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Some models for deriving the priority weights from interval fuzzy preference relations

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  • Xu, Zeshui
  • Chen, Jian

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  • 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.
  • Handle: RePEc:eee:ejores:v:184:y:2008:i:1:p:266-280
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    4. Sengupta, Atanu & Pal, Tapan Kumar, 2000. "On comparing interval numbers," European Journal of Operational Research, Elsevier, vol. 127(1), pages 28-43, November.
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    7. 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.
    8. 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.
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    10. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
    11. Islam, R. & Biswal, M. P. & Alam, S. S., 1997. "Preference programming and inconsistent interval judgments," European Journal of Operational Research, Elsevier, vol. 97(1), pages 53-62, February.
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    14. Arbel, Ami, 1989. "Approximate articulation of preference and priority derivation," European Journal of Operational Research, Elsevier, vol. 43(3), pages 317-326, December.
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    16. 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.
    17. Sajjad Zahir, M., 1991. "Incorporating the uncertainty of decision judgements in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 53(2), pages 206-216, July.
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    Cited by:

    1. Hu, Mingming & Ren, Peiyu & Lan, Jibin & Wang, Jun & Zheng, Weimin, 2014. "Note on “Some models for deriving the priority weights from interval fuzzy preference relations”," European Journal of Operational Research, Elsevier, vol. 237(2), pages 771-773.
    2. Meng, Fanyong & Tan, Chunqiao & Chen, Xiaohong, 2017. "Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study," Omega, Elsevier, vol. 68(C), pages 17-38.
    3. Xiaodong Yu & Atiq ur Rehman & Samina Ashraf & Muhammad Hussain & Shahzad Faizi, 2023. "Multiperson Decision-Making Using Consistent Interval-Valued Fuzzy Information with Application in Supplier Selection," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    4. Xiao Tan & Zaiwu Gong & Minji Huang & Zhou-Jing Wang, 2017. "Selecting Cooking Methods to Decrease Persistent Organic Pollutant Concentrations in Food of Animal Origin Using a Consensus Decision-Making Model," IJERPH, MDPI, vol. 14(2), pages 1-18, February.
    5. Huayou Chen & Ligang Zhou, 2012. "A Relative Entropy Approach to Group Decision Making with Interval Reciprocal Relations Based on COWA Operator," Group Decision and Negotiation, Springer, vol. 21(4), pages 585-599, July.
    6. Liu, Fang & Zhang, Wei-Guo & Zhang, Li-Hua, 2014. "Consistency analysis of triangular fuzzy reciprocal preference relations," European Journal of Operational Research, Elsevier, vol. 235(3), pages 718-726.
    7. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.
    8. Luo, Chunling & Tan, Chin Hon & Liu, Xiao, 2020. "Maximum excess dominance: Identifying impractical solutions in linear problems with interval coefficients," European Journal of Operational Research, Elsevier, vol. 282(2), pages 660-676.
    9. Zeshui Xu & Xiaoqiang Cai, 2012. "Uncertain Power Average Operators for Aggregating Interval Fuzzy Preference Relations," Group Decision and Negotiation, Springer, vol. 21(3), pages 381-397, May.
    10. Zhu, Bin & Xu, Zeshui, 2014. "Stochastic preference analysis in numerical preference relations," European Journal of Operational Research, Elsevier, vol. 237(2), pages 628-633.
    11. Shu-Ping Wan & Feng Wang & Gai-li Xu & Jiu-ying Dong & Jing Tang, 2017. "An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 16(3), pages 269-295, September.
    12. Schoop, Mareike (Ed.) & Kilgour, D. Marc (Ed.), 2017. "Doctoral consortium of the 17th International Conference on Group Decision and Negotiation," Hohenheim Discussion Papers in Business, Economics and Social Sciences 17-2017, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    13. 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.
    14. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    15. Jana Krejčí, 2019. "On extension of multiplicative consistency to interval fuzzy preference relations," Operational Research, Springer, vol. 19(3), pages 783-815, September.
    16. 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.
    17. Meimei Xia & Jian Chen, 2015. "Studies on Interval Multiplicative Preference Relations and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(1), pages 115-144, January.
    18. Fang Liu & Mao-Jie Huang & Cai-Xia Huang & Witold Pedrycz, 2022. "Measuring consistency of interval-valued preference relations: comments and comparison," Operational Research, Springer, vol. 22(1), pages 371-399, March.
    19. Jaroslav Ramík, 2018. "Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements," Fuzzy Optimization and Decision Making, Springer, vol. 17(3), pages 337-355, September.
    20. Wang, Zhou-Jing & Li, Kevin W., 2015. "A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices," European Journal of Operational Research, Elsevier, vol. 242(3), pages 890-900.
    21. Fang Liu & Jia-Wei Zhang & Qin Yu & Ya-Nan Peng & Witold Pedrycz, 2020. "On weak consistency of interval additive reciprocal matrices," Fuzzy Optimization and Decision Making, Springer, vol. 19(2), pages 153-175, June.
    22. Yibin Zhang & Kevin W. Li & Zhou-Jing Wang, 2017. "Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights," Group Decision and Negotiation, Springer, vol. 26(2), pages 409-436, March.
    23. Zhen Zhang & Chonghui Guo, 2017. "Deriving priority weights from intuitionistic multiplicative preference relations under group decision-making settings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1582-1599, December.
    24. Jinpei Liu & Zijie Qiang & Peng Wu & Pengcheng Du, 2023. "Multiple stage optimization driven group decision making method with interval linguistic fuzzy preference relations based on ordinal consistency and DEA cross-efficiency," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 309-336, June.
    25. 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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