4
SP - 503
EP - 508
AB - In this paper are presented two robust estimators of unknown fuzzy parameters in the fuzzy regression model and investigated the relationship between these robust estimators in the classical regression model and in the fuzzy regression model.
LA - eng
KW - fuzzy regression model; estimations; robust estimations; predictions; predictions
UR - http://eudml.org/doc/33875
ER -

References

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  1. Bárdossy A., Duckstein L., Fuzzy Rule? Based Modeling with Applications to Geophysical, Biological and Engrg, Systems. CRC Press, Boca Raton 1995 
  2. Huber P. J., Robust estimation of a location parameter, Ann. Math. Statist. 35 (1964), 73–101 (1964) Zbl0136.39805MR0161415
  3. Huber P. J., Robust Statistics, Wiley, New York 1981 MR0606374
  4. Klir G. J., Yuan B., Fuzzy Sets and Fuzzy Logic – Theory and Applications, Prentice Hall PTR, Upper Saddle River, NJ 1995 Zbl0915.03001MR1329731
  5. Rousseeuw P. J., Least median of squares regression, J. Amer. Statist. Assoc. 79 (1984), 871–880 (1984) Zbl0551.62049MR0770281
  6. Šabo M., On T-reverse of T-norms, Tatra Mt. Math. Pub. 12 (1997), 35–40 (1997) Zbl0954.03060MR1607131
  7. Varga Š., Robust estimations in statistics, In: PRASTAN 1998, pp. 86–114 (1998) 
  8. Varga Š., Robust estimations in fuzzy linear regression models, In: Quo Vadis Computational Intelligence, Physica–Verlag, Heidelberg 2000, pp. 239–246 MR1861548
  9. Varga Š., Šabo M., Linear regression with fuzzy variables, In: The State of the Art in Computational Intelligence. Physica–Verlag, Heidelberg 2000, pp. 99–103 Zbl0982.62066

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