Advertisement

Fuzzy Complex Value Measure and Fuzzy Complex Value Measurable Function

  • Sheng-quan Ma
  • De-jun Peng
  • De-yuan Li
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 54)

Abstract

Based on the conception of real fuzzy measure. Firstly, the definition of fuzzy complex measure is introduced, the properties of fuzzy complex measure is mainly discussed in details. And gain Some better results; secondly, we introduce the conception of fuzzy complex function and fuzzy complex measurable function and initially discuss the basic properties of fuzzy complex measurable function. Establish the foundation for further research in fuzzy complex integral.

Keywords

Fuzzy set fuzzy complex measure fuzzy complex function fuzzy complex measurable function 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Zadeh, L.A.: Fuzzy sets. Inform. Control 8, 338–353 (1965)zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Buckley, J.J.: Fuzzy complex numbers. Fuzzy Sets and Systems (33), 333–345 (1989)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Ramot, D., Milo, R., Friedman, M., Kandel, A.: Complex fuzzy sets. IEEE Trans. Fuzzy Syst. 10(2), 171–186 (2002)CrossRefGoogle Scholar
  4. 4.
    Ramot, D., Friedman, M., Langholz, G., Kandel, A.: Complex fuzzy logic. IEEE Trans. Fuzzy Syst. 11(4), 450–461 (2003)CrossRefGoogle Scholar
  5. 5.
    Jiqing, Q., Fachao, L., Lianqing, S.: Complex Fuzzy Measure and Complex Fuzzy Integral. Journal of Hebei Institute of Chemical Technology and Light Industry 18(1), 1–5 (1997)Google Scholar
  6. 6.
    Minghu, H., Congxin, W.: Fuzzy Measure and Fuzzy Integral. Science Press, Beijing (1998)Google Scholar
  7. 7.
    Guangquan, Z.: Fuzzy Limit theory of fuzzy Complex numbers. Fuzzy Sets and Systems (46), 227–235 (1992)CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Sheng-quan Ma
    • 1
  • De-jun Peng
    • 1
  • De-yuan Li
    • 1
  1. 1.Department of MathematicsHainan Normal UniversityHaikouP.R. China

Personalised recommendations