PROMETHEE-compatible presentations of multicriteria evaluation tables

Q4 Business, Management and Accounting

International Journal of Multicriteria Decision Making Pub Date : 2016-01-09 DOI:10.1504/IJMCDM.2015.074086

K. Lidouh, N. Doan, Y. D. Smet

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Abstract

Most decision problems involve the simultaneous optimisation of several conflicting criteria. Generally, the first step to solve such problems is to identify the set of alternatives and the criteria they will be evaluated on, leading to the construction of an evaluation table. Of course, there are numerous ways to build such a table and to represent it. For a problem of n alternatives and m criteria, there are n! • m! possibilities of representation. However, from a multicriteria point of view some of them can be more interesting than the others. In this article, we will make use of the PROMETHEE and GAIA methods from which the extracted information will serve to restructure such tables. In order to evaluate the properties of these PROMETHEE-based representations, an indicator will be defined that uses only ordinal information of the values contained in a given table. This measure will also serve as a fitness function for a genetic algorithm that will find good - if not the best - tables. These will allow to draw comparisons with PROMETHEE-based representations.

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普罗米修斯兼容多标准评估表的演示

大多数决策问题涉及同时优化几个相互冲突的标准。一般来说，解决这类问题的第一步是确定一组备选方案和评估它们的标准，从而构建一个评价表。当然，有许多方法可以构建这样一个表并表示它。对于一个有n个选择和m个标准的问题，有n!•米!表现的可能性。然而，从多标准的角度来看，其中一些可能比其他的更有趣。在本文中，我们将使用PROMETHEE和GAIA方法，从中提取的信息将用于重构此类表。为了评估这些基于promehee表示的属性，将定义一个指示符，该指示符仅使用给定表中包含的值的有序信息。这一措施也将作为遗传算法的适应度函数，该算法将找到好的(如果不是最好的)表。这将允许与基于promehee的表示进行比较。

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 Multicriteria Decision Making Business, Management and Accounting-Strategy and Management

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： IJMCDM is a scholarly journal that publishes high quality research contributing to the theory and practice of decision making in ill-structured problems involving multiple criteria, goals and objectives. The journal publishes papers concerning all aspects of multicriteria decision making (MCDM), including theoretical studies, empirical investigations, comparisons and real-world applications. Papers exploring the connections with other disciplines in operations research and management science are particularly welcome. Topics covered include: -Artificial intelligence, evolutionary computation, soft computing in MCDM -Conjoint/performance measurement -Decision making under uncertainty -Disaggregation analysis, preference learning/elicitation -Group decision making, multicriteria games -Multi-attribute utility/value theory -Multi-criteria decision support systems and knowledge-based systems -Multi-objective mathematical programming -Outranking relations theory -Preference modelling -Problem structuring with multiple criteria -Risk analysis/modelling, sensitivity/robustness analysis -Social choice models -Theoretical foundations of MCDM, rough set theory -Innovative applied research in relevant fields