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On the Study of Linear Properties for Fuzzy-Number-Valued Fuzzy Integrals

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

Abstract

In this paper, we firstly studied the absolute values for fuzzy numbers and introduced the inequality of absolute values for fuzzy numbers in the condition of H-difference. In the end we discussed linear properties of fuzzy integrals whose coefficients are fuzzy numbers.

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References

  1. Gong, Z., Wu, C.: Bounded Varition,Absolute continuity and absolute integrability for fuzzy-number-valued functions. Fuzzy Sets and Systerms 129, 83–94 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Wu, C., Gong, Z.: On Henstock integral of fuzzy-number-valued functions. Fuzzy Sets and Systerms 120, 523–532 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Wu, C., Gong, Z.: On Henstock integrals of interval-valued functions and fuzzy -valued functions. Fuzzy Sets and Systerms 115, 377–391 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Buckley, J.J., Feuring, T.: Fuzzy initial value problem for Nth-order linear differential equations. Fuzzy Sets and Systerms 121, 247–255 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  5. Feng, Y.: The solutions of linear fuzzy stochastic differential systems. Fuzzy Sets and Systems 140, 541–554 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gnana Bhaskar, T., Lakshmikantham, V.: Revisiting fuzzy differential equations. Nonlinear Analysis 58, 351–358 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Diamond, P.: Brief note on the variation of constants formula for fuzzy differential equations. Fuzzy Sets and Systems 129, 65–71 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  8. Puri, M., Ralescu, D.: Differentials of fuzzy functions. Journal of Mathwmatical Analysis and Applications 91, 552–558 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  9. Dubois, D., Prade, H.: Possibility Theory. Plenum Press, New York (1988)

    MATH  Google Scholar 

  10. Bede, B., Rugas, I.J., Bencsik, A.L.: First order linear fuzzy differential equations under generalized differentiability. Information Sciences 177, 1648–1662 (2007)

    Article  MATH  MathSciNet  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Zhang, Dk., Feng, Wl., Qiu, Jq., Xi, Dm. (2009). On the Study of Linear Properties for Fuzzy-Number-Valued Fuzzy Integrals. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_29

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

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