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Combining Rule Weight Learning and Rule Selection to Obtain Simpler and More Accurate Linguistic Fuzzy Models

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2873))

Abstract

In complex multidimensional problems with a highly nonlinear input-output relation, inconsistent or redundant rules can be found in the fuzzy model rule base, which can result in a loss of accuracy and interpretability. Moreover, the rules could not cooperate in the best possible way.

It is known that the use of rule weights as a local tuning of linguistic rules, enables the linguistic fuzzy models to cope with inefficient and/or redundant rules and thereby enhances the robustness, flexibility and system modeling capability. On the other hand, rule selection performs a simplification of the previously identified fuzzy rule base, removing inefficient and/or redundant rules in order to improve the cooperation among them. Since both approaches are not isolated and they have complementary characteristics, they could be combined among them. In this work, we analyze the hybridization of both techniques to obtain simpler and more accurate linguistic fuzzy models.

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References

  1. Baker, J.E.: Reducing bias and inefficiency in the selection algorithm. In: Grefenstette, J.J. (ed.) Proceedings of the 2nd International Conference on Genetic Algorithms, Lawrence Erlbaum Associates, Hillsdale, NJ, USA, pp. 14–21 (1987)

    Google Scholar 

  2. Bastian, A.: How to handle the flexibility of linguistic variables with applications. International Journal of Uncertainty, Fuzziness and Knowlegde-Based Systems 2(4), 463–484 (1994)

    Article  MathSciNet  Google Scholar 

  3. Casillas, J., Cordón, O., Herrera, F.: COR: A methodology to improve ad hoc data-driven linguistic rule learning methods by inducing cooperation among rules. In: IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics, vol. 32(4), pp. 526–537 (2002)

    Google Scholar 

  4. Casillas, J., Cordón, O., Herrera, F., Magdalena, L.: Accuracy improvements to find the balance interpretability-accuracy in fuzzy modeling: an overview. In: Casillas, J., Cordón, O., Herrera, F., Magdalena, L. (eds.) Fuzzy modeling and the interpretability-accuracy trade-off. Part II, accuracy improvements preserving the interpretability, pp. 3–24. Physica-Verlag, Heidelberg (2002)

    Google Scholar 

  5. Chin, T.C., Qi, X.M.: Genetic algorithms for learning the rule base of fuzzy logic controller. Fuzzy Sets and Systems 97(1), 1–7 (1998)

    Article  Google Scholar 

  6. Chiu, S.: Fuzzy model identification based on cluster estimation. Journal of Intelligent and Fuzzy Systems 2, 267–278 (1994)

    Google Scholar 

  7. Cho, J.S., Park, D.J.: Novel fuzzy logic control based on weighting of partially inconsistent rules using neural network. Journal of Intelligent Fuzzy Systems 8, 99–110 (2000)

    Google Scholar 

  8. Combs, W.E., Andrews, J.E.: Combinatorial rule explosion eliminated by a fuzzy rule configuration. IEEE Transactions on Fuzzy Systems 6(1), 1–11 (1998)

    Article  Google Scholar 

  9. Cordón, O., Herrera, F.: A three-stage evolutionary process for learning descriptive and approximative fuzzy logic controller knowledge bases from examples. International Journal of Approximate Reasoning 17(4), 369–407 (1997)

    Article  MATH  Google Scholar 

  10. Cordón, O., Herrera, F.: A proposal for improving the accuracy of linguistic modeling. IEEE Transactions on Fuzzy Systems 8(4), 335–344 (2000)

    Article  Google Scholar 

  11. Cordón, O., Herrera, F., Peregrín, A.: Applicability of the fuzzy operators in the design of fuzzy logic controllers. Fuzzy Sets and Systems 86(1), 15–41 (1997)

    Article  MATH  Google Scholar 

  12. Cordón, O., Herrera, F., Sánchez, L.: Solving electrical distribution problems using hybrid evolutionary data analysis techniques. Applied Intelligence 10, 5–24 (1999)

    Article  Google Scholar 

  13. Cordón, O., del Jesús, M.J., Herrera, F.: Genetic learning of fuzzy rule-based classification systems cooperating with fuzzy reasoning methods. International Journal of Intelligent Systems 13(10-11), 1025–1053 (1998)

    Article  Google Scholar 

  14. Gómez-Skarmeta, A.F., Jiménez, F.: Fuzzy modeling with hybrid systems. Fuzzy Sets and Systems 104, 199–208 (1999)

    Article  Google Scholar 

  15. Halgamuge, S., Glesner, M.: Neural networks in designing fuzzy systems for real world applications. Fuzzy Sets and Systems 65(1), 1–12 (1994)

    Article  Google Scholar 

  16. Herrera, F., Lozano, M., Verdegay, J.L.: Tuning fuzzy logic controllers by genetic algorithms. International Journal of Approximate Reasoning 12, 299–315 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  17. Herrera, F., Lozano, M., Verdegay, J.L.: A learning process for fuzzy control rules using genetic algorithms. Fuzzy Sets and Systems 100, 143–158 (1998)

    Article  Google Scholar 

  18. Holland, J.H.: Adaptation in natural and artificial systems. Ann arbor: The University of Michigan Press (1975). The MIT Press, London (1992)

    Google Scholar 

  19. Ishibuchi, H., Nozaki, K., Yamamoto, N., Tanaka, H.: Selecting fuzzy if-then rules for classification problems using genetic algorithms. IEEE Transactions on Fuzzy Systems 9(3), 260–270 (1995)

    Article  Google Scholar 

  20. Ishibuchi, H., Murata, T., Türksen, I.B.: Single-objective and two-objective genetic algorithms for selecting linguistic rules for pattern classification problems. Fuzzy Sets and Systems 89, 135–150 (1997)

    Article  Google Scholar 

  21. Ishibuchi, H., Takashima, T.: Effect of rule weights in fuzzy rule-based classification systems. IEEE Transactions on Fuzzy Systems 3(3), 260–270 (2001)

    Article  Google Scholar 

  22. Krone, A., Krause, H., Slawinski, T.: A new rule reduction method for finding interpretable and small rule bases in high dimensional search spaces. In: Proceedings of the 9th IEEE International Conference on Fuzzy Systems, San Antonio, TX, USA , pp. 693–699 (2000)

    Google Scholar 

  23. Michalewicz, Z.: Genetic algorithms + data structures = evolution programs. Springer, Heidelberg (1996)

    MATH  Google Scholar 

  24. Nozaki, K., Ishibuchi, H., Tanaka, H.: A simple but powerful heuristic method for generating fuzzy rules from numerical data. Fuzzy Sets and Systems 86, 251–270 (1997)

    Article  Google Scholar 

  25. Pal, N.R., Pal, K.: Handling of inconsistent rules with an extended model of fuzzy reasoning. Journal of Intelligent Fuzzy Systems 7, 55–73 (1999)

    Google Scholar 

  26. Pardalos, P.M., Resende, M.G.C.: Handbook of applied optimization. Oxford University Press, NY (2002)

    MATH  Google Scholar 

  27. Roubos, H., Setnes, M.: Compact fuzzy models through complexity reduction and evolutionary optimization. In: Proceedings of the 9th IEEE International Conference on Fuzzy Systems, San Antonio, Texas, USA, vol. 2, pp. 762–767 (2000)

    Google Scholar 

  28. Rovatti, R., Guerrieri, R., Baccarani, G.: Fuzzy rules optimization and logic synthesis. In: Proceedings of the 2nd IEEE International Conference on Fuzzy Systems, San Francisco, USA, vol. 2, pp. 1247–1252 (1993)

    Google Scholar 

  29. Setnes, M., Babuska, R., Kaymak, U., van Nauta-Lemke, H.R.: Similarity measures in fuzzy rule base simplification. In: IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics, vol. 28, pp. 376–386 (1998)

    Google Scholar 

  30. Setnes, M., Hellendoorn, H.: Orthogonal transforms for ordering and reduction of fuzzy rules. In: Proceedings of the 9th IEEE International Conference on Fuzzy Systems, San Antonio, Texas, USA, vol. 2, pp. 700–705 (2000)

    Google Scholar 

  31. Thrift, P.: Fuzzy logic synthesis with genetic algorithms. In: Proceedings of the 4th International Conference on Genetic Algorithms (ICGA 1991), pp. 509–513. Morgan Kaufmann, San Francisco (1991)

    Google Scholar 

  32. Wang, L.X., Mendel, J.M.: Generating fuzzy rules by learning from examples. IEEE Transactions on Systems, Man, and Cybernetics 22, 1414–1427 (1992)

    Article  MathSciNet  Google Scholar 

  33. Yam, Y., Baranyi, P., Yang, C.T.: Reduction of fuzzy rule base via singular value decomposition. IEEE Transactions on Fuzzy Systems 7, 120–132 (1999)

    Article  Google Scholar 

  34. Yen, J., Wang, L.: Simplifying fuzzy rule-based models using orthogonal transformation methods. IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics 29, 13–24 (1999)

    Article  Google Scholar 

  35. Yu, W., Bien, Z.: Design of fuzzy logic controller with inconsistent rule base. Journal of Intelligent Fuzzy Systems 2, 147–159 (1994)

    Google Scholar 

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Alcalá, R., Cordón, O., Herrera, F. (2003). Combining Rule Weight Learning and Rule Selection to Obtain Simpler and More Accurate Linguistic Fuzzy Models. In: Lawry, J., Shanahan, J., L. Ralescu, A. (eds) Modelling with Words. Lecture Notes in Computer Science(), vol 2873. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39906-3_3

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  • DOI: https://doi.org/10.1007/978-3-540-39906-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20487-9

  • Online ISBN: 978-3-540-39906-3

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