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The ELECTRE I Multi-Criteria Decision-Making Method Based on Hesitant Fuzzy Sets

Author

Listed:
  • Na Chen

    (School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China;
    School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, China)

  • Zeshui Xu

    (Business School, Sichuan University, Chengdu 610064, P. R. China)

  • Meimei Xia

    (School of Economics and Management, Tsinghua University, Beijing 100084, China)

Abstract

Hesitant fuzzy set (HFS), which allows the membership degree of an element to a set represented by several possible values, is considered as a powerful tool to express uncertain information in the process of multi-criteria decision making (MCDM) problems. In this paper, we develop a hesitant fuzzy ELECTRE I (HF-ELECTRE I) method and apply it to solve the MCDM problem under hesitant fuzzy environments. The new method is formulated using the concepts of hesitant fuzzy concordance and hesitant fuzzy discordance which are based on the given score function and deviation function, and employed to determine the preferable alternative. Numerical examples are provided to demonstrate the application of the proposed method, and the influence of different numbers of alternatives on outranking relations is analyzed based on a derived sensitive parameter interval in which a change in the parameters has no effects on the set of the nonoutranked alternatives. The randomly generated numerical cases are also investigated in the framework of the HF-ELECTRE I method. Furthermore, the outranking relations obtained in the HF-ELECTRE I method with those derived from the aggregation operator-based approach and the ELECTRE III and ELECTRE IV methods are discussed.

Suggested Citation

  • Na Chen & Zeshui Xu & Meimei Xia, 2015. "The ELECTRE I Multi-Criteria Decision-Making Method Based on Hesitant Fuzzy Sets," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 621-657.
    • Handle: RePEc:wsi:ijitdm:v:14:y:2015:i:03:n:s0219622014500187
    DOI: 10.1142/S0219622014500187
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    References listed on IDEAS

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    1. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
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    Cited by:

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    2. Anderson Kenji Hirose & Cassius Tadeu Scarpin & José Eduardo Pécora Junior, 2020. "Goal programming approach for political districting in Santa Catarina State: Brazil," Annals of Operations Research, Springer, vol. 287(1), pages 209-232, April.
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    4. Cheng, Xiu & Long, Ruyin & Chen, Hong & Yang, Jiahui, 2019. "Does social interaction have an impact on residents’ sustainable lifestyle decisions? A multi-agent stimulation based on regret and game theory," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    5. Mousavi, M. & Gitinavard, H. & Mousavi, S.M., 2017. "A soft computing based-modified ELECTRE model for renewable energy policy selection with unknown information," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P1), pages 774-787.
    6. Sharad Singh & Akhilesh Barve & Saket Shanker & Hritika Sharma, 2023. "Confronting Barriers: An Efficacious Higher Education System Implementation in India," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1961-1980, October.
    7. Narayanamoorthy, Samayan & Pragathi, Subramaniam & Shutaywi, Meshal & Ahmadian, Ali & Kang, Daekook, 2022. "Analysis of Vaccine efficacy during the COVID-19 pandemic period using CSF-ELECTRE-I approach," Operations Research Perspectives, Elsevier, vol. 9(C).
    8. Antonella Petrillo & Pasquale Carotenuto & Ilaria Baffo & Fabio De Felice, 2018. "A web-based multiple criteria decision support system for evaluation analysis of carpooling," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(5), pages 2321-2341, October.
    9. Idil Yavuz & Orrin Cooper, 2017. "A dynamic clustering method to improve the coherency of an ANP Supermatrix," Annals of Operations Research, Springer, vol. 254(1), pages 507-531, July.
    10. Arooj Adeel & Muhammad Akram & Ali N.A. Koam, 2019. "Multi-Criteria Decision-Making under m HF ELECTRE-I and H m F ELECTRE-I," Energies, MDPI, vol. 12(9), pages 1-30, May.
    11. Weizhang Liang & Bing Dai & Guoyan Zhao & Hao Wu, 2019. "Assessing the Performance of Green Mines via a Hesitant Fuzzy ORESTE–QUALIFLEX Method," Mathematics, MDPI, vol. 7(9), pages 1-19, August.

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