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The Solution Algorithm of Complex Fuzzy-Valued Function Integral by Fuzzy Structured Element

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Fuzzy Information and Engineering 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 78))

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Abstract

In this paper, we redefined the complex fuzzy integral using the fuzzy structured element theory, and led into the monotone functions[1]of the same sequence in the range between [-1,1], we also obtained some properties and solution algorithm of complex fuzzy-valued function integral by fuzzy structured element.

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References

  1. Zong, G.-S.: Transformation group of monotone functions with same monotonic form on [-1,1] and operations of fuzzy numbers. Fuzzy System and Mathematics 19(3), 105–110 (2005)

    Google Scholar 

  2. Zong, G.-S.: The general representation of fuzzy function based on the fuzzy structured element. Fuzzy Systems and Mathematics 1, 82–86 (2005)

    Google Scholar 

  3. Zong, G.-S.: Fuzzy numbers and fuzzy-valued function linear formed by structured element. Journal of Liaoning Technical University (2006)

    Google Scholar 

  4. Quan, M.-S., Chun, C.: Fuzzy Complex Analysis. National Press, Beijing (2001)

    Google Scholar 

  5. Quan, M.-S., Juan, J.-L., et al.: Complex fuzzy-valued functions integral on a smooth curve. Northwest University for Nationalities (2005)

    Google Scholar 

  6. Zong, G.-S.: Method of structured element in fuzzy analysis(I) (II). Journal of Liaoning Technical University 21(5), 670-673; 21(6), 808-810 (2002)

    Google Scholar 

  7. Ju, Z.-Y., Zong, G.-S.: The complex fuzzy number arithmetic based on fuzzy structured element. Fuzzy Systems and Mathematics (2008)

    Google Scholar 

  8. Jiqing, Q., Fachao, L., Liangqing, S.: Complex Fuzzy Measure and Complex Fuzzy Integral. Journal of Hebei Institute of Chemical Technology and Light Industry 18, 1–5 (1997)

    Google Scholar 

  9. Zong, G.-S.: Homeomorphic property between fuzzy number space and family of standard bounded monotone function. Progress in Natural Science 14(11), 1318–1321 (2004)

    MathSciNet  Google Scholar 

  10. Buckley, J.J.: Fuzzy complex numbers. FSS 33, 333–345 (1989)

    MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Systems Science and Mathematics, Liaoning Technical University, Fuxin, 123000, China

    Jing Sun & Si-zong Guo

Authors
  1. Jing Sun
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  2. Si-zong Guo
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Editor information

Editors and Affiliations

  1. School of Mathematics and Information Science Guangzhou Higher Education Mega Center , Guangzhou University, 230Wai Huan Xi Road, ZIP 510006, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, China

    Guo-jun Wang

  3. Institute of Mathematics and Systems Science, Liaoning Technical University , 123000, China

    Si-zong Guo

  4. School of Science, Jimei University , 361021, Xiamen, Fujian, China

    Shui-li Chen

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Sun, J., Guo, Sz. (2010). The Solution Algorithm of Complex Fuzzy-Valued Function Integral by Fuzzy Structured Element. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-14880-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14879-8

  • Online ISBN: 978-3-642-14880-4

  • eBook Packages: EngineeringEngineering (R0)

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