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Multicriteria Group Decision Making: Optimal Priority Synthesis from Pairwise Comparisons

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  • L. Sun

    (Catholic University of America)

  • B. S. Greenberg

    (University of Texa)

Abstract

We propose an optimization based hybrid approach for multicriteria group decision making that takes advantage of aggregating individual judgments and aggregating individual priority methods. Different error structures and criteria with particular emphasis on weighted least square measure and weighted least logarithmic square measure for additive and multiplicative error structures are studied. We evaluate also the statistical properties of the derived group preference and new measures to assess consistency. The proposed methods provide an iterative and flexible framework for guiding group decision making.

Suggested Citation

  • L. Sun & B. S. Greenberg, 2006. "Multicriteria Group Decision Making: Optimal Priority Synthesis from Pairwise Comparisons," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 317-339, August.
    • Handle: RePEc:spr:joptap:v:130:y:2006:i:2:d:10.1007_s10957-006-9107-7
    DOI: 10.1007/s10957-006-9107-7
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    References listed on IDEAS

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    1. James S. Dyer, 1990. "Remarks on the Analytic Hierarchy Process," Management Science, INFORMS, vol. 36(3), pages 249-258, March.
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    6. Zahir, Sajjad, 1999. "Geometry of decision making and the vector space formulation of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 112(2), pages 373-396, January.
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    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.
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    Cited by:

    1. Changsheng Lin & Gang Kou & Daji Ergu, 2013. "An improved statistical approach for consistency test in AHP," Annals of Operations Research, Springer, vol. 211(1), pages 289-299, December.
    2. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    3. Petra Grošelj & Špela Pezdevšek Malovrh & Lidija Zadnik Stirn, 2011. "Methods based on data envelopment analysis for deriving group priorities in analytic hierarchy process," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 267-284, September.
    4. Grošelj, Petra & Zadnik Stirn, Lidija, 2012. "Acceptable consistency of aggregated comparison matrices in analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 223(2), pages 417-420.
    5. Daji Ergu & Gang Kou & János Fülöp & Yong Shi, 2014. "Further Discussions on Induced Bias Matrix Model for the Pair-Wise Comparison Matrix," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 980-993, June.

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