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A statistical approach to the analytic hierarchy process with interval judgements. (I). Distributions on feasible regions

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  • Haines, Linda M.

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  • Haines, Linda M., 1998. "A statistical approach to the analytic hierarchy process with interval judgements. (I). Distributions on feasible regions," European Journal of Operational Research, Elsevier, vol. 110(1), pages 112-125, October.
    • Handle: RePEc:eee:ejores:v:110:y:1998:i:1:p:112-125
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    1. Stewart, TJ, 1992. "A critical survey on the status of multiple criteria decision making theory and practice," Omega, Elsevier, vol. 20(5-6), pages 569-586.
    2. T. H. Matheiss & David S. Rubin, 1980. "A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets," Mathematics of Operations Research, INFORMS, vol. 5(2), pages 167-185, May.
    3. Solymosi, Tamas & Dombi, Jozsef, 1986. "A method for determining the weights of criteria: The centralized weights," European Journal of Operational Research, Elsevier, vol. 26(1), pages 35-41, July.
    4. Olson, D. L. & Dorai, V. K., 1992. "Implementation of the centroid method of Solymosi and Dombi," European Journal of Operational Research, Elsevier, vol. 60(1), pages 117-129, July.
    5. Arbel, Ami & Vargas, Luis G., 1993. "Preference simulation and preference programming: robustness issues in priority derivation," European Journal of Operational Research, Elsevier, vol. 69(2), pages 200-209, September.
    6. Arbel, Ami, 1989. "Approximate articulation of preference and priority derivation," European Journal of Operational Research, Elsevier, vol. 43(3), pages 317-326, December.
    7. Saaty, Thomas L. & Vargas, Luis G., 1987. "Uncertainty and rank order in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 32(1), pages 107-117, October.
    8. Salo, Ahti A. & Hamalainen, Raimo P., 1995. "Preference programming through approximate ratio comparisons," European Journal of Operational Research, Elsevier, vol. 82(3), pages 458-475, May.
    9. Islei, G. & Lockett, A. G., 1988. "Judgemental modelling based on geometric least square," European Journal of Operational Research, Elsevier, vol. 36(1), pages 27-35, July.
    10. Kress, Moshe, 1991. "Approximate articulation of preference and priority derivation -- a comment," European Journal of Operational Research, Elsevier, vol. 52(3), pages 382-383, June.
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    Cited by:

    1. Virgilio López-Morales, 2018. "A Reliable Method for Consistency Improving of Interval Multiplicative Preference Relations Expressed under Uncertainty," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 1561-1585, September.
    2. Mikhailov, L., 2004. "A fuzzy approach to deriving priorities from interval pairwise comparison judgements," European Journal of Operational Research, Elsevier, vol. 159(3), pages 687-704, December.
    3. Beynon, Malcolm, 2002. "An analysis of distributions of priority values from alternative comparison scales within AHP," European Journal of Operational Research, Elsevier, vol. 140(1), pages 104-117, July.
    4. Ahn, Byeong Seok & Park, Haechurl, 2014. "Establishing dominance between strategies with interval judgments of state probabilities," Omega, Elsevier, vol. 49(C), pages 53-59.
    5. Wang, Ying-Ming & Elhag, Taha M.S., 2007. "A goal programming method for obtaining interval weights from an interval comparison matrix," European Journal of Operational Research, Elsevier, vol. 177(1), pages 458-471, February.
    6. Ahn, Byeong Seok, 2017. "The analytic hierarchy process with interval preference statements," Omega, Elsevier, vol. 67(C), pages 177-185.
    7. Mustajoki, Jyri & Hamalainen, Raimo P. & Lindstedt, Mats R.K., 2006. "Using intervals for global sensitivity and worst-case analyses in multiattribute value trees," European Journal of Operational Research, Elsevier, vol. 174(1), pages 278-292, October.
    8. Conde, Eduardo, 2002. "Mean utility in the assurance region model," European Journal of Operational Research, Elsevier, vol. 140(1), pages 93-103, July.
    9. Cox, M.A.A., 2007. "Examining alternatives in the interval analytic hierarchy process using complete enumeration," European Journal of Operational Research, Elsevier, vol. 180(2), pages 957-962, July.
    10. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
    11. Zeshui Xu & Xiaoqiang Cai, 2013. "On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings," Group Decision and Negotiation, Springer, vol. 22(6), pages 997-1019, November.
    12. Mikhailov, L., 2002. "Fuzzy analytical approach to partnership selection in formation of virtual enterprises," Omega, Elsevier, vol. 30(5), pages 393-401, October.
    13. Conde, Eduardo & de la Paz Rivera Pérez, María, 2010. "A linear optimization problem to derive relative weights using an interval judgement matrix," European Journal of Operational Research, Elsevier, vol. 201(2), pages 537-544, March.
    14. Guo, Min & Yang, Jian-Bo & Chin, Kwai-Sang & Wang, Hongwei, 2007. "Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1294-1312, November.
    15. Xu, Dong-Ling & Yang, Jian-Bo & Wang, Ying-Ming, 2006. "The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1914-1943, November.
    16. Yulan Wang & Huayou Chen & Ligang Zhou, 2013. "Logarithm Compatibility of Interval Multiplicative Preference Relations with an Application to Determining the Optimal Weights of Experts in the Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 759-772, July.
    17. Hahn, Eugene D., 2006. "Link function selection in stochastic multicriteria decision making models," European Journal of Operational Research, Elsevier, vol. 172(1), pages 86-100, July.

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