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Interval Type-2 Fuzzy System Based on NT Method and Its Probability Representation

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Fuzzy Sets and Operations Research (ICFIE 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 872))

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Abstract

In this paper, we study the interval type-2 fuzzy system based on NT method. We establish an interval type-2 fuzzy system based on a set of input-output data and reveal the probability significance of the interval type-2 fuzzy system. We prove that the crisp output of the interval type-2 fuzzy system based on NT method can be regarded as the conditional mathematical expectation of certain random vectors. And we provide the expression of the joint probability density function and this interval type-2 fuzzy system.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (61374118, 61773088) and the programme of Zhuhai Municipal Key Laboratory of Intelligent Control.

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Authors and Affiliations

  1. School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China

    Wei Zhou, Hong-xing Li & De-gang Wang

  2. School of Applied Mathematics, Beijing Normal University, Zhuhai, 519087, China

    Wei Zhou

Authors
  1. Wei Zhou
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  2. Hong-xing Li
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  3. De-gang Wang
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Corresponding author

Correspondence to Wei Zhou .

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Editors and Affiliations

  1. Foshan University, Foshan, Guangdong, China

    Bing-Yuan Cao

  2. School of Mathematics and Information Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Zhou, W., Li, Hx., Wang, Dg. (2019). Interval Type-2 Fuzzy System Based on NT Method and Its Probability Representation. In: Cao, BY., Zhong, YB. (eds) Fuzzy Sets and Operations Research. ICFIE 2017. Advances in Intelligent Systems and Computing, vol 872. Springer, Cham. https://doi.org/10.1007/978-3-030-02777-3_26

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