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Choquet Type Fuzzy Complex-Valued Integral and Its Application in Classification

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Fuzzy Engineering and Operations Research

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 147))

Abstract

Fuzzy complex-value integral has a wide range of applications in Comprehensive Evaluation, Engineering, Artificial intelligence, Machine learning, Pattern recognition, Information fusion and so on. In this paper, we first introduce the concept of Choquet type fuzzy complex-value integral, then discuss its basic properties and provide a design method of fuzzy complex-value integral classifier. Finally, this classification algorithm is proved to be very effective by some examples.

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References

  1. Sugeno, M.: Theory of fuzzy integrals and applications. Tokyo Institute of Technology (1974)

    Google Scholar 

  2. Buckley, J.J.: Fuzzy complex numbers. Fuzzy Sets and Systems 33, 333–345 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  3. Qiu, J.Q., Li, F.C., Shu, L.Q.: Complex fuzzy measure and complex fuzzy integral. Hebei Light Chemical College Journals 1, 1–4 (1997)

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  4. Ma, S.Q., Chao, C.: Fuzzy complex analysis. Minorities Press, Beijing (2002)

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  5. Ma, S.Q.: Fuzzy complex analysis foundation theory. Science Press, Beijing (2010)

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  6. Wang, X.Z.: The application of fuzzy measure and fuzzy integral in classification technology. Science Press (2008)

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Correspondence to Sheng-quan Ma .

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© 2012 Springer-Verlag Berlin Heidelberg

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Ma, Sq., Chen, Fc., Zhao, Zq. (2012). Choquet Type Fuzzy Complex-Valued Integral and Its Application in Classification. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_23

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  • DOI: https://doi.org/10.1007/978-3-642-28592-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28591-2

  • Online ISBN: 978-3-642-28592-9

  • eBook Packages: EngineeringEngineering (R0)

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