A New Method for Ranking Fuzzy Numbers Based on Principal Component Analysis

IF 3 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

International Journal of Management Science and Engineering Management Pub Date : 2022-09-13 DOI:10.36647/ijsem/09.09.a001

Ayad M. Ramadan, Goran Hidayat Kareem

引用次数: 0

Abstract

It is difficult to rank fuzzy numbers because of their ambiguous values. A few numbers of ranking techniques have been encountered in last few decades. However, existing techniques are situation-dependent which have drawbacks. In this paper we introduced a statistical technique to rank two types of fuzzy numbers, triangular and trapezoidal fuzzy numbers. This technique is the multi-dimensional scaling, more precisely the principal component analysis. Here, we presented each fuzzy numbers as a row in a matrix, then found the scale points in a low dimensions. The scale points are then reconfigured to have a unique representation. The results from this approach are obtained by comparison to the other ranking methods. The validity has been established by comparison with existing works.

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基于主成分分析的模糊数排序新方法

由于模糊数的值不明确，所以很难对它们进行排序。在过去的几十年里，已经遇到了一些排名技术。然而，现有的技术是依赖于情况的，有缺点。本文介绍了一种统计方法对两类模糊数——三角形模糊数和梯形模糊数进行排序。这种技术是多维尺度的，更准确的说是主成分分析。在这里，我们将每个模糊数表示为矩阵中的一行，然后在低维中找到尺度点。然后将比例点重新配置为具有唯一表示。通过与其他排序方法的比较，得出了该方法的排序结果。通过与已有文献的比较，证明了该方法的有效性。

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

International Journal of Management Science and Engineering Management OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

8.50

自引率

33.30%

发文量

期刊介绍： International Journal of Management Science and Engineering Management (IJMSEM) is a peer-reviewed quarterly journal that provides an international forum for researchers and practitioners of management science and engineering management. The journal focuses on identifying problems in the field, and using innovative management theories and new management methods to provide solutions. IJMSEM is committed to providing a platform for researchers and practitioners of management science and engineering management to share experiences and communicate ideas. Articles published in IJMSEM contain fresh information and approaches. They provide key information that will contribute to new scientific inquiries and improve competency, efficiency, and productivity in the field. IJMSEM focuses on the following: 1. identifying Management Science problems in engineering; 2. using management theory and methods to solve above problems innovatively and effectively; 3. developing new management theory and method to the newly emerged management issues in engineering; IJMSEM prefers papers with practical background, clear problem description, understandable physical and mathematical model, physical model with practical significance and theoretical framework, operable algorithm and successful practical applications. IJMSEM also takes into account management papers of original contributions in one or several aspects of these elements.