Research Article | OPEN ACCESS
On the Nearest Weighted Point Theorem for Ranking Fuzzy Numbers
R. Saneifard, H. Fooladi and G. Pakgalb
Department of Mathematics, Urmia Branch, Islamic Azad University, Oroumieh, Iran
Research Journal of Applied Sciences, Engineering and Technology 2013 20:4835-4839
Received: September 10, 2012 | Accepted: October 19, 2012 | Published: May 15, 2013
Abstract
In this study the author discusses the problem of defuzzification by minimizing the weighted distance between two fuzzy quantities. Also, this study obtains the nearest point with respect to a fuzzy number and shows that this point is unique relative to the weighted distance. By utilizing this point, a method is presented for effectively ranking fuzzy numbers and their images to overcome the deficiencies of the previous techniques. Finally, several numerical examples following the procedure indicate the ranking results to be valid.
Keywords:
Defuzzification, fuzzy number, ranking, weighted distance, weighted point,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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