A novel method for ranking generalized fuzzy numbers with two different heights and its application in fuzzy risk analysis

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-04-01 DOI:10.22111/IJFS.2021.5915

Y. Barazandeh, B. Ghazanfari

引用次数: 3

Abstract

Due to the large use of fuzzy numbers, the ranking of these numbers is very important.In this paper, we propose a new method for ranking generalized fuzzy numbers with different left and right heights.The proposed method, at first obtains the centers of gravity of fuzzy numbers and left and right side crisp numbers; then by computing left and right areas associated with them, ranks the fuzzy numbers. The proposed method can overcome the flaws and defects of some ranking methods, and the provided examples are evidence of this. Finally this method is applied to the fuzzy risk analysis problem.

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一种两高度广义模糊数排序的新方法及其在模糊风险分析中的应用

由于模糊数的大量使用，这些数的排序非常重要。本文提出了一种对具有不同左右高度的广义模糊数进行排序的新方法。所提出的方法，首先得到模糊数和左右侧清晰数的重心;然后通过计算与它们相关的左右区域，对模糊数进行排序。本文提出的方法可以克服一些排序方法的缺陷和缺陷，并通过实例加以验证。最后将该方法应用于模糊风险分析问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.