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The Complex Fuzzy Measure

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Fuzzy Information & Engineering and Operations Research & Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 211))

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Abstract

In this paper, we define the concept of complex Fuzzy measure, which is different from the concept of complex Fuzzy measure in [2], and discuss its properties and theorems. On the basis of the concept of complex Fuzzy measurable function in [2], we study its convergence theorem. It builds the certain foundation for the research of complex Fuzzy integral.

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References

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Acknowledgments

This work is supported by International Science & Technology Cooperation Program of China (2012DFA11270), Hainan International Cooperation Key Project(GJXM201105) and Natural Science Foundation of Hainan Province (No.111007)

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shanxi Normal University, Xian, Shanxi, 710062, China

    Sheng-quan Ma

  2. College of information science and Technology, Hainan Normal University, Haikou, Hainan, Haikou, 571158, China

    Sheng-quan Ma & Zhi-qing Zhao

  3. Dept. of Math, Hainan Normal University, Haikou, Hainan, 571158, Haikou, China

    Mei-qin Chen

Authors
  1. Sheng-quan Ma
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  2. Mei-qin Chen
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  3. Zhi-qing Zhao
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Corresponding author

Correspondence to Sheng-quan Ma .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University Higher Education Mega Center, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar, Iran

    Hadi Nasseri

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Ma, Sq., Chen, Mq., Zhao, Zq. (2014). The Complex Fuzzy Measure. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-38667-1_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38666-4

  • Online ISBN: 978-3-642-38667-1

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