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Some Typical Fuzzy Complex Set-Valued Integrals

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Fuzzy Information and Engineering-2019

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1094))

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Abstract

By considering the actual problems of fuzzy complex value integral in classification technologies and to study the basic types and relevant theory of fuzzy complex set-valued integral, it is significant to study special forms of fuzzy complex set-valued integral and its related properties in order to apply fuzzy complex set-valued integral algorithm effectively in multiple classifier fusion. In this paper, concepts and basic properties of the Sugeno complex fuzzy set-valued integral, Choquet complex fuzzy set-valued integral, (N)-complex fuzzy set-valued integral and (G) generalized complex fuzzy set-valued integral are introduced. And, some convergence theorems of the complex fuzzy set-valued integral are introduced and proved, which lays a foundation for the research and application of the fuzzy complex set-valued integral theory.

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Acknowledgements

Fund Projects Research project of higher education and teaching reform in Hainan province (HNJG 2019-48), Special Funded Projects for National International Cooperation in Scientific, Technological (No. 2012DFA11270), Hainan Natural Science Fund (No. 117123) and Hainan Higher Education Reform Project (HNJG 2019-48).

Thanks for the recommendation of professor Xiao-wen Liu for his recommendation of this article.

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Authors and Affiliations

  1. School of Information Science and Technology, Hainan Normal University, Haikou, Hainan, China

    Xue-Ping Zhang, Zhuang-Jian Mo & Sheng-Quan Ma

  2. School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China

    Jun Shen

Authors
  1. Xue-Ping Zhang
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  2. Zhuang-Jian Mo
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  3. Jun Shen
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  4. Sheng-Quan Ma
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Correspondence to Sheng-Quan Ma .

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Editors and Affiliations

  1. Foshan University, Foshan, Guangdong, China

    Bing-yuan Cao

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Zhang, XP., Mo, ZJ., Shen, J., Ma, SQ. (2020). Some Typical Fuzzy Complex Set-Valued Integrals. In: Cao, By. (eds) Fuzzy Information and Engineering-2019. Advances in Intelligent Systems and Computing, vol 1094. Springer, Singapore. https://doi.org/10.1007/978-981-15-2459-2_14

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