Ratio product model: A rank-preserving normalization-agnostic multi-criteria decision-making method

IF 1.9 Q3 MANAGEMENT
Majid Mohammadi, Jafar Rezaei
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引用次数: 0

Abstract

This paper presents a new multi-criteria decision-making (MCDM) method, namely the ratio product model (RPM). We first overview two popular aggregating models: the weighted sum model (WSM) and the weighted product model (WPM). Then, we argue that the two models suffer from some fundamental issues mainly due to ignoring the ratio nature of the alternatives' scores with respect to the criteria and the importance weights of the criteria. Building on the notion of compositional data analysis, the developed RPM regards performance scores and criteria weights as compositions, which solves the issues around the WSM and WPM. Using several examples, we show that the WSM and WPM could lead to erroneous conclusions, whereas the RPM could lead to fully reliable conclusions. Since many MCDM methods rely on some aggregation approaches, the proposed method is a significant contribution to the field and puts forward the correct way to analyze decision problems while respecting the nature and constraints of the input data.

Abstract Image

比率乘积模型:一种保秩归一化不可知的多准则决策方法
本文提出了一种新的多准则决策方法,即比率积模型。我们首先概述了两种流行的聚合模型:加权和模型(WSM)和加权乘积模型(WPM)。然后,我们认为这两个模型存在一些基本问题,主要是由于忽略了备选方案得分相对于标准的比例性质和标准的重要性权重。基于组合数据分析的概念,开发的RPM将性能分数和标准权重视为组合,从而解决了围绕WSM和WPM的问题。通过几个例子,我们表明WSM和WPM可能导致错误的结论,而RPM可能导致完全可靠的结论。由于许多MCDM方法依赖于一些聚合方法,因此该方法对该领域做出了重大贡献,并在尊重输入数据的性质和约束的情况下提出了分析决策问题的正确方法。
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来源期刊
CiteScore
4.70
自引率
10.00%
发文量
14
期刊介绍: The Journal of Multi-Criteria Decision Analysis was launched in 1992, and from the outset has aimed to be the repository of choice for papers covering all aspects of MCDA/MCDM. The journal provides an international forum for the presentation and discussion of all aspects of research, application and evaluation of multi-criteria decision analysis, and publishes material from a variety of disciplines and all schools of thought. Papers addressing mathematical, theoretical, and behavioural aspects are welcome, as are case studies, applications and evaluation of techniques and methodologies.
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