A smoothing filter based on fuzzy transform

Fuzzy Sets and Systems

Volumn 180, Issue 1, 2011, Pages 69-97

  Holčapek, Michal ^a   Tichý, Tomáš ^b  

^a UNIVERSITY OF OSTRAVA   (Czech Republic)

^b VSB TECHNICAL UNIVERSITY OF OSTRAVA   (Czech Republic)

Author keywords

Financial returns; Fuzzy partition; Fuzzy transform; Kernel regression; Nadaraya Watson estimator; Noise reduction

Indexed keywords

FINANCIAL RETURNS; FUZZY PARTITION; FUZZY TRANSFORM; KERNEL REGRESSION; NADARAYA-WATSON ESTIMATOR; NOISE REDUCTIONS;

ACOUSTIC NOISE MEASUREMENT; FUZZY SYSTEMS; WHITE NOISE;

FUZZY FILTERS;

EID: 79960633747     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2011.05.028     Document Type: Article

References (35)

1. A. Assenza, M. Valle, and M. Verleysen A comparative study of various probability density estimation methods for data analysis Int. J. Comput. Intell. Sys. 1 2 2009 188 201
2. M. Daňková, and R. Valášek Full fuzzy transform and the problem of image fusion J. Electr. Eng. 57 7 2006 82 84
3. M. Daňková, and M. Štěpnička Fuzzy transform as an additive normal form Fuzzy Sets Syst. 157 8 2006 1024 1035
4. F. Di Martino, V. Loia, I. Perfilieva, and S. Sessa An image coding/decoding method based on direct and inverse fuzzy transforms Int. J. Approx. Reasoning 48 1 2008 110 131 (Pubitemid 351324063)
5. F. di Martino, V. Loia, and S. Sessa Fuzzy transforms method and attribute dependency in data analysis Inf. Sci. 180 4 2010 493 505
6. F. Di Martino, V. Loia, and S. Sessa A segmentation method for images compressed by fuzzy transforms Fuzzy Sets Syst. 161 1 2010 56 74
7. D. Dubois, and H. Prade Operations on fuzzy numbers Int. J. Syst. Sci. 9 1978 613 626
8. R.L. Eubank Spline Smoothing and Nonparametric Regression, Statistics, Textbooks and Monographs 1988 M. Dekker
9. J. Fan, and I. Gijbels Local Polynomial Modelling and Its Applications, Monographs on Statistics & Applied Probability 1996 Chapman & Hall/CRC
10. J. Fan, and Q. Yao Nonlinear Time Series: Nonparametric and Parametric Methods, Springer Series in Statistics 2005 Springer-Verlag
11. W. Hölder, M. Müller, S. Sperlich, and A. Werwatz Nonparametric and semiparametric models 2004 Springer-Verlag, Berlin Heidelberg
12. M. Holčapek, and T. Tichý A probability density function estimation using F-transform Kybernetika 46 3 2010 447 458
13. G.J. Klir, and B. Yuan Fuzzy Sets and Fuzzy Logic: Theory and Applications 1995 Prentice-Hall NJ
14. I. Koo, and R.M. Kil Model selection for regression with continuous kernel functions using the modulus of continuity J. Mach. Learn. Res. 9 2008 2607 2633
15. E.J. Kostelich, and J.A. Yorke Noise reduction: finding the simplest dynamical system consistent with the data Physica, D 41 1990 183 196
16. H.-H. Kuo White noise distribution theory 1996 CRC Press
17. C.S. Lee, Y.H. Kuoa, and P.T. Yub Weighted fuzzy mean filters for image processing Fuzzy Sets Syst. 89 2 1997 157 180
18. M. Nachtegael, D. Van der Weken, D. Van De Ville, E.E. Kerre (Eds.), Fuzzy Filters for Image Processing Studies in Fuzziness and Soft Computing, Springer-Verlag, 2003.
19. E.A. Nadaraya On estimating regression Theory Probab. Appl. 9 1 1964 141 142
20. A. Pagan, and A. Ullah Nonparametric Econometrics 1999 Cambridge University Press New York
21. I. Perfilieva, Fuzzy transforms, in: J.F. Peters, et al. (Eds.), Transactions on Rough Sets II. Rough Sets and Fuzzy Sets, Lecture Notes in Computer Science, vol. 3135, Springer, Berlin, 2004, pp. 63-81. Journal Subline. (Pubitemid 39749678)
22. I. Perfilieva, Fuzzy transforms and their applications to image compression, in: I. Bloch et al. (Eds.), Fuzzy Logic and Applications. Sixth International Workshop, WILF 2005, Crema, Italy, September 15-17, 2005, pp. 19-31. Revised selected papers. Lecture Notes in Computer Science, vol. 3849, Springer, Berlin. Lecture Notes in Artificial Intelligence, 2006.
23. I. Perfilieva Fuzzy transforms: theory and applications Fuzzy Sets Syst. 157 8 2006 993 1023
24. I. Perfilieva, M. Daňková, Towards f-transform of a higher degree, in: Proceedings of IFSA/EUSFLAT 2009, Lisbon, Portugal, 2009, pp. 585-588.
25. I. Perfilieva, V. Novák, and A. Dvořák Fuzzy transform in the analysis of data Int. J. Approx. Reasoning 48 1 2008 36 46 (Pubitemid 351324058)
26. E.H. Ruspini A new approach to clustering Inf. Control 15 1 1969 22 32
27. B.W. Silverman Density Estimation for Statistics and Data Analysis 1986 Chapman & Hall/CRC London
28. J.S. Simonoff Smoothing Methods in Statistics 1996 Springer-Verlag New York
29. L. Stefanini, Fuzzy transform and smooth function, in: Proceedings of IFSA/EUSFLAT 2009, Lisbon, Portugal, 2009, pp. 579-584.
30. L. Stefanini, L. Sorini, and M.L. Guerra Parametric representation of fuzzy numbers and application to fuzzy calculus Fuzzy Sets Syst. 157 18 2006 2423 2455 (Pubitemid 44176153)
31. M. Štěpnička Fuzzy transformation and its applications in a/d converter J. Electr. Eng. 54 12 2003 72 75
32. M. Štěpnička, and R. Valášek Fuzzy transforms and their application to wave equation J. Electr. Eng. 55 12 2004 7 10
33. M.P. Wand, and M.C. Jones Kernel Smoothing, Monographs on Statistics & Applied Probability 1995 Chapman&Hall/CRC London
34. G.S. Watson Smooth regression analysis Sankhya, Series A 26 1964 359 372
35. J. Yeh Lectures on Real Analysis 2000 World Scientific Singapore xvi, p. 548