Abstract
Fuzzy Cognitive Maps (FCMs), first introduced by Kosko, are graph-based knowledge representation tools. In order to improve the efficiency, robustness and accuracy of FCMs, different learning approaches and algorithms have been introduced in the literature. The algorithms aim to revise the initial knowledge of experts and/or extract useful knowledge from historical records in order to yield learned weights. One considerable drawback of FCM is that, in its original form, it often yields the same output under different initial conditions. Since the results of the learning algorithms are highly dependent on the reasoning mechanism (i.e. updating function) of FCMs, this drawback also affects the performance and accuracy of these algorithms. Therefore, problems including (conflicting) multiple initial vectors, multiple weight matrices and multiple desired final state vectors have received only limited attention. In order to address this issue and provide a better modeling framework for this type of problems, a compromise-based new fuzzy cognitive mapping approach based on particle swarm optimization is suggested. To justify the effectiveness and applicability of the proposed approach, an illustrative example is provided.
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References
Kosko, B.: Fuzzy cognitive maps. Int. J. Man Mach. Stud. 24, 65ā75 (1986)
Papageorgiou, E.I.: Learning algorithms for fuzzy cognitive mapsāa review study. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 42, 150ā163 (2011)
Salmeron, J.L., Mansouri, T., Moghadam, M.R.S., Mardani, A.: Learning fuzzy cognitive maps with modified asexual reproduction optimisation algorithm. Knowl. Based Syst. 163, 723ā735 (2019)
Felix, G., NĆ”poles, G., Falcon, R., Froelich, W., Vanhoof, K., Bello, R.: A review on methods and software for fuzzy cognitive maps. Artif. Intell. Rev. 52, 1707ā1737 (2019)
Asan, U., Kadaifci, C.: An improved fuzzy cognitive mapping method. In: International Conference on Intelligent and Fuzzy Systems, pp. 115ā122. Springer, Cham (2019)
Asan, U., KadaifƧi, Ć.: A new product positioning approach based on fuzzy cognitive mapping. J. Fac. Eng. Archit. Gazi Univ. 35, 1047ā1061 (2020)
NĆ”poles, G., Bello, R., Vanhoof, K.: How to improve the convergence on sigmoid fuzzy cognitive maps? Intell. Data Anal. 18, S77āS88 (2014)
NĆ”poles, G., Salmeron, J.L., Froelich, W., Falcon, R., Espinosa, M.L., Vanhoenshoven, F., Bello, R., Vanhoof, K.: Fuzzy cognitive modeling: theoretical and practical considerations. In: Intelligent Decision Technologies 2019, pp. 77ā87. Springer, Singapore (2020)
Stylios, C.D., Groumpos, P.P.: Modeling complex systems using fuzzy cognitive maps. IEEE Trans. Syst. Man Cybern. A Syst. Humans 34, 155ā162 (2004)
Kosko, B.: Hidden patterns in combined and adaptive knowledge networks. Int. J. Approx. Reason. 2, 377ā393 (1988)
Li, L., Liu, F.: Group Search Optimization for Applications in Structural Design. Springer, Heidelberg (2011)
Parsopoulos, K.E., Papageorgiou, E.I., Groumpos, P.P., Vrahatis, M.N.: A first study of fuzzy cognitive maps learning using particle swarm optimization. In: The 2003 Congress on Evolutionary Computation, 2003. CEC 2003, pp. 1440ā1447. IEEE (2003)
Parsopoulos, K.E., Papageorgiou, E.I., Groumpos, P.P., Vrahatis, M.N.: Evolutionary computation techniques for optimizing fuzzy cognitive maps in radiation therapy systems. In: Genetic and Evolutionary Computation Conference, pp. 402ā413. Springer, Heidelberg (2004)
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Murat, M., Asan, U. (2021). A Compromise-Based New Approach to Learning Fuzzy Cognitive Maps. In: Kahraman, C., Cevik Onar, S., Oztaysi, B., Sari, I., Cebi, S., Tolga, A. (eds) Intelligent and Fuzzy Techniques: Smart and Innovative Solutions. INFUS 2020. Advances in Intelligent Systems and Computing, vol 1197. Springer, Cham. https://doi.org/10.1007/978-3-030-51156-2_137
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