Strategic Study of CAE >> 2004, Volume 6, Issue 11
Pattern Recognition With Fuzzy Central Clustering Algorithms
1. Sichuan University of Sciences and Engineering, Zigong, Sichuan 643033, China
2. Broadcast Television University of Sichuan, Chengdu 610073, China
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Abstract
Based on optimization of constrained nonlinear programming, an approach of clustering center and a fuzzy membership function of pattern classification are derived from an objective function of the constrained nonlinear programming. An unsupervised algorithm with recursive expression and a fuzzy central cluster neural network are suggested in this paper. The fuzzy central cluster neural network proposed here can realize crisp decision or fuzzy decision in pattern classification.
Keywords
fuzzy sets ; central cluster ; pattern recognition ; neural network
References
[ 1 ] DevijverPA , KittlerJ.PatternRecognitionTheoryandApplications[M].Berlin:SpringerVerlag, 1987
[ 2 ] RipleyBD .PatternRecognitionandNeuralNetworks[M].NewYork:CambridgeUniversityPress, 1996
[ 3 ] PalSK , MitraS .Neuro fuzzyPatternRecognitionMethodsinSoftComputing[M].AWiley intersciencePublication, JohnWiley&Sons, Inc, 1999
[ 4 ] SkarbekW .Roughsetsforenhancementsoflocalsubspaceclassifier[J ].InterJournal, Neurocomputing, 2001, 36:67~84
[ 5 ] DumitrescuD , LazzeriniB .FuzzySetsandTheirApplicationtoClusteringandTraining[M ].NewYork:TheCRCPress, 2000
[ 6 ] 曾黄麟.粗集理论及其应用 (修定版) [M ].重庆:重庆大学出版社, 1998 link1
[ 7 ] MitraS , PalSK .Self organizingneuralnetworkasafuzzyclassifier[J].IEEETransSystems, ManandCybernetics, 1994, 24:385~395
[ 8 ] PalSK , MitraS , Multilayerperceptron, fuzzysets, andclassification[J].IEEETransNeuralNetwork, 1992, 3:683~696
[ 9 ] 曾黄麟.AFuzzycentralclusterneuralclassifier[A].ProcofInterConfonAutoAndControl[C], Hefei, China, 2000.345~351
[10] BobrowskiL , BezdekJ , C meansclusteringwithL1andL∞ norms[J].IEEETransactionsonSystems, ManandCybernetics, 1991, 21:545~554
[11] BezdekJ .PatternRecognitionWithFuzzyObjectiveFunctionAlgorithms[M].NewYork:PlenumPress, 1981
[12] 蔡元龙.模式识别[M ], 西安:西安电子科技大学出版社, 1992 link1