Fuzzy and fourier transforms

Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2011 and French Days on Fuzzy Logic and Applications, LFA 2011

Volumn 1, Issue 1, 2011, Pages 452-456

  Perfilieva, Irina ^a   Hod'áková, Petra ^a  

^a UNIVERSITY OF OSTRAVA   (Czech Republic)

Author keywords

Convolutions of functions; Discrete Fourier transform; Discrete Ftransform

Indexed keywords

COMPUTER CIRCUITS; DISCRETE FOURIER TRANSFORMS; IMAGE PROCESSING; LOW PASS FILTERS;

F TRANSFORMS; FUZZY MODELING; FUZZY TRANSFORMS; SPECIFIC TOOL;

FUZZY LOGIC;

EID: 84871941242     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2991/eusflat.2011.12     Document Type: Conference Paper

References (9)

1. I. Perfilieva, Fuzzy Transforms: Theory and applications. Fuzzy Sets and Systems, Vol. 157, pp. 993-1023, Elsevier, 2006.
2. I. Perfilieva and M. Danková: Image fusion on the basis of fuzzy transforms. Proc. 8th Int. FLINS Conf., Madrid, pp. 471-476, 2008.
3. I. Perfilieva, M. Danková, P. Hod'áková and M. Vajgl: F-Transform Based Image Fusion. In-Tech, 2010.
4. I. Perfilieva, V. Pavliska, M. Vajgl and B. De 1 0 1 sin 5x Inverse Ftransform of sin 5x Ftransform components A1 A15 A8 . . . . . . x160=x =2 0 Figure 4: Above: Function sin(5x), its inverse Ftransform and corresponding 15 components of direct F-transform; Below: Fuzzy partition of
5. F. Di Martino, V. Loia, I. Perfilieva, S. Sessa: An image coding/decoding method based on direct and inverse fuzzy transforms. International Journal of Appr. reasoning, Vol. 48, pp. 110-131, 2008.
6. I. Perfilieva, V. Novák, V. Pavliska, A. Dvorák and M. Ŝtepnicka: Analysis and prediction of time series using fuzzy transform. Proc. of WCCI 2008, IEEE Int. Conf. on Neural Networks, pp. 3875-3879, Hong Kong, 2008.
7. M. Ŝtepnicka and R. Valáŝek: Numerical solution of partial differential equations with help of fuzzy transform. Proc. of the 2005 IEEE International Conference on Fuzzy Systems (FUZZIEEE' 05), pp. 1153-1162, Reno, Nevada, 2005.
8. G. Bachman, L. Narici and E. Beckenstein. Fourier and Wavelet Analysis, Springer-Verlag, New York, 2000.
9. I. Perfilieva and V. Kreinovich, Towards a General Description of Translation-Invariant and Translation-Covariant Linear Transformations: A Natural Justification of Fourier Transforms and Fuzzy Transforms. Proc. of the IFSAAFSS' 2011 Congress, Surabaya and Bali Island, INDONESIA, to appear.