ââ?¬â??In this paper, a new method for feature extraction and recognition called based on QR decomposition\r\nweighted kernel fuzzy discriminant analysis (WKFDA/QR) is proposed to deal with nonlinear separable problem. Since\r\nQR decomposition on a small size matrix is adopted. A superiority of the proposed methods is its computational\r\nefficiency and can avoid the singularity. In the proposed method, the membership degree is incorporated into the\r\ndefinition of between-class and within-class scatter matrixes to get fuzzy between-class and within-class scatter\r\nmatrixes. Under different distances and different kernel functions, we compare WKFDA/QR, kernel discriminant\r\nanalysis (KDA) and fuzzy discriminant analysis (FDA) three algorithms by means of the classification rate. In addition,\r\nwe also compare WKFDA/QR with KDA and FDA under the parameters of weighted function and kernel function.\r\nExperiments on ORL and FERET two real-world data sets are performed to test and evaluate the effectiveness of the\r\nproposed algorithms and the effect of weights on classification accuracy. The results show that the effect of weighted\r\nschemes is very significantly
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