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

T. Allahviranloo; S. Abbasbandy; R. Saneifard

doi:10.3390/mca16030588

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1 December 2011

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

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Department of Mathematics Science and Research Branch, Islamic Azad University, Tehran, Iran

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Math. Comput. Appl.2011, 16(3), 588-597;https://doi.org/10.3390/mca16030588

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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

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