{"title":"SMAA-GAIA: a complementary tool of the SMAA-PROMETHEE method","authors":"J. Hubinont","doi":"10.1504/IJMCDM.2016.079714","DOIUrl":null,"url":null,"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.","PeriodicalId":38183,"journal":{"name":"International Journal of Multicriteria Decision Making","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1504/IJMCDM.2016.079714","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Multicriteria Decision Making","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJMCDM.2016.079714","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Business, Management and Accounting","Score":null,"Total":0}
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.
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
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