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The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making

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  • Malcolm J. Beynon

    (Cardiff University)

Abstract

DS/AHP is a nascent method of multi-criteria decision-making, based on the Dempster-Shafer theory of evidence and indirectly the Analytic Hierarchy Process. It is concerned with the identification of the levels of preference that decision makers have towards certain decision alternatives (DAs), through preference judgements made over a number of different criteria. The working result from a DS/AHP analysis is the body of evidence (BOE), which includes a series of mass values that represent the exact beliefs in the best DA(s) existing within certain subsets of DAs. This paper considers the role of DS/AHP as an aid to group decision-making, through the utilisation of a distance measure (between BOEs). Here, the distance measure enables the identification of the members of the decision-making group who are in most agreement, with respect to the judgements they have individually made. The utilisation of a single linkage dendrite approach to clustering elucidates an appropriate order to the aggregation of the judgements of the group members. This develops the DS/AHP method as a tool to identify inter-group alliances, as well as introduce a ‘majority rule’ approach to decision-making through consensus building.

Suggested Citation

  • Malcolm J. Beynon, 2006. "The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making," Group Decision and Negotiation, Springer, vol. 15(1), pages 21-42, January.
    • Handle: RePEc:spr:grdene:v:15:y:2006:i:1:d:10.1007_s10726-005-1159-9
    DOI: 10.1007/s10726-005-1159-9
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    1. Xu, Xiaozhan & Martel, Jean-Marc & Lamond, Bernard F., 2001. "A multiple criteria ranking procedure based on distance between partial preorders," European Journal of Operational Research, Elsevier, vol. 133(1), pages 69-80, August.
    2. Robert L. Armacost & Jamshid C. Hosseini & Julie Pet-Edwards, 1999. "Using the Analytic Hierarchy Process as a Two-phase Integrated Decision Approach for Large Nominal Groups," Group Decision and Negotiation, Springer, vol. 8(6), pages 535-555, November.
    3. Bana E Costa, Carlos A. & Stewart, Theodor J. & Vansnick, Jean-Claude, 1997. "Multicriteria decision analysis: Some thoughts based on the tutorial and discussion sessions of the ESIGMA meetings," European Journal of Operational Research, Elsevier, vol. 99(1), pages 28-37, May.
    4. Hinsz, Verlin B., 1999. "Group Decision Making with Responses of a Quantitative Nature: The Theory of Social Decision Schemes for Quantities, , , , , , , , , ," Organizational Behavior and Human Decision Processes, Elsevier, vol. 80(1), pages 28-49, October.
    5. Hollingshead, Andrea B., 1996. "The Rank-Order Effect in Group Decision Making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 68(3), pages 181-193, December.
    6. Iqbal Ali & Wade D. Cook & Moshe Kress, 1986. "Note---Ordinal Ranking and Intensity of Preference: A Linear Programming Approach," Management Science, INFORMS, vol. 32(12), pages 1642-1647, December.
    7. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328-328.
    8. Mehrez, Abraham, 1997. "The interface between OR/MS and decision theory," European Journal of Operational Research, Elsevier, vol. 99(1), pages 38-47, May.
    9. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
    10. Ray, Thomas G. & Triantaphyllou, Evangelos, 1998. "Evaluation of rankings with regard to the possible number of agreements and conflicts," European Journal of Operational Research, Elsevier, vol. 106(1), pages 129-136, April.
    11. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    12. Beynon, Malcolm, 2002. "DS/AHP method: A mathematical analysis, including an understanding of uncertainty," European Journal of Operational Research, Elsevier, vol. 140(1), pages 148-164, July.
    13. Lai, Vincent S. & Wong, Bo K. & Cheung, Waiman, 2002. "Group decision making in a multiple criteria environment: A case using the AHP in software selection," European Journal of Operational Research, Elsevier, vol. 137(1), pages 134-144, February.
    14. Lipshitz, Raanan & Strauss, Orna, 1997. "Coping with Uncertainty: A Naturalistic Decision-Making Analysis," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(2), pages 149-163, February.
    15. Matsatsinis, Nikolaos F. & Samaras, Andreas P., 2001. "MCDA and preference disaggregation in group decision support systems," European Journal of Operational Research, Elsevier, vol. 130(2), pages 414-429, April.
    16. Beynon, Malcolm & Curry, Bruce & Morgan, Peter, 2000. "The Dempster-Shafer theory of evidence: an alternative approach to multicriteria decision modelling," Omega, Elsevier, vol. 28(1), pages 37-50, February.
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    3. Y. Chen & D. Marc Kilgour & Keith W. Hipel, 2012. "A Decision Rule Aggregation Approach to Multiple Criteria-Multiple Participant Sorting," Group Decision and Negotiation, Springer, vol. 21(5), pages 727-745, September.
    4. Wen-Hsien Tsai & Ching-Chien Yang & Jun-Der Leu & Ya-Fen Lee & Chih-Hao Yang, 2013. "An Integrated Group Decision Making Support Model for Corporate Financing Decisions," Group Decision and Negotiation, Springer, vol. 22(6), pages 1103-1127, November.
    5. Danielle Costa Morais & Adiel Teixeira Almeida & José Rui Figueira, 2014. "A Sorting Model for Group Decision Making: A Case Study of Water Losses in Brazil," Group Decision and Negotiation, Springer, vol. 23(5), pages 937-960, September.

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