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Soft Sensor Modeling of Self-Organizing Interval Type-2 Fuzzy Neural Network Based on Adaptive Quantum-Behaved Particle Swarm Optimization Algorithm

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Abstract

In this study, a self-organizing interval type-2 fuzzy neural network (SOIT2FNN) based on the Adaptive Quantum-behaved Particle Swarm Optimization (AQPSO) algorithm is proposed as a solution to the soft sensor modeling problem of effluent total phosphorus in the wastewater treatment process. An AQPSO algorithm is proposed to train and optimize the SOIT2FNN soft sensor model's structure and parameters in order to improve forecasting accuracy. Firstly the number of rules and parameters of SOIT2FNN are mapped to the spatial position of each particle of AQPSO, which is convenient for the parameter and structure optimization of the network model. The weighted average optimal position and the adaptive shrinkage coefficient are introduced in order to enhance the global search ability of PSO and ensure the robustness and convergence of the algorithm during the optimization process. By dynamically adjusting the network structure, the network size of each particle approximates the network size of an ideal particle, thereby improving the search efficiency and optimization results of the model. Finally, the proposed AQPSO-SOIT2FNN was applied to the Mackey–Glass chaotic time series prediction and soft sensor modeling of total phosphorus in wastewater treatment effluent. The results of the experiments show that the proposed AQPSO-SOIT2FNN is capable of producing a relatively compact network topology with high identification and prediction accuracy. address uncertainty satisfactorily, which is computationally more implementable.

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Funding

This study was supported by the Research Initiation Fund Project of Liaoning Petrochemical University (Grant No. 2019XJJL-017).

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Authors and Affiliations

  1. School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, 113001, China

    Panchao Wang, Taoyan Zhao & Jiangtao Cao

  2. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, 114051, China

    Ping Li

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  1. Panchao Wang
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  2. Taoyan Zhao
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Correspondence to Taoyan Zhao.

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Wang, P., Zhao, T., Cao, J. et al. Soft Sensor Modeling of Self-Organizing Interval Type-2 Fuzzy Neural Network Based on Adaptive Quantum-Behaved Particle Swarm Optimization Algorithm. Int. J. Fuzzy Syst. (2024). https://doi.org/10.1007/s40815-024-01701-7

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