SMAA-GAIA: a complementary tool of the SMAA-PROMETHEE method

Q4 Business, Management and Accounting

International Journal of Multicriteria Decision Making Pub Date : 2016-10-13 DOI:10.1504/IJMCDM.2016.079714

J. Hubinont

引用次数: 7

Abstract

PROMETHEE and GAIA are well-known multiple criteria decision aid methods. Given an evaluation table and preference parameters they allow to rank the alternatives, to visualise the problem, to perform sensitivity and robustness analysis, etc. Unfortunately, it is often hard for the decision maker (DM) to estimate the precise values of these parameters. Therefore an alternative option is to give ranges of potential values in order to apply stochastic multi-criteria acceptability analysis. This has been recently studied in the context of the SMAA-PROMETHEE method. The aim of this contribution is to propose a SMAA extension of GAIA. We show how this tool can be useful and provide complementary information to SMAA-PROMETHEE. This is illustrated on a pedagogical example.

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SMAA-GAIA: SMAA-PROMETHEE方法的补充工具

PROMETHEE和GAIA是著名的多准则决策辅助方法。给定一个评估表和偏好参数，它们允许对备选方案进行排序，将问题可视化，执行灵敏度和鲁棒性分析等。不幸的是，决策者(DM)通常很难估计这些参数的精确值。因此，另一种选择是给出潜在值的范围，以便应用随机多准则可接受性分析。最近在SMAA-PROMETHEE方法中对此进行了研究。这篇文章的目的是提出GAIA的SMAA扩展。我们将展示该工具的用处，并为SMAA-PROMETHEE提供补充信息。这是用一个教学实例来说明的。

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