Fuzzy perceptron with pocket algorithm in postoperative patient data set

Classification is one of the problems in pattern recognition. Most of the time this problem will deal with data sets that are in numeric form and represented by vectors of numbers. Since there might be uncertainties embedded in a data set, it is more natural to represent the data set as fuzzy vectors. Hence, in this paper, we develop a fuzzy perceptron with pocket algorithm for fuzzy vectors. This algorithm is based on the extension principle and the decomposition theorem. We implement this algorithm on both synthetic and a real-world data set, i.e., the postoperative patient data. We also compare the result from the fuzzy perceptron with pocket algorithm with that from the regular perceptron with pocket algorithm. The comparison is done on the fuzzy perceptron with and without pocket as well.

[1]  Jyh-Yeong Chang,et al.  Fuzzy perceptron neural networks for classifiers with numerical data and linguistic rules as inputs , 2000, IEEE Trans. Fuzzy Syst..

[2]  Sansanee Auephanwiriyakul,et al.  An Investigation of a Linguistic Perceptron in a Nonlinear Decision Boundary Problem , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[3]  Julius T. Tou,et al.  Pattern Recognition Principles , 1974 .

[4]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[5]  Sansanee Auephanwiriyaku A Preliminary Investigation of a Linguistic Perceptron , 2005, Australian Conference on Artificial Intelligence.

[6]  W. Dong,et al.  Fuzzy computations in risk and decision analysis , 1985 .

[7]  Yuan Yan Chen,et al.  Fuzzy analysis of statistical evidence , 2000, IEEE Trans. Fuzzy Syst..

[8]  James J. Buckley,et al.  Fuzzy neural network with fuzzy signals and weights , 1993, Int. J. Intell. Syst..

[9]  Paul D. Gader,et al.  Generalized Choquet fuzzy integral fusion , 2002, Inf. Fusion.

[10]  John N. Mordeson,et al.  Fuzzy Mathematics - An Introduction for Engineers and Scientists , 2001, Studies in Fuzziness and Soft Computing.

[11]  James M. Keller,et al.  Analysis and efficient implementation of a linguistic fuzzy c-means , 2002, IEEE Trans. Fuzzy Syst..

[12]  Hideo Tanaka,et al.  An architecture of neural networks for input vectors of fuzzy numbers , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[13]  P. Sneath The application of computers to taxonomy. , 1957, Journal of general microbiology.

[14]  Hisao Ishibuchi,et al.  Neural networks that learn from fuzzy if-then rules , 1993, IEEE Trans. Fuzzy Syst..

[15]  Paul D. Gader,et al.  New fuzzy set tools to aid in predictive sensor fusion , 2000, Defense, Security, and Sensing.

[16]  H. Ishibuchi,et al.  A learning algorithm of fuzzy neural networks with triangular fuzzy weights , 1995 .

[17]  Madan M. Gupta,et al.  On fuzzy neuron models , 1991, IJCNN-91-Seattle International Joint Conference on Neural Networks.

[18]  Rainer Palm,et al.  Fuzzy inputs , 1994 .

[19]  Stephen I. Gallant,et al.  Perceptron-based learning algorithms , 1990, IEEE Trans. Neural Networks.

[20]  D. Dubois,et al.  Efficient inference procedures with fuzzy inputs , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[21]  M. Mares,et al.  Computation Over Fuzzy Quantities , 1994 .

[22]  Hahn-Ming Lee,et al.  A neural network architecture for classification of fuzzy inputs , 1994 .

[23]  Ivan Kramosil,et al.  Fuzzy metrics and statistical metric spaces , 1975, Kybernetika.

[24]  Jyh-Yeong Chang,et al.  Fuzzy perceptron learning and its application to classifiers with numerical data and linguistic knowledge , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[25]  Ronald R. Yager,et al.  Modeling fuzzy logic controllers having noisy inputs , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[26]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[27]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[28]  S Summers,et al.  The use of machine learning program LERS-LB 2.5 in knowledge acquisition for expert system development in nursing. , 1991, Computers in nursing.

[29]  Osmo Kaleva,et al.  On fuzzy metric spaces , 1984 .

[30]  Hahn-Ming Lee,et al.  Fuzzy pocket algorithm: a generalized pocket algorithm for classification of fuzzy inputs , 1993, Proceedings of 1993 International Conference on Neural Networks (IJCNN-93-Nagoya, Japan).

[31]  F. S. Wong,et al.  Fuzzy weighted averages and implementation of the extension principle , 1987 .

[32]  Sylvie Galichet,et al.  FUZZY CONTROL WITH NON-PRECISE INPUTS , 1995 .

[33]  James M. Keller,et al.  Linguistic classifiers with application to management questionnaires , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).