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Automatic generation of fuzzy inference systems using heuristic possibilistic clustering

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Abstrakty
EN
The interpretability and flexibility of fuzzy classification rules make them a popular basis for fuzzy controllers. Fuzzy control methods constitute a part of the areas of automation and robotics. The paper deals with the method of extracting fuzzy classification rules based on a heuristic method of possibilistic clustering. The description of basic concepts of the heuristic method of possibilistic clustering based on the allotment concept is provided. A general plan of the D-AFC(c)-algorithm is also given. A method of constructing and tuning of fuzzy rules based on clustering results is proposed. An illustrative example of the method's application to the Anderson's Iris data is carried out. An analysis of the experimental results is given and preliminary conclusions are formulated.
Twórcy
  • Laboratory of Images Recognition and Processing, United Institute of Informatics Problems of the National Academy of Sciences of Belarus, Surganov St. 6, 220012 Minsk, Belarus, viattchenin@mail.ru
Bibliografia
  • [1] Mamdani E.H., Assilian S., “An experiment in linguistic synthesis with a fuzzy logic controller”, International Journal of Man-Machine Studies , vol. 7, 1975, pp. 1-13.
  • [2] Höppner F., Klawonn F., Kruse R., Runkler T., Fuzzy Cluster Analysis: Methods for Classification, Data Analysis and Image Recognition , Chichester: Wiley Intersciences, 1999.
  • [3] Krishnapuram R., Keller J.M., “A possibilistic approach to clustering”, IEEE Transactions on Fuzzy Systems , vol. 1, 1993, pp. 98-110.
  • [4] Sugeno M., Yasukawa T., “A fuzzy-logic-based approach to qualitative modeling“, IEEE Transactions on Fuzzy Systems, vol. 1, 1993, pp. 7-31.
  • [5] Viattchenin D.A., “A new heuristic algorithm of fuzzy clustering”, Control & Cybernetics, vol. 33, 2004, pp. 323-340.
  • [6] 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, pp. 29-38.
  • [7] Viattchenin D.A., “Outlines for a new approach to generating fuzzy classification rules through clustering techniques”, Proc. of the 10 th International Conference on Pattern Recognition and Information Processing PRIP'2009, Minsk, Belarus, 2009, pp. 82-87.
  • [8] Viattchenin D.A., “On possibilistic interpretation of membership values in fuzzy clustering method based on the allotment concept”, Proceedings of the Institute of Modern Knowledge , no. 3, 2008, pp. 85-90. (in Russian)
  • [9] 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, pp. 205-216. (in Russian)
  • [10] 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”, Journal of Information and Organizational Sciences , vol. 33, 2009, pp. 205-217.
  • [11] Kaufmann A., Introduction to the Theory of Fuzzy Subsets, New York: Academic Press, 1975.
  • [12] Viattchenin D.A., “Kinds of fuzzy #-clusters”, Proceedings of the Institute of Modern Knowledge , no. 4, 2008, pp. 95-101. (in Russian)
  • [13] Viattchenin D.A., “An outline for a heuristic approach to possibilistic clustering of the three-way data”, Journal of Uncertain Systems , vol. 3, 2009, pp. 64-80.
  • [14] Damaratski A., Novikau D., “On the computational accuracy of the heuristic method of possibilistic clustering”, Proc. of the 10 th International Conference on Pattern Recognition and Information Processing PRIP'2009 , Minsk, Belarus, 2009, pp. 78-81.
  • [15] Anderson E., “The irises of the Gaspe Peninsula”, Bulletin of the American Iris Society , vol. 59, 1935, pp. 2-5.
  • [16] Roubos H., Setnes M., “Compact and transparent fuzzy models and classifiers through iterative complexity reduction”, IEEE Transactions on Fuzzy Systems , vol. 9, 2001, pp. 516-524.
  • [17] Ishibuchi H., Nakashima T., Murata T., “Three-objective genetic-based machine learning for linguistic rule extraction”, Information Sciences , vol. 136, 2001, pp. 109-133.
  • [18] Abonyi J., Roubos J.A., Szeifert F., “Data-driven generation of compact, accurate and linguistically sound fuzzy classifiers based on a decision-tree initialization”, International Journal of Approximate Reasoning , vol. 32, 2003, pp. 1-21.
  • [19] Abe S., Thawonmas R., “A fuzzy classifier with ellipsoidal regions”, IEEE Transactions on Fuzzy Systems , vol. 5, 1997, pp. 516-524.
  • [20] Viattchenin D.A., Damaratski A. “Constructing of allotment among fuzzy clusters in case of quasi-robust cluster structure of set of objects”, Doklady BGUIR , no. 1, 2010, pp. 46-52. (in Russian)
  • [21] Viattchenin D.A., “A heuristic approach to possibilistic clustering for fuzzy data”, Journal of Information and Organizational Sciences , vol. 32, 2008, pp. 149-163.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0027-0044
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