Towards a higher degree F-transform

Fuzzy Sets and Systems

Volumn 180, Issue 1, 2011, Pages 3-19

  Perfilieva, Irina ^a   Daňková, Martina ^a   Bede, Barnabas ^b  

^a UNIVERSITY OF OSTRAVA   (Czech Republic)

^b UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

Author keywords

F transform; Fm transform; Fuzzy partition; Gaussian quadrature; Orthogonal basis

Indexed keywords

CONSTANT COMPONENTS; F-TRANSFORM; FUZZY PARTITION; GAUSSIAN QUADRATURES; HIGHER-DEGREE; NUMERIC INTEGRATION; ORTHOGONAL BASIS;

EID: 79960630074     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2010.11.002     Document Type: Article

References (12)

1. N.S. Bachvalov, N.P. Zhidkov, and G.M. Kobelkov Numerical Methods 1987 Nauka Moscow
2. R.A. DeVore, and G.G. Lorentz Constructive Approximation 1993 Springer-Verlag Berlin, Heidelberg
3. 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. Reason. 48 2008 110 131 (Pubitemid 351324063)
4. A. Di Nola, A. Lettieri, I. Perfilieva, and V. Novák Algebraic analysis of fuzzy systems Fuzzy Sets and Systems 158 2007 1 22 (Pubitemid 44712052)
5. A.N. Kolmogorov, and S.V. Fomin Elements of the Theory of Functions and Functional Analysis sixth ed. 1989 FizMatLit Moscow
6. V. Novák, I. Perfilieva, A. Dvořák, G. Chen, Q. Wei, and P. Yan Mining pure linguistic associations from numerical data Int. J. Approx. Reason. 48 2008 4 22 (Pubitemid 351324060)
7. I. Perfilieva Fuzzy transforms: theory and applications Fuzzy Sets and Systems 157 2006 993 1023
8. I. Perfilieva Fuzzy transforms: a challenge to conventional transforms P.W. Hawkes, Advances in Images and Electron Physics vol. 147 2007 Elsevier Academic Press San Diego 137 196 (Pubitemid 47096625)
9. I. Perfilieva, and M. Daňková Image fusion on the basis of fuzzy transforms D. Ruan, Computational Intelligence in Decision and Control 2008 World Scientific Paris, France 471 476
10. I. Perfilieva, H. De Meyer, B. De Baets, D. Plšková, Cauchy problem with fuzzy initial condition and its approximate solution with the help of fuzzy transform, in: Proceedings of WCCI 2008, IEEE International Conference on Fuzzy Systems, Hong Kong, 2008.
11. L. Stefanini Fuzzy transform with parametric Lu-fuzzy partitions D. Ruan, Computational Intelligence in Decision and Control 2008 World Scientific Paris, France 399 404
12. M. Štěpnička, R. Valášek, Numerical solution of partial differential equations with help of fuzzy transform, in: Proceedings of the FUZZ-IEEE'05, Nevada, Reno, 2005.