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Learning Fuzzy Cognitive Maps Using a Genetic Algorithm with Decision-Making Trial and Evaluation

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Abstract

Fuzzy cognitive maps (FCMs) are inference networks, which are the combination of fuzzy logic and neural networks. Various evolutionary-based learning algorithms have been proposed to learn FCMs. However, evolutionary algorithms have shortcomings, such as easy to become premature and the local search ability is weak where the search may trap into local optima. Decision-making trial and evaluation laboratory (DEMATEL) has been widely accepted as one of the best tools to analyze the causal and effect relationships between concepts. Therefore, we combine real-coded genetic algorithm (RCGA) with DEMATEL method, termed as RCGADEMATEL-FCM, to learn FCM models. In RCGADEMATEL-FCM, the DEMATEL method is used as a directed neighborhood search operator to steer the search to the right direction in the objective space, which can overcome the premature problem and make the search jump out of the local optimum. Experimental results on both synthetic and real life data demonstrate the efficiency of the proposed algorithm. The comparison with existing learning algorithms shows that RCGADEMATEL-FCM can learn FCMs with higher accuracy without expert knowledge.

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References

  1. Kosko, B.: Fuzzy cognitive maps. Int. J. Hum.-Comput. Stud. Int. J. Man-Mach. Stud. 24, 65–75 (1986)

    Article  MATH  Google Scholar 

  2. Froelich, W., Pedrycz, W.: Fuzzy cognitive maps in the modeling of granular time series. Knowl.-Based Syst. 115, 110–122 (2017)

    Article  Google Scholar 

  3. Pedrycz, W., Jastrzebska, A., Homenda, W.: Design of fuzzy cognitive maps for modeling time series. IEEE Trans. Fuzzy Syst. 24(1), 120–130 (2016)

    Article  Google Scholar 

  4. Papageorgiou, E.I., Poczeta, K., Laspidou, C.: Application of fuzzy cognitive maps to water demand prediction. In: IEEE International Conference on Fuzzy Systems, pp. 1–8 (2015)

    Google Scholar 

  5. Papageorgiou, E.I.: Learning algorithms for fuzzy cognitive maps - a review study. IEEE Trans. Syst. Man Cybern. 42(2), 150–163 (2012)

    Article  Google Scholar 

  6. Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Fuzzy cognitive map learning based on nonlinear Hebbian rule. In: Proceedings of Australian Conference on Artificial Intelligence, pp. 256–268 (2003)

    Google Scholar 

  7. Stach, W., Kurgan, L.A., Pedrycz, W.: Data-driven nonlinear Hebbian learning method for fuzzy cognitive maps. In: Proceedings of World Congress on Computational Intelligence, pp. 1975–1981 (2008)

    Google Scholar 

  8. Stach, W., Kurgan, L., Pedrycz, W., Reformat, M.: Genetic learning of fuzzy cognitive maps. Fuzzy Sets Syst. 153(3), 371–401 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  9. Stach, W., Kurgan, L., Pedrycz, W.: A divide and conquer method for learning large fuzzy cognitive maps. Fuzzy Sets Syst. 161(19), 2515–2532 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Papageorgiou, E.I., Groumpos, P.P.: Optimization of fuzzy cognitive map model in clinical radiotherapy through the differential evolution algorithm. Biomed. Soft Comput. Hum. Sci. 9(2), 25–31 (2004)

    Google Scholar 

  11. Chen, Y., Mazlack, L.J., Lu, L.J.: Learning fuzzy cognitive maps from data by ant colony optimization. In: Proceedings of Genetic and Evolutionary Computation Conference, 9–16 (2012)

    Google Scholar 

  12. Chen, Y., Mazlack, L.J., Lu, L.J.: Inferring fuzzy cognitive map models for gene regulatory networks from gene expression data. In: IEEE International Conference on Bioinformatics and Biomedicine, pp. 1–4 (2012)

    Google Scholar 

  13. Yesil, E., Dodurka, M.F.: Goal-oriented decision support using big bang-big crunch learning based fuzzy congnitive map: an ERP management case study. In: Proceedings of IEEE International Conference on Fuzzy Systems (2013)

    Google Scholar 

  14. Liu, J., Chi, Y., Zhu, C.: A dynamic multi-agent genetic algorithm for gene regulatory network reconstruction based on fuzzy cognitive maps. IEEE Trans. Fuzzy Syst. 24(2), 419–431 (2016)

    Article  Google Scholar 

  15. Chi, Y., Liu, J.: Learning of fuzzy cognitive maps with varying densities using a multi-objective evolutionary algorithm. IEEE Trans. Fuzzy Syst. 24(1), 71–81 (2016)

    Article  Google Scholar 

  16. Chi, Y., Liu, J.: Reconstruction gene regulatory network with a memetic-neural hybrid based on fuzzy cognitive maps. Nat. Comput. 1–12 (2016)

    Google Scholar 

  17. Zhu, Y., Zhang, W.: An integrated framework for learning fuzzy cognitive map using RCGA and NHL algorithm. In: Proceedings of the International Conference on Wireless Communications, Networking and Mobile Computing, pp. 10773–11195 (2008)

    Google Scholar 

  18. Ren, Z.: Learning fuzzy cognitive maps by a hybrid method using nonlinear Hebbian learning and extended great deluge. In: Proceedings of the 23rd Midwest Artificial Intelligence and Cognitive Science Conference (2012)

    Google Scholar 

  19. Gabus, A., Fontela, E.: DEMATEL: progress achieved. Futures 6, 329–333 (1974)

    Article  Google Scholar 

  20. Alizadeh, S., Ghazanfari, M., Fathian, M.: Using data mining for learning and clustering FCM. Int. J. Comput. Electr. Autom. Control Inf. Eng. 2(6), 118–125 (2008)

    Google Scholar 

  21. Zhao, X., Gao, X., Hu, Z.: Evolutionary programming based on non-uniform mutation. Appl. Math. Comput. 192(1), 1–11 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work is partially supported by the Outstanding Young Scholar Program of National Natural Science Foundation of China (NSFC) under Grant 61522311, the Overseas, Hong Kong & Macao Scholars Collaborated Research Program of NSFC under Grant 61528205, and the Key Program of Fundamental Research Project of Natural Science of Shaanxi Province, China under Grant 2017JZ017.

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Correspondence to Jing Liu .

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Zou, X., Liu, J. (2017). Learning Fuzzy Cognitive Maps Using a Genetic Algorithm with Decision-Making Trial and Evaluation. In: Shi, Y., et al. Simulated Evolution and Learning. SEAL 2017. Lecture Notes in Computer Science(), vol 10593. Springer, Cham. https://doi.org/10.1007/978-3-319-68759-9_69

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  • DOI: https://doi.org/10.1007/978-3-319-68759-9_69

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68758-2

  • Online ISBN: 978-3-319-68759-9

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