Fuzzy co-transform and its application to time series

We introduce the definition of fuzzy co-transform, as complementary to the definition of fuzzy transform and applied to co-domain of real functions. Basic properties of direct and inverse fuzzy co-transform are discussed. Examples of application to time series are given.

[1]  Enrique H. Ruspini,et al.  A New Approach to Clustering , 1969, Inf. Control..

[2]  Irina Perfilieva Approximating models based on fuzzy transforms , 2005, EUSFLAT Conf..

[3]  Irina Perfilieva Fuzzy Transforms and Their Applications to Image Compression , 2005, WILF.

[4]  Vilém Novák,et al.  Fuzzy transform in the analysis of data , 2008, Int. J. Approx. Reason..

[5]  Irina Perfilieva,et al.  Fuzzy transforms: Theory and applications , 2006, Fuzzy Sets Syst..

[6]  Vilém Novák,et al.  Analysis and prediction of time series using fuzzy transform , 2008, 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence).

[7]  Luciano Stefanini Fuzzy Transform and Smooth Functions , 2009, IFSA/EUSFLAT Conf..

[8]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  Irina Perfilieva,et al.  Data compression on the basis of fuzzy transforms , 2005, EUSFLAT Conf..

[10]  Salvatore Sessa,et al.  An image coding/decoding method based on direct and inverse fuzzy transforms , 2008, Int. J. Approx. Reason..