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Different Proposals to Improve the Accuracy of Fuzzy Linguistic Modeling

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Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 553))

Abstract

Nowadays, Linguistic Modeling is considered as one of the most important applications of Fuzzy Set Theory, along with Fuzzy Control. Linguistic models have the advantage of providing a human-readable description of the system modeled in the form of a set of linguistic rules. In this contribution, we will analyze several approaches to improve the accuracy of linguistic models while maintaining their descriptive power. All these approaches will share the common idea of improving the way in which the Fuzzy Rule-Based System performs interpolative reasoning by improving the cooperation between the rules in the linguistic model Knowledge Base.

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References

  1. Aarts, E.H.L., Simulated Annealing and Boltzman Machines: A Stochastic Approach to Combinatorial Optimization and Neural Computing, John Wiley & Sons, 1989.

    Google Scholar 

  2. Abe, S., Thawonmas, R., “A Fuzzy Classifier with Ellipsoidal Regions,” IEEE Transactions on Fuzzy Systems, Volume 5, No. 3, 1997, pp. 358–368.

    Article  Google Scholar 

  3. Alcalá, R., Casillas, J., Cordón, O., Herrera, F., “Approximate Mamdani-type Fuzzy Rule-Based Systems,” Technical Report #DECSAI-990117, Dept. of Computer Science and A.I., University of Granada, October 1999.

    Google Scholar 

  4. Alcalá, R., Casillas, J., Cordón, O., Herrera, F., Zwir, L, “Techniques for Learning and Tuning Fuzzy Rule-Based Systems for Linguistic Modeling and Their Application,” in: C.T. Leondes (ed.), Knowledge Engineering. Systems, Techniques and Applications, Academic Press, 1999.

    Google Scholar 

  5. Bardossy, A., Duckstein, L., Fuzzy Rule-Based Modeling With Application to Geophysical, Biological and Engineering Systems, CRC Press, 1995.

    Google Scholar 

  6. Bastian, A., “How to Handle the Flexibility of Linguistic Variables with Applications,” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Volume 2, No. 4, 1994, pp. 463–484.

    Article  MathSciNet  MATH  Google Scholar 

  7. Carse, B., Fogarty, T.C., Munro, A., “Evolving Fuzzy Rule Based Controllers using Genetic Algorithms,” Fuzzy Sets and Systems, Volume 80, 1996, pp. 273–293.

    Article  Google Scholar 

  8. Chi, Z., Wu, J., Yan, H., “Handwritten Numeral Recognition Using Self-organizing Maps and Fuzzy Rules,” Pattern Recognition, Volume 28, No. 1, 1995, pp. 59–66.

    Article  Google Scholar 

  9. Cordón, O., Herrera, F., Peregrin, A., “Applicability of the Fuzzy Operators in the Design of Fuzzy Logic Controllers,” Fuzzy Sets and Systems, Volume 86, 1997, pp. 15–41.

    Article  MATH  Google Scholar 

  10. 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, Volume 17, No. 4, 1997, pp. 369–407.

    Article  MATH  Google Scholar 

  11. Cordón, O., del Jesus, M.J., Herrera, F., “Genetic Learning of Fuzzy Rule-based Classification Systems Cooperating with Fuzzy Reasoning Methods,” International Journal of Intelligent Systems, Volume 13, No. 10-11, 1998, pp. 1025–1053.

    Article  Google Scholar 

  12. Cordón, O., Herrera, F., “A Proposal for Improving the Accuracy of Linguistic Modeling,” Technical Report #DECSAI-980113, Dept. of Computer Science and A.I., University of Granada, May 1998.

    Google Scholar 

  13. Cordón, O., Herrera, F., “ALM: A Methodology to Design Accurate Linguistic Models for Intelligent Data Analysis,” Third Intelligent Data Analysis Conference (IDA’99), L.N.C.S. 1642, Amsterdam, Holland, 1999, pp. 15–26.

    Google Scholar 

  14. Cordón, O., del Jesus, M.J., Herrera, F., “A Proposal on Reasoning Methods in Fuzzy Rule-based Classification Systems,” International Journal of Approximate Reasoning, Volume 20, 1999, pp. 21–45.

    Google Scholar 

  15. Cordón, O., Herrera, F., Sánchez, A., “Solving Electrical Distribution Problems Using Hybrid Evolutionary Data Analysis Techniques,” Applied Intelligence, Volume 10, 1999, pp. 5–24.

    Article  Google Scholar 

  16. Cordón, O., Herrera, F., Villar, P., “Influence of Fuzzy Partition Granularity on Fuzzy Rule-Based System Behaviour”, EUSFLAT-ESTYLF Joint Conference, Palma de Mallorca, Spain, 1999, pp. 159–162.

    Google Scholar 

  17. Cordón, O., Herrera, F., Villar, P., “Analysis and Guidelines to Obtain a Good Uniform Fuzzy Partition Granularity for Fuzzy Rule-Based Systems using Simulated Annealing,” Technical Report #DECSAI-990116, Dept. of Computer Science and A.I., University of Granada, September 1999.

    Google Scholar 

  18. Cordón, O., Herrera, F., Zwir, L, “Linguistic Modeling by Hierarchical Systems of Linguistic Rules,” Technical Report #DECSAI-990114, Dept. of Computer Science and A.I., University of Granada, July, 1999.

    Google Scholar 

  19. Cordón, O., Herrera, F., “Hybridizing Genetic Algorithms with Sharing Scheme and Evolution Strategies for Designing Approximate Fuzzy Rule-Based Systems,” Fuzzy Sets and Systems, Volume 111, No. 3, 2000.

    Google Scholar 

  20. Goldberg, D.E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, 1989.

    Google Scholar 

  21. González, A., Pérez, R., “Completeness and Consistency Conditions for Learning Fuzzy Rules,” Fuzzy Sets and Systems, Volume 96, 1998, pp. 37–51.

    Article  MathSciNet  Google Scholar 

  22. Herrera, F., Lozano, M., Verdegay, J.L., “Tuning Fuzzy Controllers by Genetic Algorithms,” International Journal of Approximate Reasoning, Volume 12, 1995, pp. 299–315.

    Article  MathSciNet  MATH  Google Scholar 

  23. Herrera, F., Lozano, M., Verdegay, J.L., “Fuzzy Connectives Based Crossover Operators to Model Genetic Algorithms Population Diversity,” Fuzzy Sets and Systems, Volume 92, No. 1, 1997, pp. 21–30.

    Article  Google Scholar 

  24. Ishibuchi, H., Nozaki, K., Tanaka, H., “Distributed Representation of Fuzzy Rules and Its Application to Pattern Classification,” Fuzzy Sets and Systems, Volume 52, 1992, pp. 21–32.

    Article  Google Scholar 

  25. Ishibuchi, H., Nozaki, K., Yamamoto, N., Tanaka, H., “Selecting Fuzzy If-then Rules for Classification Problems Using Genetic Algorithms,” IEEE Transactions on Fuzzy Systems, Volume 3, No. 3, 1995, pp. 260–270.

    Article  Google Scholar 

  26. Mandai, D.P., Murthy, CA., Pal, S.K., “Formulation of a Multivalued Recognition System,” IEEE Transactions on Systems, Man, and Cybernetics, Volume 22, No. 4, 1992, pp. 607–620.

    Article  Google Scholar 

  27. Michalewicz, Z., Genetic Algorithms + Data Structures — Evolution Programs, Third edition, Springer-Verlag, 1996.

    Google Scholar 

  28. Pedrycz, W. (Ed.), Fuzzy Modelling: Paradigms and Practice, Kluwer Academic Press, 1996.

    Google Scholar 

  29. Sugeno, M., Yasukawa, T., “A Fuzzy-logic-based Approach to Qualitative Modeling,” IEEE Transactions on Fuzzy Systems, Volume 1, No. 1, 1993, pp. 7–31.

    Article  Google Scholar 

  30. Wang, L.X., Mendel, J.M., “Generating Fuzzy Rules by Learning from Examples,” IEEE Transactions on Systems, Man, and Cybernetics, Volume 22, 1992, pp. 1414–1427.

    Article  MathSciNet  Google Scholar 

  31. Wang, L.X., Adaptive Fuzzy Systems and Control, Prentice-Hall, 1994.

    Google Scholar 

  32. Weiss. S.M., Kulikowski, CA., Computer Systems that Learn, Morgan Kaufmann Publishers, 1991.

    Google Scholar 

  33. Zadeh, L.A., “Outline of a New Approach to the Analysis of Complex Systems and Decision Processes,” IEEE Transactions on Systems, Man, and Cybernetics, Volume 3, No. 1, 1973, pp. 28–44.

    Article  MathSciNet  MATH  Google Scholar 

  34. Zadeh, L.A., “The Concept of a Linguistic Variable and its Application to Aproximate Reasoning,” Information Science, Part I: Volume 8, 1975, pp. 199–249, Part II: Volume 8, 1975, pp. 301-357, Part III: Volume 9, 1975, pp. 43-80.

    Article  MathSciNet  MATH  Google Scholar 

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Cordón, O., Herrera, F., del Jesus, M.J., Villar, P., Zwir, I. (2000). Different Proposals to Improve the Accuracy of Fuzzy Linguistic Modeling. In: Ruan, D., Kerre, E.E. (eds) Fuzzy If-Then Rules in Computational Intelligence. The Springer International Series in Engineering and Computer Science, vol 553. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4513-2_9

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  • DOI: https://doi.org/10.1007/978-1-4615-4513-2_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7035-2

  • Online ISBN: 978-1-4615-4513-2

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