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Abstract

Fuzzy IF-Then rules as universal approximator very frequently are used for linguistic modelling of real-world complex system. This type of models is characterized mainly two contradictory requirements: Interpretability and accuracy. Unfortunately, researchers in existing works usually focused on the accuracy of the models without paying attention to their interpretability. However, very important problem in developing of fuzzy If-Then rule base is to achieve the best trade-off between interpretability and accuracy. In this paper, we will consider the problem of investigation of trade-off between complexity and semantic-based interpretability and accuracy of fuzzy If-Then knowledge base. The proposed approach is related with differential evolutionary optimization-based multicriteria decision-making problem. Numerical example related to the multi-criterial optimization problem is given.

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Huseynov, O.H., Adilova, N.E. (2021). Multi-criterial Optimization Problem for Fuzzy If-Then Rules. In: Aliev, R.A., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Babanli, M., Sadikoglu, F.M. (eds) 14th International Conference on Theory and Application of Fuzzy Systems and Soft Computing – ICAFS-2020 . ICAFS 2020. Advances in Intelligent Systems and Computing, vol 1306. Springer, Cham. https://doi.org/10.1007/978-3-030-64058-3_10

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