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Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem

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Fuzzy Systems & Operations Research and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 367))

Abstract

This paper is devoted to propose the convergence problem of complex fuzzy set-valued complex fuzzy integral base on the complex fuzzy sets values complex fuzzy measure. We introduces the concepts of the complex fuzzy set-valued complex fuzzy measure in [1], the complex fuzzy set-valued measurable function in [2], and the complex fuzzy set-valued complex fuzzy integral in [3]. And then, we focuses on convergence problem of complex fuzzy set-valued complex fuzzy integral, obtained some convergence theorems.

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Acknowledgments

Thanks to the support by International Science & Technology Cooperation Program of China (No. 2012DFA11270).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shanxi Normal University, Xi’an, 710062, China

    Sheng-quan Ma & Sheng-gang Li

  2. School of Information and Technology, Hainan Normal University, Haikou, 571158, China

    Sheng-quan Ma

Authors
  1. Sheng-quan Ma
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  2. Sheng-gang Li
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Corresponding author

Correspondence to Sheng-quan Ma .

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Editors and Affiliations

  1. Guangzhou University, Guangzhou, China

    Bing-Yuan Cao

  2. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  3. Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

  4. Zhuhai Campus, Beijing Normal University, Zhuhai, China

    Hong-Hai Mi

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Ma, Sq., Li, Sg. (2016). Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_14

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

  • eBook Packages: EngineeringEngineering (R0)

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