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An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule

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  • Liao, Huchang
  • Wu, Xingli
  • Mi, Xiaomei
  • Herrera, Francisco

Abstract

The ELECTRE (ELimination Et Choix Traduisant la REalité, in French) is an effective multiple criteria decision making method based on comparative analysis. Among the family of the ELECTRE methods and their extensions, the ELECTRE III is widely used since it can tackle uncertain and imprecise information. The hesitant fuzzy linguistic term set can represent people's perceptions more comprehensively and flexibly than exact numbers especially in cognitive complex decision-making process. In this paper, we develop an integrated method based on the ELECTRE III to handle the cognitive complex multiple experts multiple criteria decision making problems in which the cognitive complex information is represented by hesitant fuzzy linguistic term sets and the outranking relations between alternatives are calculated by a novel score-function-based distance measure between hesitant fuzzy linguistic elements. A combinative weight-determining method involving both subjective and objective opinions of experts is introduced to derive the weights of criteria. After obtaining the ranking of alternatives from each experts’ decision matrix by the distillation algorithm, the weighted Borda rule is implemented to aggregate the rankings of alternatives regarding different experts. Some ordinal consensus measures are introduced to identify the reliability of the final ranking result. An application of hospital ranking in China is provided to validate the efficiency of the proposed method.

Suggested Citation

  • Liao, Huchang & Wu, Xingli & Mi, Xiaomei & Herrera, Francisco, 2020. "An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule," Omega, Elsevier, vol. 93(C).
    • Handle: RePEc:eee:jomega:v:93:y:2020:i:c:s0305048318304079
    DOI: 10.1016/j.omega.2019.03.010
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    Cited by:

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    3. Ruichen Zhang & Zeshui Xu & Xunjie Gou, 2023. "ELECTRE II method based on the cosine similarity to evaluate the performance of financial logistics enterprises under double hierarchy hesitant fuzzy linguistic environment," Fuzzy Optimization and Decision Making, Springer, vol. 22(1), pages 23-49, March.
    4. Liu, Xianliang & Ma, Yonghao, 2021. "A method to analyze the rank reversal problem in the ELECTRE II method," Omega, Elsevier, vol. 102(C).
    5. Jinshan Ma & Zhiqi Yuan & Guanghua Zheng & Fushan Lang, 2022. "Combination Generalized Grey Target Decision Method for Mixed Attributes Based on Zero-Sum Game Theory," Group Decision and Negotiation, Springer, vol. 31(6), pages 1121-1143, December.
    6. Zhongqiong Qu & Yongxin Wei & Xun Li, 2021. "Risk Perception of Rural Land Supply Reform in China: From the Perspective of Stakeholders," Agriculture, MDPI, vol. 11(7), pages 1-25, July.
    7. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
    8. Guohua Qu & Zhijie Zhang & Weihua Qu & Zeshui Xu, 2020. "Green Supplier Selection Based on Green Practices Evaluated Using Fuzzy Approaches of TOPSIS and ELECTRE with a Case Study in a Chinese Internet Company," IJERPH, MDPI, vol. 17(9), pages 1-32, May.

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