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Determining Aggregate Criteria Weights From Criteria Rankings By A Group Of Decision Makers

Author

Listed:
  • HESHAM K. ALFARES

    (Systems Engineering Department, PO Box 5067, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

  • SALIH O. DUFFUAA

    (Systems Engineering Department, PO Box 5067, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

In this paper, we present an empirical methodology to determine aggregate numerical criteria weights from group ordinal ranks of multiple decision criteria. Assuming that such ordinal ranks are obtained from several decision makers, aggregation procedures are proposed to combine individual rank inputs into group criteria weights. In this process, we use previous empirical results for an individual decision maker, in which a simple function provides the weight for each criterion as a function of its rank and the total number of criteria. Using a set of experiments, weight aggregation procedures are proposed and empirically compared for two cases: (i) when all the decision makers rank the same set of criteria, and (ii) when they rank different subsets of criteria. The proposed methodology can be used to determine relative weights for any set of criteria, given only criteria ranks provided by several decision makers.

Suggested Citation

  • Hesham K. Alfares & Salih O. Duffuaa, 2008. "Determining Aggregate Criteria Weights From Criteria Rankings By A Group Of Decision Makers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 769-781.
  • Handle: RePEc:wsi:ijitdm:v:07:y:2008:i:04:n:s0219622008003174
    DOI: 10.1142/S0219622008003174
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    Cited by:

    1. Karen Holm Olsen & Fatemeh Bakhtiari & Virender Kumar Duggal & Jørge Villy Fenhann, 2019. "Sustainability labelling as a tool for reporting the sustainable development impacts of climate actions relevant to Article 6 of the Paris Agreement," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 19(2), pages 225-251, April.
    2. Sophie Mitra & Kris Jones & Brandon Vick & David Brown & Eileen McGinn & Mary Alexander, 2013. "Implementing a Multidimensional Poverty Measure Using Mixed Methods and a Participatory Framework," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 110(3), pages 1061-1081, February.
    3. Aron Larsson & Mona Riabacke & Mats Danielson & Love Ekenberg, 2015. "Cardinal and Rank Ordering of Criteria — Addressing Prescription within Weight Elicitation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1299-1330, November.
    4. Hesham K. Alfares & Salih O. Duffuaa, 2016. "Simulation-Based Evaluation of Criteria Rank-Weighting Methods in Multi-Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 43-61, January.

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