Robust estimations in classical regression models versus robust estimations in fuzzy regression models
Kybernetika, Tome 43 (2007) no. 4, pp. 503-508 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 62F10, 62F35, 62J02, 62J12, 62J99
Keywords: fuzzy regression model; estimations; robust estimations; predictions
@article{KYB_2007_43_4_a10,
     author = {Varga, \v{S}tefan},
     title = {Robust estimations in classical regression models versus robust estimations in fuzzy regression models},
     journal = {Kybernetika},
     pages = {503--508},
     year = {2007},
     volume = {43},
     number = {4},
     mrnumber = {2377928},
     zbl = {1134.62012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007_43_4_a10/}
}
TY  - JOUR
AU  - Varga, Štefan
TI  - Robust estimations in classical regression models versus robust estimations in fuzzy regression models
JO  - Kybernetika
PY  - 2007
SP  - 503
EP  - 508
VL  - 43
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_2007_43_4_a10/
LA  - en
ID  - KYB_2007_43_4_a10
ER  - 
%0 Journal Article
%A Varga, Štefan
%T Robust estimations in classical regression models versus robust estimations in fuzzy regression models
%J Kybernetika
%D 2007
%P 503-508
%V 43
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_2007_43_4_a10/
%G en
%F KYB_2007_43_4_a10
Varga, Štefan. Robust estimations in classical regression models versus robust estimations in fuzzy regression models. Kybernetika, Tome 43 (2007) no. 4, pp. 503-508. http://geodesic.mathdoc.fr/item/KYB_2007_43_4_a10/

[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 | Zbl

[3] Huber P. J.: Robust Statistics. Wiley, New York 1981 | MR

[4] Klir G. J., Yuan B.: Fuzzy Sets and Fuzzy Logic – Theory and Applications. Prentice Hall PTR, Upper Saddle River, NJ 1995 | MR | Zbl

[5] Rousseeuw P. J.: Least median of squares regression. J. Amer. Statist. Assoc. 79 (1984), 871–880 | MR | Zbl

[6] Šabo M.: On T-reverse of T-norms. Tatra Mt. Math. Pub. 12 (1997), 35–40 | MR | Zbl

[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

[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