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Application of Interval Approximation Method of a Fuzzy Number to the Supplier Selection

  • Kamala AliyevaEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 896)

Abstract

In this paper the idea of an approximation interval method of a fuzzy number is used for supplier selection. This is the interval that fulfils two stipulations. at the beginning, its distance is the same as the distance of a fuzzy number existing approximated. Next, the Hamming approximation among this distance and the approximated data is minimum. We obtain formula of defining the approximation distance for a fuzzy data presented in a basic kind as well as for a fuzzy number of L-R type. In practice, fuzzy intervals are frequently used to represent uncertain or imperfect information.

Keywords

Weighted interval approximation method of fuzzy numbers Supplier selection Fuzzy numbers Multiple criteria decision making 

References

  1. 1.
    Buckley, J.J.: Ranking alternatives using fuzzy numbers. Fuzzy Sets Syst. 15, 21–31 (1985)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Buckley, J.J., Chanas, S.: A fast method of ranking alternatives using fuzzy numbers. Fuzzy Sets Syst. 30(1989), 337–338 (1989)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Dubois, D., Prade, H.: Operations on fuzzy numbers. Int. J. Syst. Sci. 9(6), 613–626 (1978)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Dubois, D., Prade, H.: Fuzzy Sets Syst. 24, 279–300 (1987)CrossRefGoogle Scholar
  5. 5.
    Heilpern, S.: The expected value of a fuzzy number. Fuzzy Sets Syst. 47(1), 81–86 (1992)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Jimenez, M.: Ranking fuzzy intervals through the comparison of its expected intervals. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 4, 379–388 (1996)CrossRefGoogle Scholar
  7. 7.
    Liou, T.S., Wang, M.J.: Ranking fuzzy numbers with integral value. Fuzzy Sets Syst. 50, 247–255 (1992)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Instrument Making EngineeringAzerbaijan State Oil and Industry UniversityBakuAzerbaijan

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