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RFCM: A Hybrid Clustering Algorithm Using Rough and Fuzzy Sets

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Języki publikacji
EN
Abstrakty
EN
A hybrid unsupervised learning algorithm, termed as rough-fuzzy c-means, is proposed in this paper. It comprises a judicious integration of the principles of rough sets and fuzzy sets. While the concept of lower and upper approximations of rough sets deals with uncertainty, vagueness, and incompleteness in class definition, the membership function of fuzzy sets enables efficient handling of overlapping partitions. The concept of crisp lower bound and fuzzy boundary of a class, introduced in rough-fuzzy c-means, enables efficient selection of cluster prototypes. Several quantitative indices are introduced based on rough sets for evaluating the performance of the proposed c-means algorithm. The effectiveness of the algorithm, along with a comparison with other algorithms, has been demonstrated on a set of real life data sets.
Wydawca
Rocznik
Strony
475--496
Opis fizyczny
bibliogr. 24 poz., fot., tab., wykr.
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autor
autor
Bibliografia
  • [1] Asharaf, S., Murty,M. N.: A Rough Fuzzy Approach toWeb Usage Categorization, Fuzzy Sets and Systems, 148, 2004, 119-129.
  • [2] Banerjee, M., Mitra, S., Pal, S. K.: Rough-Fuzzy MLP: Knowledge Encoding and Classification, IEEE Transactions on Neural Networks, 9(6), 1998, 1203-1216.
  • [3] Barni, M., Cappellini, V., Mecocci, A.: Comments on A Possibilistic Approach to Clustering, IEEE Transactions on Fuzzy Systems, 4(3), 1996, 393-396.
  • [4] Bezdek, J. C.: Pattern Recognition with Fuzzy Objective Function Algorithm, New York: Plenum, 1981.
  • [5] Bezdek, J. C., Pal, N. R.: Some New Indexes for Cluster Validity, IEEE Transactions on System, Man, and Cybernetics, Part B, Cybernetics, 28, 1988, 301-315.
  • [6] Dubois, D., H.Prade: Rough Fuzzy Sets and Fuzzy Rough Sets, International Journal of General Systems, 17, 1990, 191-209.
  • [7] Dubois, D., Prade, H.: Putting Fuzzy Sets and Rough Sets Together, in: R. Slowiniski (Ed.), Intelligent Decision Support, 1992, 203-232.
  • [8] Duda, R. O., Hart, P. E., Stork, D. G.: Pattern Classification and Scene Analysis, John Wiley & Sons, New York, 1999.
  • [9] Dunn, J. C.: A Fuzzy Relative of the ISODATA Process and its Use in Detecting Compact, Well-Separated Clusters, J. Cybern., 3, 1974, 32-57.
  • [10] Jain, A. K., Dubes, R. C.: Algorithms for Clustering Data, Englewood Cliffs, N.J.: Prentice Hall, 1988.
  • [11] Jain, A. K., Murty, M. N., Flynn, P. J.: Data Clustering: A Review, ACM Computing Surveys, 31(3), 1999, 264-323.
  • [12] Jensen, R., Shen, Q.: Fuzzy-Rough Attribute Reduction with Application to Web Categorization, Fuzzy Sets and Systems, 141, 2004, 469-485.
  • [13] Krishnapuram, R., Keller, J. M.: A Possibilistic Approach to Clustering, IEEE Transactions on Fuzzy Systems, 1(2), 1993, 98-110.
  • [14] Krishnapuram, R., Keller, J. M.: The Possibilistic C-Means Algorithm: Insights and Recommendations, IEEE Transactions on Fuzzy Systems, 4(3), 1996, 385-393.
  • [15] Lingras, P., West, C.: Interval Set Clustering of Web Users with Rough K-Means, Journal of Intelligent Information Systems, 23(1), 2004, 5-16.
  • [16] Maji, P., Pal, S. K.: Rough-Fuzzy C-Medoids Algorithm and Selection of Bio-Basis for Amino Acid Sequence Analysis, IEEE Transactions on Knowledge and Data Engineering, 19(6), 2007, 859-872.
  • [17] McQueen, J.: SomeMethods for Classification and Analysis ofMultivariate Observations, Proc. Fifth Berkeley Symp. Math. Statistics and Probability, 1967, 281-297.
  • [18] Mitra, S., Banka, H., Pedrycz, W.: Rough-Fuzzy Collaborative Clustering, IEEE Transactions on Systems, Man, and Cybernetics, Part B, Cybernetics, 36, 2006, 795-805.
  • [19] Pal, N. R., Pal, K., Keller, J. M., Bezdek, J. C.: A Possibilistic Fuzzy C-Means Clustering Algorithm, IEEE Transactions on Fuzzy Systems, 13(4), 2005, 517-530.
  • [20] Pal, S. K., Ghosh, A., Sankar, B. U.: Segmentation of Remotely Sensed Images with Fuzzy Thresholding, and Quantitative Evaluation, International Journal of Remote Sensing, 21(11), 2000, 2269-2300.
  • [21] Pal, S. K., Mitra, S., Mitra, P.: Rough-Fuzzy MLP: Modular Evolution, Rule Generation, and Evaluation, IEEE Transactions on Knowledge and Data Engineering, 15(1), 2003, 14-25.
  • [22] Pawlak, Z.: Rough Sets, Theoretical Aspects of Resoning About Data, Dordrecht, The Netherlands: Kluwer, 1991.
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  • [24] Wu, W., Zhang, W.: Constructive and Axiomatic Approaches of Fuzzy Approximation Operators, Information Sciences, 159, 2004, 233-254.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0014-0024
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