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Multi-objective Evolutionary Fuzzy Systems

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Fuzzy Logic and Applications (WILF 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6857))

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Abstract

Several methods have been proposed to automatically generate fuzzy rule-based systems (FRBSs) from data. At the beginning, the unique objective of these methods was to maximize the accuracy with the result of often neglecting the most distinctive feature of the FRBSs, namely their interpretability. Thus, in the last years, the automatic generation of FRBSs from data has been handled as a multi-objective optimization problem, with accuracy and interpretability as objectives. Multi-objective evolutionary algorithms (MOEAs) have been so often used in this context that the FRBSs generated by exploiting MOEAs have been denoted as multi-objective evolutionary fuzzy systems. In this paper, we introduce a taxonomy of the different approaches which have been proposed in this framework. For each node of the taxonomy, we describe the relevant works pointing out the most interesting features. Finally, we highlight current trends and future directions.

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References

  1. Guillaume, S.: Designing fuzzy inference systems from data: An interpretability-oriented review. IEEE Trans. Fuzzy Syst. 9(3), 426–443 (2001)

    Article  MathSciNet  Google Scholar 

  2. Herrera, F.: Genetic fuzzy systems: taxonomy, current research trends and prospects. Evolutionary Intelligence 1, 27–46 (2008)

    Article  Google Scholar 

  3. Mencar, C., Fanelli, A.M.: Interpretability constraints for fuzzy information granulation. Information Sciences 178, 4585–4618 (2008)

    Article  MathSciNet  Google Scholar 

  4. de Oliveira, J.V.: Semantic constraints for membership function optimization. IEEE Trans. Syst. Man. Cybern. Part A 29(1), 128–138 (1999)

    Article  Google Scholar 

  5. Zhou, S.M., Gan, J.Q.: Low-level interpretability and high-level interpretability: a unified view of data-driven interpretable fuzzy system modeling. Fuzzy Sets and Systems 159, 3091–3131 (2008)

    Article  MathSciNet  Google Scholar 

  6. Alonso, J.M., Magdalena, L., Gonzalez-Rodriguez, G.: Looking for a good fuzzy system interpretability index: An experimental approach. Int. J. Approx. Reason. 51, 115–134 (2009)

    Article  MathSciNet  Google Scholar 

  7. Gacto, M.J., Alcalá, R., Herrera, F.: Interpretability of linguistic fuzzy rule-based systems: An overview of interpretability measures. Information Sciences (2011) (in press)

    Google Scholar 

  8. Wang, L.X., Mendel, J.M.: Generating fuzzy rules by learning from examples. IEEE Trans. Syst. Man. Cybern. 22(6), 1414–1427 (1992)

    Article  MathSciNet  Google Scholar 

  9. Botta, A., Lazzerini, B., Marcelloni, F., Stefanescu, D.: Context adaptation of fuzzy systems through a multiobjective evolutionary approach based on a novel interpretability index. Soft Comput 13(5), 437–449 (2009)

    Article  Google Scholar 

  10. Coello, C., Lamont, G., Van Veldhuizen, D.: Evolutionary algorithms for solving multi-objective problems. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  11. Alcala, R., Gacto, M.J., Herrera, F.: A fast and scalable multi-objective genetic fuzzy system for linguistic fuzzy modeling in high-dimensional regression problems. IEEE Trans. Fuzzy Syst. (in press) doi:10.1109/TFUZZ.2011.2131657

    Google Scholar 

  12. Ishibuchi, H., Murata, T., Turksen, I.B.: Single-objective and two objective genetic algorithms for selecting linguistic rules for pattern classification problems. Fuzzy Sets and Systems 89(2), 135–150 (1997)

    Article  Google Scholar 

  13. Ishibuchi, H., Yamamoto, T.: Fuzzy rule selection by multi-objective genetic local search algorithms and rule evaluation measures in data mining. Fuzzy Sets and Systems 141, 59–88 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  14. Antonelli, M., Ducange, P., Lazzerini, B., Marcelloni, F.: Multi-objective evolutionary generation of Mamdani fuzzy rule-based systems based on rule and condition selection. In: Proc. of the 5th IEEE GEFS 2011, Paris (France), April 11 - 15, pp. 47–53 (2011)

    Google Scholar 

  15. Alcalá, R., Gacto, M.J., Herrera, F., Alcalá-Fdez, J.: A multi-objective genetic algorithm for tuning and rule selection to obtain accurate and compact linguistic fuzzy rule-based systems. Int. J. Uncertainty, Fuzziness Knowl.-Based Syst. 15(5), 539–557 (2007)

    Article  MATH  Google Scholar 

  16. Gacto, M.J., Alcalá, R., Herrera, F.: Adaptation and application of multi-objective evolutionary algorithms for rule reduction and parameter tuning of fuzzy rule-based systems. Soft Computing 13(5), 419–436 (2009)

    Article  Google Scholar 

  17. Gacto, M.J., Alcalá, R., Herrera, F.: Integration of an index to preserve the semantic interpretability in the multi-objective evolutionary rule selection and tuning of linguistic fuzzy systems. IEEE Trans. Fuzzy Syst. 18(3), 515–531 (2010)

    Article  Google Scholar 

  18. Alcala, R., Nojima, Y., Herrera, F., Ishibuchi, H.: Multiobjective genetic fuzzy rule selection of single granularity-based fuzzy classification rules and its interaction with the lateral tuning of membership functions. Soft Computing (in press) doi: 10.1007/s00500-010-0671-2

    Google Scholar 

  19. Alcalá, R., Alcalá-Fdez, J., Herrera, F.: A proposal for the genetic lateral tuning of linguistic fuzzy systems and its interaction with rule selection. IEEE Trans. Fuzzy Syst. 15(4), 615–635 (2007)

    Article  MATH  Google Scholar 

  20. Cococcioni, M., Ducange, P., Lazzerini, B., Marcelloni, F.: A Pareto-based multi-objective evolutionary approach to the identification of Mamdani fuzzy systems. Soft Computing 11(11), 1013–1031 (2007)

    Article  Google Scholar 

  21. Ducange, P., Lazzerini, B., Marcelloni, F.: Multi-objective genetic fuzzy classifiers for imbalanced and cost-sensitive datasets. Soft Computing 14(10), 713–728 (2010)

    Article  Google Scholar 

  22. Casillas, J., Martnez, P., Bentez, A.D.: Learning consistent, complete and compact sets of fuzzy rules in conjunctive normal form for regression problems. Soft Computing 13(5), 451–465 (2009)

    Article  Google Scholar 

  23. Ishibuchi, H., Nojima, Y.: Analysis of interpretability-accuracy tradeoff of fuzzy systems by multiobjective fuzzy genetics-based machine learning, Internat. J. Approx. Reason. 44(1), 4–31 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  24. Alcalá, R., Ducange, P., Herrera, F., Lazzerini, B., Marcelloni, F.: A multi-objective evolutionary approach to concurrently learn rule and data bases of linguistic fuzzy rule-based systems. IEEE Trans. Fuzzy Syst. 17(5), 1106–1122 (2009)

    Article  Google Scholar 

  25. Antonelli, M., Ducange, P., Lazzerini, B., Marcelloni, F.: Learning concurrently partition granularities and rule bases of Mamdani fuzzy systems in a multi-objective evolutionary framework. Int. J. Approx. Reason. 50(7), 1066–1080 (2009)

    Article  Google Scholar 

  26. Antonelli, M., Ducange, P., Lazzerini, B., Marcelloni, F.: Multi-objective evolutionary learning of granularity, membership function parameters and rules of Mamdani fuzzy systems. Evolutionary Intelligence 2(1-2), 21–37 (2009)

    Article  Google Scholar 

  27. Pulkkinen, P., Koivisto, H.: A dynamically constrained multiobjective genetic fuzzy system for regression problems. IEEE Trans. Fuzzy. Syst. 18(1), 161–177 (2010)

    Article  Google Scholar 

  28. Antonelli, M., Ducange, P., Marcelloni, F.: Exploiting a coevolutionary approach to concurrently select training instances and learn rule bases of Mamdani fuzzy systems. In: Proc. of the IEEE World Congress on Computational Intelligence, Barcelona (Spain), July 18–23, pp. 1366–1372 (2010)

    Google Scholar 

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Ducange, P., Marcelloni, F. (2011). Multi-objective Evolutionary Fuzzy Systems. In: Fanelli, A.M., Pedrycz, W., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2011. Lecture Notes in Computer Science(), vol 6857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23713-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-23713-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23712-6

  • Online ISBN: 978-3-642-23713-3

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