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A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations

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  • Wang, Ying-Ming
  • Fan, Zhi-Ping
  • Hua, Zhongsheng

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  • Wang, Ying-Ming & Fan, Zhi-Ping & Hua, Zhongsheng, 2007. "A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 356-366, October.
    • Handle: RePEc:eee:ejores:v:182:y:2007:i:1:p:356-366
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    References listed on IDEAS

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    1. Sugihara, Kazutomi & Ishii, Hiroaki & Tanaka, Hideo, 2004. "Interval priorities in AHP by interval regression analysis," European Journal of Operational Research, Elsevier, vol. 158(3), pages 745-754, November.
    2. Fernandez, Eduardo & Leyva, Juan Carlos, 2004. "A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation," European Journal of Operational Research, Elsevier, vol. 154(1), pages 110-124, April.
    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    4. Lipovetsky, Stan & Michael Conklin, W., 2002. "Robust estimation of priorities in the AHP," European Journal of Operational Research, Elsevier, vol. 137(1), pages 110-122, February.
    5. Xu, Zeshui & Da, Qingli, 2005. "A least deviation method to obtain a priority vector of a fuzzy preference relation," European Journal of Operational Research, Elsevier, vol. 164(1), pages 206-216, July.
    6. Saaty, Thomas L., 1990. "Eigenvector and logarithmic least squares," European Journal of Operational Research, Elsevier, vol. 48(1), pages 156-160, September.
    7. L Mikhailov, 2000. "A fuzzy programming method for deriving priorities in the analytic hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(3), pages 341-349, March.
    8. Fan, Zhi-Ping & Ma, Jian & Jiang, Yan-Ping & Sun, Yong-Hong & Ma, Louis, 2006. "A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 174(1), pages 311-321, October.
    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.
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    Cited by:

    1. Peng Wu & Jinpei Liu & Ligang Zhou & Huayou Chen, 2022. "An Integrated Group Decision-Making Method with Hesitant Qualitative Information Based on DEA Cross-Efficiency and Priority Aggregation for Evaluating Factors Affecting a Resilient City," Group Decision and Negotiation, Springer, vol. 31(2), pages 293-316, April.
    2. Zhu, Bin & Xu, Zeshui, 2014. "Stochastic preference analysis in numerical preference relations," European Journal of Operational Research, Elsevier, vol. 237(2), pages 628-633.
    3. Zhu, Bin & Xu, Zeshui & Zhang, Ren & Hong, Mei, 2015. "Generalized analytic network process," European Journal of Operational Research, Elsevier, vol. 244(1), pages 277-288.
    4. 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.
    5. Michele Fedrizzi & Matteo Brunelli, 2008. "On the priority vector associated with a fuzzy preference relation and a multiplicative preference relation," DISA Working Papers 0807, Department of Computer and Management Sciences, University of Trento, Italy, revised 04 Sep 2008.
    6. Xiangrui Chao & Yucheng Dong & Gang Kou & Yi Peng, 2022. "How to determine the consensus threshold in group decision making: a method based on efficiency benchmark using benefit and cost insight," Annals of Operations Research, Springer, vol. 316(1), pages 143-177, September.
    7. Jianjun Zhu & Shitao Zhang & Ye Chen & Lili Zhang, 2016. "A Hierarchical Clustering Approach Based on Three-Dimensional Gray Relational Analysis for Clustering a Large Group of Decision Makers with Double Information," Group Decision and Negotiation, Springer, vol. 25(2), pages 325-354, March.
    8. Wan, Shuping & Wang, Feng & Dong, Jiuying, 2017. "Additive consistent interval-valued Atanassov intuitionistic fuzzy preference relation and likelihood comparison algorithm based group decision making," European Journal of Operational Research, Elsevier, vol. 263(2), pages 571-582.

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