A Modified TOPSIS Approach with Three-Way Decision

IF 1 4区 计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Qiuyan Zhan, Lesheng Jin, Ronald R. Yager
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引用次数: 0

Abstract

In real life, multiple attribute decision problems (MADM) can be applied in different areas and numerous related extensions and methodologies have been proposed by researchers. Combining three-way TOPSIS decision ideas with MADM is a feasible and meaningful research direction. In light of this, this paper generalizes the classical TOPSIS method with the help of mean and standard deviation and proposes the so-called modified three-way TOPSIS. First, using a pair of thresholds which is derived by mean and standard deviation, we divide decision alternatives into three segments, and then a preliminary rank results of decision alternatives can be obtained. Furthermore, in each decision region, we use two ranking regulations (one-way TOPSIS or modified two-way TOPSIS method) to rank decision alternatives. A practical example of urban expressway route selection illustrates the feasibility of the proposed method. Finally, we test the feasibility and validity of the modified three-way TOPSIS method by comparing with some existing method.
一种具有三方决策的改进TOPSIS方法
在现实生活中,多属性决策问题(MADM)可以应用于不同的领域,研究者已经提出了许多相关的扩展和方法。将三向TOPSIS决策思想与MADM相结合是一个可行且有意义的研究方向。鉴于此,本文借助均值和标准差对经典TOPSIS方法进行了推广,提出了所谓的修正三向TOPSIS。首先,利用均值和标准差分别得到的一对阈值,将决策方案划分为三段,得到决策方案的初步排序结果;此外,在每个决策区域中,我们使用两种排序规则(单向TOPSIS或改进的双向TOPSIS方法)对决策方案进行排序。城市高速公路选线实例表明了该方法的可行性。最后,通过与已有方法的比较,验证了改进的三向TOPSIS方法的可行性和有效性。
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
CiteScore
2.70
自引率
0.00%
发文量
48
审稿时长
13.5 months
期刊介绍: The International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems is a forum for research on various methodologies for the management of imprecise, vague, uncertain or incomplete information. The aim of the journal is to promote theoretical or methodological works dealing with all kinds of methods to represent and manipulate imperfectly described pieces of knowledge, excluding results on pure mathematics or simple applications of existing theoretical results. It is published bimonthly, with worldwide distribution to researchers, engineers, decision-makers, and educators.
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