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A comparative study of ranking fuzzy numbers based on regular weighted function

Author

Listed:
  • R. Saneifard

    (Islamic Azad University)

  • T. Allahviranloo

    (Islamic Azad University)

Abstract

Fuzzy systems have gained more and more attention from researchers and practitioners of various fields. In such systems, the output represented by a fuzzy set sometimes needs to be transformed into a scalar value, and this task is known as the defuzzification process. Several analytic methods have been proposed for this problem, but in this paper, the researchers suggest a modified approach to the problem of defuzzification, using the bi-symmetric weighted distance between two fuzzy numbers. This defuzzification can be used as a crisp approximation with respect to a fuzzy quantity. By considering this and with benchmark between fuzzy numbers, we can present a method for ranking, which can effectively rank variou s fuzzy numbers and their images and overcome the shortcomings of the previous techniques. After illustrating many numerical examples, following our procedure, the ranking results become valid.

Suggested Citation

  • R. Saneifard & T. Allahviranloo, 2012. "A comparative study of ranking fuzzy numbers based on regular weighted function," Fuzzy Information and Engineering, Springer, vol. 4(3), pages 235-248, September.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:3:d:10.1007_s12543-012-0113-1
    DOI: 10.1007/s12543-012-0113-1
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