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Monotonic type-2 fuzzy neural network and its application to thermal comfort prediction

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Abstract

This paper studies the monotonic type-2 fuzzy neural network (T2FNN), which can be adopted in many identification and prediction problems where the monotonicity property between the inputs and outputs is required. Sufficient conditions on the parameters of the T2FNN are first presented to ensure the monotonicity between the inputs and outputs. Then, data-driven design model for the monotonic T2FNN is built. Also, under the monotonicity constraints, a hybrid algorithm is provided to optimize the parameters of the monotonic T2FNN. This hybrid algorithm utilizes the constrained least squares method and the penalty function-based gradient descent algorithm to realize reasonable parameter initialization and optimization. At last, an application to the thermal comfort index prediction is given to verify the effectiveness of the monotonic T2FNN. Comparisons with other methods are also made.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (61105077, 61273149, 61074149 and 61273326), and the Excellent Young and Middle-Aged Scientist Award Grant of Shandong Province of China (BS2012DX026).

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Authors and Affiliations

  1. School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, People’s Republic of China

    Chengdong Li, Ming Wang & Guiqing Zhang

  2. Institute of Automation, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Jianqiang Yi

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  1. Chengdong Li
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  2. Jianqiang Yi
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  3. Ming Wang
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  4. Guiqing Zhang
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Correspondence to Chengdong Li.

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Li, C., Yi, J., Wang, M. et al. Monotonic type-2 fuzzy neural network and its application to thermal comfort prediction. Neural Comput & Applic 23, 1987–1998 (2013). https://doi.org/10.1007/s00521-012-1140-x

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