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Type-2 hierarchical fuzzy system for high-dimensional data-based modeling with uncertainties

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Abstract

A type-2 hierarchical fuzzy system (T2HFS) is presented for the high-dimensional data-based modeling with uncertainties. Type-2 fuzzy logic system (T2FLS) is a powerful tool to handle uncertainties in complex processes. However, the operation of type-reduction has greatly increased the computational burden of T2FLSs. By integrating the T2FLS with hierarchical structure, a systematic design methodology of T2HFS is proposed to avoid the rule explosion and to simplify the computation complexity. The design methodology has included several procedures to establish the T2HFS. Firstly, the PCA-based method is developed to capture the prominent component from training data, and to determine the hierarchical structure of T2HFS. Furthermore, a novel clustering method is proposed to design the basic type-2 fuzzy logic unit (T2FLU) in uncertain environments. Finally, a hybrid-learning method is presented to fine-tune the parameters for the global optimization where the statistical and deterministic optimization methods are developed for the nominal and auxiliary performance, respectively. Simulation results have shown that the proposed T2HFS is very effective for the high-dimensional data-based modeling and control in uncertain environment.

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Acknowledgments

The authors would like to appreciate the Associate Editor and Reviewers for the constructive comments and suggestions. This work was supported by the National Natural Science Foundation of China under Project 60974047 and U1134004, Science and Technology Plan of Guangdong Province 2009B010900051, Science and Technology Plan of Guangzhou 2010Y1-C591, 2011Zhujiang New Star, FOK Ying Tung Education Foundation of China 121061, High-Level Professionals Project of Guangdong Province, the 973 Program of China 2011CB302801 and 2011CB013104, and Macau Science and Technology Development Fund grant number 008/2010/A1.

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Authors and Affiliations

  1. Department of Automation, Guangdong University of Technology, Guangzhou, China

    Zhi Liu & Yun Zhang

  2. Faculty of Science and Technology, University of Macau, Macao, China

    C. L. Philip Chen

  3. Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China

    Han-xiong Li

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  1. Zhi Liu
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  2. C. L. Philip Chen
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  3. Yun Zhang
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  4. Han-xiong Li
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Correspondence to Zhi Liu.

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Liu, Z., Chen, C.L.P., Zhang, Y. et al. Type-2 hierarchical fuzzy system for high-dimensional data-based modeling with uncertainties. Soft Comput 16, 1945–1957 (2012). https://doi.org/10.1007/s00500-012-0867-8

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