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A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP

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  • Carmone, Frank J.
  • Kara, Ali
  • Zanakis, Stelios H.

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  • Carmone, Frank J. & Kara, Ali & Zanakis, Stelios H., 1997. "A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 102(3), pages 538-553, November.
  • Handle: RePEc:eee:ejores:v:102:y:1997:i:3:p:538-553
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    1. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    2. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    3. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    4. Lim, Kai H. & Swenseth, Scott R., 1993. "An iterative procedure for reducing problem size in large scale AHP problems," European Journal of Operational Research, Elsevier, vol. 67(1), pages 64-74, May.
    5. Fatemeh Zahedi, 1986. "The Analytic Hierarchy Process---A Survey of the Method and its Applications," Interfaces, INFORMS, vol. 16(4), pages 96-108, August.
    6. Keller, Kevin Lane & Staelin, Richard, 1989. "Assessing Biases in Measuring Decision Effectiveness and Information Overload," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 15(4), pages 504-508, March.
    7. Malhotra, Naresh K, 1982. "Information Load and Consumer Decision Making," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 8(4), pages 419-430, March.
    8. Jacoby, Jacob & Szybillo, Geroge J & Busato-Schach, Jacqueline, 1977. "Information Acquisition Behavior in Brand Choice Situations," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 3(4), pages 209-216, March.
    9. Dwight R. Lee & Richard B. McKenzie, 1987. "Analysis," Challenge, Taylor & Francis Journals, vol. 30(4), pages 55-56, July.
    10. Scammon, Debra L, 1977. ""Information Load" and Consumers," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 4(3), pages 148-155, December.
    11. Millet, Ido & Harker, Patrick T., 1990. "Globally effective questioning in the Analytic Hierarchy Process," European Journal of Operational Research, Elsevier, vol. 48(1), pages 88-97, September.
    12. Paul J. H. Schoemaker & C. Carter Waid, 1982. "An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models," Management Science, INFORMS, vol. 28(2), pages 182-196, February.
    13. Patrick T. Harker & Luis G. Vargas, 1987. "The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process," Management Science, INFORMS, vol. 33(11), pages 1383-1403, November.
    14. Belton, Valerie, 1986. "A comparison of the analytic hierarchy process and a simple multi-attribute value function," European Journal of Operational Research, Elsevier, vol. 26(1), pages 7-21, July.
    15. Zahedi, Fatemeh, 1986. "A simulation study of estimation methods in the analytic hierarchy process," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 347-354.
    16. Belton, Valerie & Gear, Tony, 1983. "On a short-coming of Saaty's method of analytic hierarchies," Omega, Elsevier, vol. 11(3), pages 228-230.
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    Cited by:

    1. Fanhui Zeng & Xiaozhao Cheng & Jianchun Guo & Liang Tao & Zhangxin Chen, 2017. "Hybridising Human Judgment, AHP, Grey Theory, and Fuzzy Expert Systems for Candidate Well Selection in Fractured Reservoirs," Energies, MDPI, vol. 10(4), pages 1-22, April.
    2. Alessio Ishizaka & Philippe Nemery, 2013. "A Multi-Criteria Group Decision Framework for Partner Grouping When Sharing Facilities," Group Decision and Negotiation, Springer, vol. 22(4), pages 773-799, July.
    3. Baudry, Gino & Macharis, Cathy & Vallée, Thomas, 2018. "Range-based Multi-Actor Multi-Criteria Analysis: A combined method of Multi-Actor Multi-Criteria Analysis and Monte Carlo simulation to support participatory decision making under uncertainty," European Journal of Operational Research, Elsevier, vol. 264(1), pages 257-269.
    4. Wolfgang Gaul & Dominic Gastes, 2012. "A note on consistency improvements of AHP paired comparison data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 6(4), pages 289-302, December.
    5. Chinh Luu & Jason Meding & Sittimont Kanjanabootra, 2018. "Assessing flood hazard using flood marks and analytic hierarchy process approach: a case study for the 2013 flood event in Quang Nam, Vietnam," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(3), pages 1031-1050, February.
    6. Jalao, Eugene Rex & Wu, Teresa & Shunk, Dan, 2014. "An intelligent decomposition of pairwise comparison matrices for large-scale decisions," European Journal of Operational Research, Elsevier, vol. 238(1), pages 270-280.
    7. Lai, Po‐Lin & Potter, Andrew & Beynon, Malcolm & Beresford, Anthony, 2015. "Evaluating the efficiency performance of airports using an integrated AHP/DEA-AR technique," Transport Policy, Elsevier, vol. 42(C), pages 75-85.
    8. Matteo Brunelli & Michele Fedrizzi, 2019. "A general formulation for some inconsistency indices of pairwise comparisons," Annals of Operations Research, Springer, vol. 274(1), pages 155-169, March.
    9. Dede, Georgia & Kamalakis, Thomas & Sphicopoulos, Thomas, 2016. "Theoretical estimation of the probability of weight rank reversal in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 252(2), pages 587-600.
    10. Leung, L. C. & Cao, D., 2000. "On consistency and ranking of alternatives in fuzzy AHP," European Journal of Operational Research, Elsevier, vol. 124(1), pages 102-113, July.
    11. Brent, Alan C. & Rogers, David E.C. & Ramabitsa-Siimane, Tsaletseng S.M. & Rohwer, Mark B., 2007. "Application of the analytical hierarchy process to establish health care waste management systems that minimise infection risks in developing countries," European Journal of Operational Research, Elsevier, vol. 181(1), pages 403-424, August.
    12. Oliva, Gabriele & Faramondi, Luca & Setola, Roberto & Tesei, Marco & Zio, Enrico, 2021. "A multi-criteria model for the security assessment of large-infrastructure construction sites," International Journal of Critical Infrastructure Protection, Elsevier, vol. 35(C).
    13. Oliva, Gabriele & Scala, Antonio & Setola, Roberto & Dell’Olmo, Paolo, 2019. "Opinion-based optimal group formation," Omega, Elsevier, vol. 89(C), pages 164-176.
    14. Dianfa Wu & Zhiping Yang & Ningling Wang & Chengzhou Li & Yongping Yang, 2018. "An Integrated Multi-Criteria Decision Making Model and AHP Weighting Uncertainty Analysis for Sustainability Assessment of Coal-Fired Power Units," Sustainability, MDPI, vol. 10(6), pages 1-27, May.
    15. Chao, Xiangrui & Kou, Gang & Li, Tie & Peng, Yi, 2018. "Jie Ke versus AlphaGo: A ranking approach using decision making method for large-scale data with incomplete information," European Journal of Operational Research, Elsevier, vol. 265(1), pages 239-247.
    16. Bozóki, Sándor & Csató, László & Temesi, József, 2016. "An application of incomplete pairwise comparison matrices for ranking top tennis players," European Journal of Operational Research, Elsevier, vol. 248(1), pages 211-218.
    17. Yang, Taho & Kuo, Chunwei, 2003. "A hierarchical AHP/DEA methodology for the facilities layout design problem," European Journal of Operational Research, Elsevier, vol. 147(1), pages 128-136, May.
    18. Entani, Tomoe & Sugihara, Kazutomi, 2012. "Uncertainty index based interval assignment by Interval AHP," European Journal of Operational Research, Elsevier, vol. 219(2), pages 379-385.
    19. 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.
    20. Pablo Cabrera-Barona & Omid Ghorbanzadeh, 2018. "Comparing Classic and Interval Analytical Hierarchy Process Methodologies for Measuring Area-Level Deprivation to Analyze Health Inequalities," IJERPH, MDPI, vol. 15(1), pages 1-12, January.
    21. Tekile, Hailemariam Abebe & Brunelli, Matteo & Fedrizzi, Michele, 2023. "A numerical comparative study of completion methods for pairwise comparison matrices," Operations Research Perspectives, Elsevier, vol. 10(C).
    22. Siraj, S. & Mikhailov, L. & Keane, J.A., 2012. "Preference elicitation from inconsistent judgments using multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 220(2), pages 461-471.

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