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Multi-criteria Group Decision Making with Various Ordinal Assessments

Author

Listed:
  • Wenjun Chang

    (Hefei University of Technology, Hefei
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies)

  • Chao Fu

    (Hefei University of Technology, Hefei
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies)

  • Nanping Feng

    (Hefei University of Technology, Hefei
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies)

  • Shanlin Yang

    (Hefei University of Technology, Hefei
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies)

Abstract

This paper proposes a method for addressing multi-criteria group decision making (MCGDM) problems with various types of ordinal assessments. In addition to two existing types of ordinal assessments including ordinal scale and ordinal interval, a new type of ordinal assessment named as ordinal distribution is developed, which is profiled by a belief distribution on a ranking framework of alternatives. Ordinal scales and ordinal intervals are transformed into ordinal distributions to implement unification of three types of ordinal assessments. Internal consistency about transformation from ordinal scales and ordinal intervals into ordinal distributions is theoretically analyzed and proven. To find solutions, dominating degrees between two alternatives are constructed based on the unified ordinal distributions to determine possibility degree to which one alternative is superior to another. A control mode selection problem for an enterprise located in Changzhou, Jiangsu, China, who mainly manufactures core parts of high-speed train, is analyzed using the proposed method to demonstrate its applicability. Based on the data in the control mode selection problem, internal consistency about transformation from ordinal scales and ordinal intervals into ordinal distributions is verified. It is also verified by simulation in a general case.

Suggested Citation

  • Wenjun Chang & Chao Fu & Nanping Feng & Shanlin Yang, 2021. "Multi-criteria Group Decision Making with Various Ordinal Assessments," Group Decision and Negotiation, Springer, vol. 30(6), pages 1285-1314, December.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:6:d:10.1007_s10726-020-09677-z
    DOI: 10.1007/s10726-020-09677-z
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    References listed on IDEAS

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    1. Hinloopen, Edwin & Nijkamp, Peter & Rietveld, Piet, 2004. "Integration of ordinal and cardinal information in multi-criteria ranking with imperfect compensation," European Journal of Operational Research, Elsevier, vol. 158(2), pages 317-338, October.
    2. Merigó, José M. & Casanovas, Montserrat & Yang, Jian-Bo, 2014. "Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators," European Journal of Operational Research, Elsevier, vol. 235(1), pages 215-224.
    3. Dong, Qingxing & Cooper, Orrin, 2016. "A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making," European Journal of Operational Research, Elsevier, vol. 250(2), pages 521-530.
    4. Wu, Desheng Dash, 2009. "Performance evaluation: An integrated method using data envelopment analysis and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 194(1), pages 227-235, April.
    5. Fu, Chao & Yang, Shan-Lin, 2010. "The group consensus based evidential reasoning approach for multiple attributive group decision analysis," European Journal of Operational Research, Elsevier, vol. 206(3), pages 601-608, November.
    6. Moshkovich, Helen M. & Mechitov, Alexander I. & Olson, David L., 2002. "Ordinal judgments in multiattribute decision analysis," European Journal of Operational Research, Elsevier, vol. 137(3), pages 625-641, March.
    7. Lahdelma, Risto & Miettinen, Kaisa & Salminen, Pekka, 2003. "Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA)," European Journal of Operational Research, Elsevier, vol. 147(1), pages 117-127, May.
    8. De Leeneer, Isabelle & Pastijn, Hugo, 2002. "Selecting land mine detection strategies by means of outranking MCDM techniques," European Journal of Operational Research, Elsevier, vol. 139(2), pages 327-338, June.
    9. Huang, Yeu-Shiang & Chang, Wei-Chen & Li, Wei-Hao & Lin, Zu-Liang, 2013. "Aggregation of utility-based individual preferences for group decision-making," European Journal of Operational Research, Elsevier, vol. 229(2), pages 462-469.
    10. Zhang, Huanhuan & Kou, Gang & Peng, Yi, 2019. "Soft consensus cost models for group decision making and economic interpretations," European Journal of Operational Research, Elsevier, vol. 277(3), pages 964-980.
    11. Punkka, Antti & Salo, Ahti, 2013. "Preference Programming with incomplete ordinal information," European Journal of Operational Research, Elsevier, vol. 231(1), pages 141-150.
    12. Liu, Bingsheng & Zhou, Qi & Ding, Ru-Xi & Palomares, Iván & Herrera, Francisco, 2019. "Large-scale group decision making model based on social network analysis: Trust relationship-based conflict detection and elimination," European Journal of Operational Research, Elsevier, vol. 275(2), pages 737-754.
    13. Rebai, Abdelwaheb & Aouni, Belaid & Martel, Jean-Marc, 2006. "A multi-attribute method for choosing among potential alternatives with ordinal evaluation," European Journal of Operational Research, Elsevier, vol. 174(1), pages 360-373, October.
    14. Yang, Jian-Bo, 2001. "Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties," European Journal of Operational Research, Elsevier, vol. 131(1), pages 31-61, May.
    15. Fu, Chao & Yang, Shanlin, 2012. "An evidential reasoning based consensus model for multiple attribute group decision analysis problems with interval-valued group consensus requirements," European Journal of Operational Research, Elsevier, vol. 223(1), pages 167-176.
    16. Fu, Chao & Chang, Wenjun & Xue, Min & Yang, Shanlin, 2019. "Multiple criteria group decision making with belief distributions and distributed preference relations," European Journal of Operational Research, Elsevier, vol. 273(2), pages 623-633.
    17. Meimei Xia & Zeshui Xu & Na Chen, 2013. "Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 259-279, March.
    18. Tavares, L. Valadares, 2012. "An acyclic outranking model to support group decision making within organizations," Omega, Elsevier, vol. 40(6), pages 782-790.
    19. Ma, Li-Ching, 2016. "A new group ranking approach for ordinal preferences based on group maximum consensus sequences," European Journal of Operational Research, Elsevier, vol. 251(1), pages 171-181.
    20. B. Ahn & S. Choi, 2012. "Aggregation of ordinal data using ordered weighted averaging operator weights," Annals of Operations Research, Springer, vol. 201(1), pages 1-16, December.
    21. Fu, Chao & Yang, Shanlin, 2011. "An attribute weight based feedback model for multiple attributive group decision analysis problems with group consensus requirements in evidential reasoning context," European Journal of Operational Research, Elsevier, vol. 212(1), pages 179-189, July.
    22. Liu, Hua-Wen & Wang, Guo-Jun, 2007. "Multi-criteria decision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, Elsevier, vol. 179(1), pages 220-233, May.
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