Scaling Transformation in the Rembrandt Technique

Examination of the Progression Factors

    Research output: Contribution to journalJournal articleResearchpeer-review

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    Abstract

    This paper examines a decision support system (DSS) for the appraisal of complex decision problems using multi-criteria decision analysis (MCDA). The DSS makes use of a structured hierarchical approach featuring the multiplicative AHP also known as the REMBRANDT technique. The paper addresses the influence of the progression factor used when transforming the decision makers' verbal responses from a semantic to a geometric scale in REMBRANDT. Conventionally, the progression factor 2 is used for calculating scores of alternatives and √2 for calculation of criteria weights. Tests are conducted on the magnitude of these progression factors in order to examine the sensitivity towards the final outcome of an analysis. For illustration a case study concerning the appraisal of a large infrastructure project is presented. The results of the sensitivity calculations are compared with the results of a conventional AHP calculation in order to examine what impact the choice of progression factors as well as the choice of technique have on the decision making. Based on this a modified progression factor for the calculation of scores for the alternatives in REMBRANDT is suggested while the progression factor for the criteria weights is suggested to be kept unchanged. Finally, conclusions and perspectives are set out.
    Original languageEnglish
    JournalInternational Journal of Information Technology and Decision Making
    Volume12
    Issue number5
    Pages (from-to)887-903
    ISSN0219-6220
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Multi-Criteria Decision Analysis
    • Decision Support Systems
    • REMBRANDT
    • AHP

    Cite this

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    title = "Scaling Transformation in the Rembrandt Technique: Examination of the Progression Factors",
    abstract = "This paper examines a decision support system (DSS) for the appraisal of complex decision problems using multi-criteria decision analysis (MCDA). The DSS makes use of a structured hierarchical approach featuring the multiplicative AHP also known as the REMBRANDT technique. The paper addresses the influence of the progression factor used when transforming the decision makers' verbal responses from a semantic to a geometric scale in REMBRANDT. Conventionally, the progression factor 2 is used for calculating scores of alternatives and √2 for calculation of criteria weights. Tests are conducted on the magnitude of these progression factors in order to examine the sensitivity towards the final outcome of an analysis. For illustration a case study concerning the appraisal of a large infrastructure project is presented. The results of the sensitivity calculations are compared with the results of a conventional AHP calculation in order to examine what impact the choice of progression factors as well as the choice of technique have on the decision making. Based on this a modified progression factor for the calculation of scores for the alternatives in REMBRANDT is suggested while the progression factor for the criteria weights is suggested to be kept unchanged. Finally, conclusions and perspectives are set out.",
    keywords = "Multi-Criteria Decision Analysis, Decision Support Systems, REMBRANDT, AHP",
    author = "Barfod, {Michael Bruhn} and Steen Leleur",
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    language = "English",
    volume = "12",
    pages = "887--903",
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    Scaling Transformation in the Rembrandt Technique : Examination of the Progression Factors. / Barfod, Michael Bruhn; Leleur, Steen.

    In: International Journal of Information Technology and Decision Making, Vol. 12, No. 5, 2013, p. 887-903.

    Research output: Contribution to journalJournal articleResearchpeer-review

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    T1 - Scaling Transformation in the Rembrandt Technique

    T2 - Examination of the Progression Factors

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    AU - Leleur, Steen

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    N2 - This paper examines a decision support system (DSS) for the appraisal of complex decision problems using multi-criteria decision analysis (MCDA). The DSS makes use of a structured hierarchical approach featuring the multiplicative AHP also known as the REMBRANDT technique. The paper addresses the influence of the progression factor used when transforming the decision makers' verbal responses from a semantic to a geometric scale in REMBRANDT. Conventionally, the progression factor 2 is used for calculating scores of alternatives and √2 for calculation of criteria weights. Tests are conducted on the magnitude of these progression factors in order to examine the sensitivity towards the final outcome of an analysis. For illustration a case study concerning the appraisal of a large infrastructure project is presented. The results of the sensitivity calculations are compared with the results of a conventional AHP calculation in order to examine what impact the choice of progression factors as well as the choice of technique have on the decision making. Based on this a modified progression factor for the calculation of scores for the alternatives in REMBRANDT is suggested while the progression factor for the criteria weights is suggested to be kept unchanged. Finally, conclusions and perspectives are set out.

    AB - This paper examines a decision support system (DSS) for the appraisal of complex decision problems using multi-criteria decision analysis (MCDA). The DSS makes use of a structured hierarchical approach featuring the multiplicative AHP also known as the REMBRANDT technique. The paper addresses the influence of the progression factor used when transforming the decision makers' verbal responses from a semantic to a geometric scale in REMBRANDT. Conventionally, the progression factor 2 is used for calculating scores of alternatives and √2 for calculation of criteria weights. Tests are conducted on the magnitude of these progression factors in order to examine the sensitivity towards the final outcome of an analysis. For illustration a case study concerning the appraisal of a large infrastructure project is presented. The results of the sensitivity calculations are compared with the results of a conventional AHP calculation in order to examine what impact the choice of progression factors as well as the choice of technique have on the decision making. Based on this a modified progression factor for the calculation of scores for the alternatives in REMBRANDT is suggested while the progression factor for the criteria weights is suggested to be kept unchanged. Finally, conclusions and perspectives are set out.

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    KW - Decision Support Systems

    KW - REMBRANDT

    KW - AHP

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