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An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations

Author

Listed:
  • Shu-Ping Wan

    (Jiangxi University of Finance and Economics)

  • Feng Wang

    (Jiangxi University of Finance and Economics)

  • Gai-li Xu

    (Jiangxi University of Finance and Economics)

  • Jiu-ying Dong

    (Jiangxi University of Finance and Economics
    Jiangxi University of Finance and Economics)

  • Jing Tang

    (Teesside University)

Abstract

The paper develops a new intuitionistic fuzzy (IF) programming method to solve group decision making (GDM) problems with interval-valued fuzzy preference relations (IVFPRs). An IF programming problem is formulated to derive the priority weights of alternatives in the context of additive consistent IVFPR. In this problem, the additive consistent conditions are viewed as the IF constraints. Considering decision makers’ (DMs’) risk attitudes, three approaches, including the optimistic, pessimistic and neutral approaches, are proposed to solve the constructed IF programming problem. Subsequently, a new consensus index is defined to measure the similarity between DMs according to their individual IVFPRs. Thereby, DMs’ weights are objectively determined using the consensus index. Combining DMs’ weights with the IF program, a corresponding IF programming method is proposed for GDM with IVFPRs. An example of E-Commerce platform selection is analyzed to illustrate the feasibility and effectiveness of the proposed method. Finally, the IF programming method is further extended to the multiplicative consistent IVFPR.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:3:d:10.1007_s10700-016-9250-z
    DOI: 10.1007/s10700-016-9250-z
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    References listed on IDEAS

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    3. Jianping Lu & Tingting He & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method," IJERPH, MDPI, vol. 17(6), pages 1-21, March.

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