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

R. Saneifard () and T. Allahviranloo
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R. Saneifard: Islamic Azad University
T. Allahviranloo: Islamic Azad University

Fuzzy Information and Engineering, 2012, vol. 4, issue 3, 235-248

Abstract: 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.

Keywords: Fuzzy number; Defuzzification; Ranking; Bi-symmetric weighted distance; Decision maker’s strategy (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0113-1

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