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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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