About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Varga, Štefan
Robust estimations in classical regression models versus robust estimations in fuzzy regression models. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 503-508
MSC: 62F10, 62F35, 62J02, 62J12, 62J99 | MR 2377928 | Zbl 1134.62012
Keywords:
fuzzy regression model; estimations; robust estimations; predictions
Summary:
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.
References:
[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 MR 0161415 | Zbl 0136.39805
[3] Huber P. J.: Robust Statistics. Wiley, New York 1981 MR 0606374
[4] Klir G. J., Yuan B.: Fuzzy Sets and Fuzzy Logic – Theory and Applications. Prentice Hall PTR, Upper Saddle River, NJ 1995 MR 1329731 | Zbl 0915.03001
[5] Rousseeuw P. J.: Least median of squares regression. J. Amer. Statist. Assoc. 79 (1984), 871–880 MR 0770281 | Zbl 0551.62049
[6] Šabo M.: On T-reverse of T-norms. Tatra Mt. Math. Pub. 12 (1997), 35–40 MR 1607131 | Zbl 0954.03060
[7] Varga Š.: Robust estimations in statistics. In: PRASTAN 1998, pp. 86–114
[8] Varga Š.: Robust estimations in fuzzy linear regression models. In: Quo Vadis Computational Intelligence, Physica–Verlag, Heidelberg 2000, pp. 239–246 MR 1861548
[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 Zbl 0982.62066
Partner of
EuDML logo