Efficient decomposition methods of fuzzy relation and their application to image decomposition

Authors:
Hajime Nobuhara;Kaoru Hirota;Salvatore Sessa;Witold Pedrycz
Affiliations:
Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259 Nagatsuta, Midiri-ku, Yokohama 226-8502, Japan;Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259 Nagatsuta, Midiri-ku, Yokohama 226-8502, Japan;DICOMMA, University of Napoli, "Federico II", Via Monteoliveto 3, 80134 Napoli, Italy;Department of Electrical and Computer Engineering, University of Alberta, Edmonton T6R 2G7, Canada
Venue:
Applied Soft Computing
Year:
2005

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Abstract

Two optimizations for decomposition problem of fuzzy relation (image) are proposed. The first optimization is a fast decomposition method of fuzzy relation based on the properties of max and min operations and the simultaneous updating of the prototype. The second optimization corresponds to an improvement of a cost function, in order to obtain a good quality of the solution of the decomposition problem.