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Approximation of fuzzy integrals using fuzzy bernstein polynomials

Author

Listed:
  • Reza Ezzati

    (Islamic Azad University)

  • Shokrollah Ziari

    (Islamic Azad University)

Abstract

In this paper, we approximate the integration of continuous fuzzy real number valued function of one and two variables. To do this, we use Bernstein-type fuzzy polynomials. Moreover, we obtain the error estimates for these approximations in terms of the modulus of continuity.

Suggested Citation

  • Reza Ezzati & Shokrollah Ziari, 2012. "Approximation of fuzzy integrals using fuzzy bernstein polynomials," Fuzzy Information and Engineering, Springer, vol. 4(4), pages 415-423, December.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:4:d:10.1007_s12543-012-0124-y
    DOI: 10.1007/s12543-012-0124-y
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    References listed on IDEAS

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    1. Hiai, Fumio & Umegaki, Hisaharu, 1977. "Integrals, conditional expectations, and martingales of multivalued functions," Journal of Multivariate Analysis, Elsevier, vol. 7(1), pages 149-182, March.
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