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Article

An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value

by
T. Allahviranloo
*,
S. Abbasbandy
and
R. Saneifard
Department of Mathematics Science and Research Branch, Islamic Azad University, Tehran, Iran
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(3), 588-597; https://doi.org/10.3390/mca16030588
Published: 1 December 2011
Versions Notes

Abstract

In the present paper, the researchers discuss the problem of weighted interval approximation of fuzzy numbers. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. Then, by using this, the researchers propose a novel approach to ranking fuzzy numbers. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques.
Keywords: Ranking; Fuzzy numbers; Weighted interval-value; Defuzzification Ranking; Fuzzy numbers; Weighted interval-value; Defuzzification

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MDPI and ACS Style

Allahviranloo, T.; Abbasbandy, S.; Saneifard, R. An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value. Math. Comput. Appl. 2011, 16, 588-597. https://doi.org/10.3390/mca16030588

AMA Style

Allahviranloo T, Abbasbandy S, Saneifard R. An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value. Mathematical and Computational Applications. 2011; 16(3):588-597. https://doi.org/10.3390/mca16030588

Chicago/Turabian Style

Allahviranloo, T., S. Abbasbandy, and R. Saneifard. 2011. "An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value" Mathematical and Computational Applications 16, no. 3: 588-597. https://doi.org/10.3390/mca16030588

APA Style

Allahviranloo, T., Abbasbandy, S., & Saneifard, R. (2011). An Approximation Approach for Ranking Fuzzy Numbers Based on Weighted Interval - Value. Mathematical and Computational Applications, 16(3), 588-597. https://doi.org/10.3390/mca16030588

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