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Reseach Article

A Fuzzy Classifier based on Product and Sum Aggregation Reasoning Rule

by U. V. Kulkarni, S. V. Shinde
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 62 - Number 5
Year of Publication: 2013
Authors: U. V. Kulkarni, S. V. Shinde
10.5120/10075-4687

U. V. Kulkarni, S. V. Shinde . A Fuzzy Classifier based on Product and Sum Aggregation Reasoning Rule. International Journal of Computer Applications. 62, 5 ( January 2013), 9-14. DOI=10.5120/10075-4687

@article{ 10.5120/10075-4687,
author = { U. V. Kulkarni, S. V. Shinde },
title = { A Fuzzy Classifier based on Product and Sum Aggregation Reasoning Rule },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 62 },
number = { 5 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 9-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume62/number5/10075-4687/ },
doi = { 10.5120/10075-4687 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:10:53.100465+05:30
%A U. V. Kulkarni
%A S. V. Shinde
%T A Fuzzy Classifier based on Product and Sum Aggregation Reasoning Rule
%J International Journal of Computer Applications
%@ 0975-8887
%V 62
%N 5
%P 9-14
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper proposes the algorithm ProSum to perform the supervised classification of the data. In the proposed algorithm data is fuzzified by using ?–type membership function to give the feature belongingness of each pattern to each class. By using Product aggregation reasoning rule (PARR) and sum aggregation reasoning rule (SARR), the belongingness of each pattern to each class is determined. Finally by using defuzzification operation each pattern is assigned with the predicted class label. In this paper, proposed algorithm is applied to four dataset: IRIS, WINE, BUPA and PIMA. Accuracy of the results is measured by using the performance measures Misclassification (MC), Percentage of overall class Accuracy (PA) and Kappa Index of Agreement (KIA). The performance of ProSum is compared with C4. 5 and PARR.

References
  1. Lin, C, Chung, I. , and Chen, C. 2007. An entropy-based quantum neuro-fuzzy inference system for classification applications, Neurocomputing 70 2502–2516.
  2. Cordon, O. , Jesus, M. , and Herrera, F. 1999. A proposal on reasoning methods in fuzzy rule-based classification systems, International Journal of Approximate Reasoning 20 21-45.
  3. Zak, A. 2007. Neural Model of Underwater Vehicle Dynamics, International Journal of Mathematics and Computers in Simulation 1(2) 189-195.
  4. Mukhopadhyay, S. , Tang, C. , Huang, J. , Yu, M. , and Palakal, M. 2002. A comparative study of genetic sequence classification algorithms, Proceedings of the 2002 12th IEEE Workshop on Neural Networks for Signal Processing 57 – 66.
  5. Setiono, R. , Baesens, B, and Mues, C. 2008. Recursive Neural Network Rule Extraction for Data With Mixed Attributes, IEEE Trans. Neural Networks, 19(2) 299-307.
  6. Duch, W. , Adamczak, R. , and Grabczwski, K. 2001. A new methodology of extraction, optimization and application of crisp and fuzzy logical rules, IEEE Trans. Neural Networks 12(2) 277-306.
  7. Decision Tree. Wikipedia, the free encyclopaedia 2005: htttp://en. wikipedia. org/wiki/Decision_tree.
  8. The Federal Budget Execution Process Decision Tree 2005: http://www. knownet. hhs. gov.
  9. Data Mining for Profit, Rosella Data mining & Database Analytics 2005 http://www. roselladb. com/.
  10. Umano, M. , Okamoto, H. , Hatono, I. , Tamura, H. , Kawachi, F. , Umedzu, S. , and Kinoshita, J. 1994. Fuzzy Decision Trees by Fuzzy ID3 algorithm and its Application to Diagnosis Systems, 3rd IEEE conf on Fuzzy Systems 3 2113-2118.
  11. Chang, R. L. , Pavlidis, T. 1977. Fuzzy decision tree algorithms. IEEE Transactions on Systems, Man, and Cybernetics 7(1) 28-35.
  12. Wang, X. - Z. , Yeung, D. S. , and Tsang, E. C. C. 2001. A Comparative Study on Heuristic Algorithms for Generating Fuzzy Decision Trees, IEEE Trans. Systems, Man, and Cybernetics 31(2) 215-226.
  13. Janikow, C. Z. 1998. Fuzzy decision trees: issues and methods, IEEE Trans. Systems, Man, and Cybernetics Part B 28(1) 1-14.
  14. Peng, Y. , Flach, P. A. 2001. Soft Discretization to Enhance the Continuous Decision Tree Induction, Integrating Aspects of Data Mining, Decision Support and Metalearning 109-118.
  15. Duda, R. O. , Hart, P. E. , Stork, D. G. 2001. Pattern Classification, second ed. , Wiley.
  16. Tou, J. T. , Gonzalez, R. C. 1974. Pattern Recognition Principles, Addition-Wesley, MA.
  17. Zadeh, L. A. 1965. Fuzzy sets, Inform. Control (8) 338–353.
  18. Kuncheva, L. I. 2000. Fuzzy Classifier Design, Springer, Berlin.
  19. Bdrdossy, A. , Duckstein, L. 1995. Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems, CRC Press, Boca Raton.
  20. Bezdek, J. C. , Pal, S. K. (Eds. ) 1992. Fuzzy Models for Pattern Recognition, Methods that Search for Structures in Data, IEEE Press, New York.
  21. Chi, Z. , Yan, H. , and Pham, T. 1996. Fuzzy algorithms with applications to image processing and pattern recognition, World Scientific, Singapore.
  22. Ghosh, A. , Meher, S. K. , Shankar B. U. 2008. A novel fuzzy classifier based on product aggregation operator, Pattern Recognition 41(3) 961-971.
  23. Fuzzy Logical Toolbox: pimf. Matlab Help 1984-2004. The Math Works, Inc.
  24. Card, D. H. 1982. Using known map category marginal frequencies to improve estimates of thematic map accuracy. Photogrammetric Engineering and Remote Sensing, 48(3) 431-439.
  25. Congalton, R. G. 1991. A review of assessing the accuracy of classifications of remotely sensed data, Remote Sensing of Environment 37(1), 35-46.
  26. Quinlan, J. R. 1993, C4. 5: Programs for Machine Learning, Morgan Kaufmann, San Mateo.
  27. UCI repository of machine learning databases, Department of Information and Computer Sciences, University of California, Irvine 1998. http://www. ics. uci. edu/?mlearn/MLRepository. htm.
Index Terms

Computer Science
Information Sciences

Keywords

Classification Fuzzy logic Aggregation operator ?-type membership function