Proceedings of the Japan Joint Automatic Control Conference
THE 52ND JAPAN JOINT AUTOMATIC CONTROL CONFERENCE
Session ID : B1-7
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Validity Assessment of Fuzzy Partition Based on Procrustean Transformation of Principal Component Scores
*Tomohiro MatsuiKatsuhiro HondaAkira NotsuHidetomo Ichihashi
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Abstract

A technique for analytically estimating a relaxed solution for k-Means clustering was proposed based on a PCA-guided manner. In the technique, however, the derived cluster indicator is a rotated solution, in which the rotation matrix cannot be explicitly estimated. This paper introduces a technique estimating rotation matrix by Procrustean transformation of principal component scores in order to select the optimal solution from multiple solutions derived by Fuzzy c-Means, and proposes a cluster validation method considering the deviation between the fuzzy clustering solution and the re-constructed membership indicator matrix, which implies the plausibility of the fuzzy clustering solution from the view point of information summarization.

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© 2009 ISCIE
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