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A new heuristic possibilistic clustering algorithm for feature selection

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Języki publikacji
EN
Abstrakty
EN
The paper deals with the problem of selection of the most informative features. A new effective and efficient heuristic possibilistic clustering algorithm for feature selection is proposed. First, a brief description of basic concepts of the heuristic approach to possibilistic clustering is provided. A technique of initial data preprocessing is described and a fuzzy correlation measure is considered. The new algorithm is described and then illustrated on the well-known Iris data set benchmark and the results obtained are compared with those by using the conventional, well-known and widely employed method of principal component analysis (PCA). Conclusions and suggestions for future research are given.
Twórcy
autor
  • Systems Research Institute, Polish Academy of Sciences 6 Newelska St., 01-447 Warsaw, Poland
  • Systems Research Institute, Polish Academy of Sciences 6 Newelska St., 01-447 Warsaw, Poland
  • United Institute of Informatics Problems, National Academy of Sciences of Belarus 6 Surganov St., 220012 Minsk, Belarus
Bibliografia
  • [1] Blum A. , Langley P., “Selection of relevant features and examples in machine learning”, Artificial Intelligence, vol. 97, no.1–2, 1997, 245–271. DOI: http://dx.doi.org/10.1016/S0004-3702(97)00063-5
  • [2] Kohavi R. , John G., “Wrappers for feature subset selection”, Artificial Intelligence, vol. 97, no. 1–2,1997, 273–324. DOI: http://dx.doi.org/10.1016/S0004-3702(97)00043-X
  • [3] Ghazavi S.N., Liao T.W., “Medical data mining by fuzzy modeling with selected features”, Artificial Intelligence in Medicine, vol. 43, no. 3, 2008, 195–206. DOI: http://dx.doi.org/10.1016/j.artmed.2008.04.004
  • [4] Draminski M., Kierczak M., Nowak-Brzezinska A., Koronacki J., and Komorowski J., “The Monte Carlo feature selection and interdependency discovery is unbiased”, Control and Cybernetics, vol. 40, no. 2, 2011, 199–211.
  • [5] Kong Y.-Q., Wang S.-T., “Feature selection and semi-supervised fuzzy clustering”, Fuzzy Information and Engineering, vol. 1, no. 2, 2009, 179–190.
  • [6] Chitsaz E., Taheri M., Katebi S.D., “A fuzzy approach to clustering and selecting features for classification of gene expression data”. In: Proc.World Congress of Engineering (WCE 2008), 2008,1650–1655.
  • [7] Chitsaz E., Taheri M., Katebi S.D., Jahromi M.Z., “An improved fuzzy feature clustering and selection based on chi-squared-test”. In: Proc. Int. Multiconference of Engineers and Computer Scientists (IMECS 2009), 2009, 35–40.
  • [8] Bezdek J.C., Keller J.M., Krishnapuram R., Pal N.R., Fuzzy Models and Algorithms for Pattern Recognition and Image Processing, Springer Science, New York, 2005. DOI: http://dx.doi.org/10.1007/ b106267.
  • [9] Mandel I.D., Clustering Analysis, Finansy i Statistica, Moscow, 1988. (in Russian)
  • [10] Viattchenin D.A., “A new heuristic algorithm of fuzzy clustering”, Control and Cybernetics, vol. 33, no. 2, 2004, 323–340.
  • [11] Viattchenin D.A., “A direct algorithm of possibilistic clustering with partial supervision”, Journal of Automation, Mobile Robotics and Intelligent Systems, vol. 1, no. 3, 2007, 29–38.
  • [12] Viattchenin D.A., “An algorithm for detecting the principal allotment among fuzzy clusters and its application as a technique of reduction of analyzed features space dimensionality”, J. Information and Organizational Sciences, vol. 33, no. 1, 2009, 205–217.
  • [13] Viattchenin D.A., “Direct algorithms of fuzzy clustering based on the transitive closure operation and their application to outliers detection”, Artificial Intelligence, no. 3, 2007, 205–216.(in Russian)
  • [14] Krishnapuram R., Keller J.M., “A possibilistic approach to clustering”, IEEE Trans. on Fuzzy Systems, vol. 1, no. 2, 1993, 98–110. DOI: http://dx.doi.org/10.1109/91.227387
  • [15] Walesiak M., A generalized distance measure in statistical multivarate analysis., Pub. Wydawnictwo Akademii Ekonomicznej im. Oskara Langego, Wrocław, 2002 (in Polish).
  • [16] Chaudhuri B.B., Bhattacharya A., “On correlation between two fuzzy sets”, Fuzzy Sets and Systems, vol. 118, no. 3, 2001, 447–456.
  • [17] Anderson E., “The irises of the Gaspe Peninsula”,Bulletin of the American Iris Society, vol. 59, no. 1,1935, 2–5.
  • [18] SatoIlic M., Jain L.C., Innovations in Fuzzy Clustering:Theory and Applications, Springer-Verlag, Heidelberg, 2006.
  • [19] Murthy C.A., Pal S.K., Dutta Majumder D., “Correlation between two fuzzy membership functions”, Fuzzy Sets and Systems, vol. 17, no. 1, 1985, 23–38. DOI: http://dx.doi.org/10.1016/0165-0114(85)90004-1
  • [20] Chiang D.-A., Lin N.P., “Correlation of fuzzy sets”, Fuzzy Sets and Systems, vol. 102, no. 2, 1999, 221–226. DOI: http://dx.doi.org/10.1016/S0165-0114(97)00127-9
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Bibliografia
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