A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

Zheng Yujie1、Yang Jingyu​​​​​​​1、Wu Xiaojun2,3、Li Yongzhi​​​​​​​1

Strategic Study of CAE ›› 2007, Vol. 9 ›› Issue (2) : 49-53.

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PDF(384 KB)
Strategic Study of CAE ›› 2007, Vol. 9 ›› Issue (2) : 49-53.

A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory

  • Zheng Yujie1、Yang Jingyu​​​​​​​1、Wu Xiaojun2,3、Li Yongzhi​​​​​​​1

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Abstract

2DLDA algorithm is based on2D matrices and overleaps the step of transforming the matrices into the corresponding vectors,which is done on conventional LDA algorithm.However,performance of recognition rate may always be degraded by the overlapping(outlier)samples et al in the field of pattern recognition.How to avoid these shortcomings and extract optimal features to improve the performance of recognition is a key step. In this paper,a new2DLDA algorithm,named fuzzy2DLDA,is proposed.Fuzzy k-nearest neighbour(FKNN) is implemented first to achieve the distribution information of original samples represented with fuzzy membership degrees and is incorporated into the process of feature extraction.The proposed algorithm inherits the virtue of conventional2DLDA and suppresses the shortcoming resulted by overlappin g(outlier)samples et al. Experimental results on AT&T face database demonstrate rec ognition rates of the proposed algorithm outperform that of conventional2DLDA and fisherface.

Keywords

two-dimensional linear discriminant analysis(2DLDA) / fuzzy two-dimensional linear

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Zheng Yujie,Yang Jingyu,Wu Xiaojun, Li Yongzhi. A New Two_dimensional Linear Discriminant Analysis Algori thmBased on Fuzzy Set Theory. Strategic Study of CAE, 2007, 9(2): 49‒53
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