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A novel table look-up scheme based on GFScom and its application

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Abstract

This work considers Mamdani fuzzy systems constructed from finite input–output data pairs using the generalized fuzzy sets with contradictory, opposite and medium negation (GFScom). Considering that the information available often consists of a set of finite numerical data pairs, a new table look-up scheme for constructing Mamdani fuzzy systems is presented. The designed fuzzy system is proved to be capable of approximating any real continuous function on a compact set to arbitrary degree of accuracy. We use this fuzzy modeling method for the truck back-upper control problem. The effectiveness of the proposed method is demonstrated by a comparison with the traditional table look-up scheme.

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Acknowledgments

This research was partially supported by the Natural Science Foundation of China (Grant No. 11271237), the Higher School Doctoral Subject Foundation of Ministry of Education of China (Grant No. 20130202110001), the Key Program of Natural Science Research of Education Department of Guizhou Province of China under Grant No. 408[2015] Contract KY and the Science and Technology Planning Project of Qianxinan Prefecture of Guizhou Province of China under Grant No. 2015-1-51.

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Authors and Affiliations

  1. School of Computer Science, Shaanxi Normal University, Xi’an, 710119, Shaanxi, China

    Shengli Zhang & Yongming Li

  2. School of Information Technology, Xingyi Normal University for Nationalities, Xingyi, 562400, Guizhou, China

    Shengli Zhang

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  1. Shengli Zhang
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  2. Yongming Li
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Correspondence to Yongming Li.

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Shengli Zhang and Yongming Li declare that they have no conflict of interest.

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Communicated by V. Loia.

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Zhang, S., Li, Y. A novel table look-up scheme based on GFScom and its application. Soft Comput 21, 6767–6781 (2017). https://doi.org/10.1007/s00500-016-2226-7

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