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Keywords:
fuzzy transform; fuzzy partition; compression; fusion
fuzzy transform; fuzzy partition; compression; fusion
Summary:
An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of $F$-transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.
References:
[1] R. P. Dilworth M. Ward: Residuated lattices. Trans. Amer. Math. Soc. 45 (1939) 335-354. DOI 10.1090/S0002-9947-1939-1501995-3 | MR 1501995
[2] K. Hirota, W. Pedricz: Fuzzy relational compression. IEEE Trans. Syst., Man, Cyber. 29 (1999) 407-415. DOI 10.1109/3477.764876
[3] V. Loia, S. Sessa: Fuzzy relation equations for coding/decoding processes of images and videos. Information Sciences, 2005, to appear. MR 2123815 | Zbl 1078.68815
[4] I. Perfilieva, E. Haldeeva: Fuzzy Transformation. In: Proc. IFSA'2001 World Congress, Vancouver, Canada, July 25-28, 2001.
[5] I. Perfilieva: Fuzzy Transform: Application to Reef Growth Problem. In: Fuzzy Logic in Geology (R. B. Demicco and G. J. Klir, Eds.), Academic Press, Amsterdam 2003, pp. 275-300.
[6] Perfilieva I., R. Valášek: Fuzzy Transforms in Removing Noise. In: Computational Intelligence, Theory and Applications ( B. Reusch, Ed.), Springer, Heidelberg, 2005, pp. 225-234.
[7] I. Perfilieva: Fuzzy Transforms: Theory and Applications. Fuzzy Sets and Systems, 157 2006, 993-1023. DOI 10.1016/j.fss.2005.11.012 | MR 2218243 | Zbl 1092.41022
[8] I. Perfilieva: Fuzzy Transforms and Their Applications to Image Compression. In: Fuzzy Logic and Applications (I. Bloch, A. Petrosino, A. Tettamanzi, Eds.), LNAI 3849, 6th Int. Workshop WILF 2005, Crema, Italy, 2005, pp. 19-31. Zbl 1168.68383
[9] M. Štěpnička, R. Valášek: Fuzzy Transforms for Functions with Two Variables. In: Methods for Decision Support in Environment with Uncertainty - Applications in Economics, Business and Engineering (J. Ramík and V. Novák, Eds.), University of Ostrava, IRAFM, 2003, pp. 96-102.
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