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A fuzzy set based solution method for multiobjective optimal design problem of mechanical and structural systems using functional-link net

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Abstract

The principle of solving multiobjective optimization problems with fuzzy sets theory is studied. Membership function is the key to introduce the fuzzy sets theory to multiobjective optimization. However, it is difficult to determine membership functions in engineering applications. On the basis of rapid quadratic optimization in the learning of weights, simplification in hardware as well as in computational procedures of functional-link net, discrete membership functions are used as sample training data. When the network converges, the continuous membership functions implemented with the network. Membership functions based on functional-link net have been used in multiobjective optimization. An example is given to illustrate the method.

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Acknowledgements

This research was partially supported by the National Natural Science Foundation of China under the contract number 50175010, the National Excellent Doctoral Dissertation Special Foundation of China under the contract number 200232, and the Natural Sciences and Engineering Research Council of Canada. Constructive suggestions and comments from the referees and editors are very much appreciated.

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Authors and Affiliations

  1. School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Hong-Zhong Huang

  2. School of Mechanical Engineering, Heilongjiang Institute of Science and Technology, Harbin, 150027, China

    Weidong Wu & Chunsheng Liu

  3. School of Automation, Chongqing University of Posts and Telecommunication, Chongqing, 400065, China

    Ping Wang

  4. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2G8

    Ming J. Zuo

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  1. Hong-Zhong Huang
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  2. Ping Wang
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  3. Ming J. Zuo
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  4. Weidong Wu
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  5. Chunsheng Liu
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Correspondence to Hong-Zhong Huang.

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Huang, HZ., Wang, P., Zuo, M.J. et al. A fuzzy set based solution method for multiobjective optimal design problem of mechanical and structural systems using functional-link net. Neural Comput & Applic 15, 239–244 (2006). https://doi.org/10.1007/s00521-006-0025-2

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  • DOI: https://doi.org/10.1007/s00521-006-0025-2

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