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Proposing a revised method for ranking fuzzy numbers

机译:提出一种改进的模糊数排名方法

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摘要

Due to the vague nature of fuzzy numbers, ranking them according to their magnitude is an interesting area of fuzzy numbers. For this reason, several techniques have been proposed for ranking them. Each of these techniques has shown non-intuitive results in specific cases. Cheng employed "distance method" for ranking fuzzy numbers in Ref [3]. Then Chu and Tsao in [5] found another method. In this article, some problems of Cheng distance method is indicated and then a new revised method for ranking fuzzy numbers has been proposed which can avoid problem for ranking fuzzy numbers. The considerable priority of the proposed method is its simplicity and easiness in calculation with distance method. For showing the superiority of this method some numerical examples illustrated, recognizing its dominance over the deficiencies existing in other resembled ranking approaches.
机译:由于模糊数的模糊性质,根据模糊数的大小对它们进行排序是一个有趣的模糊数领域。由于这个原因,已经提出了几种对它们进行排名的技术。这些技术中的每一种在特定情况下均显示出非直觉的结果。 Cheng在参考文献[3]中采用“距离法”对模糊数进行排名。然后,朱和曹在[5]中找到了另一种方法。本文指出了Cheng距离法存在的一些问题,然后提出了一种新的改进的模糊数排名方法,该方法可以避免模糊数排名的问题。所提出的方法的相当大的优先权是它的简单性和在距离方法中的简便性。为了显示该方法的优越性,举例说明了一些数字示例,认识到其优势优于其他类似排名方法中存在的缺陷。

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