IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v14y2015i03ns0219622014500187.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622014500187
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622014500187?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiaodi Liu & Zengwen Wang & Antoinette Hetzler, 2017. "HFMADM method based on nondimensionalization and its application in the evaluation of inclusive growth," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 18(4), pages 726-744, July.
    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.
    3. Yinan Wang & Heng Chen & Shuyuan Zhao & Lanxin Fan & Cheng Xin & Xue Jiang & Fan Yao, 2024. "Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method," Energies, MDPI, vol. 17(12), pages 1-23, June.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    2. Comino, E. & Ferretti, V., 2016. "Indicators-based spatial SWOT analysis: supporting the strategic planning and management of complex territorial systems," LSE Research Online Documents on Economics 64142, London School of Economics and Political Science, LSE Library.
    3. Kaveh Madani & Laura Read & Laleh Shalikarian, 2014. "Voting Under Uncertainty: A Stochastic Framework for Analyzing Group Decision Making Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1839-1856, May.
    4. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    5. Haurant, P. & Oberti, P. & Muselli, M., 2011. "Multicriteria selection aiding related to photovoltaic plants on farming fields on Corsica island: A real case study using the ELECTRE outranking framework," Energy Policy, Elsevier, vol. 39(2), pages 676-688, February.
    6. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 246-276, April.
    7. Juliana Martins Ruzante & Valerie J. Davidson & Julie Caswell & Aamir Fazil & John A. L. Cranfield & Spencer J. Henson & Sven M. Anders & Claudia Schmidt & Jeffrey M. Farber, 2010. "A Multifactorial Risk Prioritization Framework for Foodborne Pathogens," Risk Analysis, John Wiley & Sons, vol. 30(5), pages 724-742, May.
    8. Morgenroth, Edgar & FitzGerald, John & FitzGerald, John, 2006. "Summary and Conclusions," Book Chapters, in: Morgenroth, Edgar (ed.),Ex-Ante Evaluation of the Investment Priorities for the National Development Plan 2007-2013, chapter 24, pages 317-333, Economic and Social Research Institute (ESRI).
      • Baker, Terence J. & FitzGerald, John & Honohan, Patrick & FitzGerald, John & Honohan, Patrick, 1996. "Summary and Conclusions," Book Chapters, in: Baker, Terence J. (ed.),Economic Implications for Ireland of EMU, chapter 12, pages 339-352, Economic and Social Research Institute (ESRI).
    9. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2010. "Handling multicriteria preferences in cluster analysis," European Journal of Operational Research, Elsevier, vol. 202(3), pages 819-827, May.
    10. Pawel Lezanski & Maria Pilacinska, 2018. "The dominance-based rough set approach to cylindrical plunge grinding process diagnosis," Journal of Intelligent Manufacturing, Springer, vol. 29(5), pages 989-1004, June.
    11. García Cáceres, Rafael Guillermo & Aráoz Durand, Julián Arturo & Gómez, Fernando Palacios, 2009. "Integral analysis method - IAM," European Journal of Operational Research, Elsevier, vol. 192(3), pages 891-903, February.
    12. Roszkowska, Ewa & Wachowicz, Tomasz, 2015. "Application of fuzzy TOPSIS to scoring the negotiation offers in ill-structured negotiation problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 920-932.
    13. Sward, Jeffrey A. & Nilson, Roberta S. & Katkar, Venktesh V. & Stedman, Richard C. & Kay, David L. & Ifft, Jennifer E. & Zhang, K. Max, 2021. "Integrating social considerations in multicriteria decision analysis for utility-scale solar photovoltaic siting," Applied Energy, Elsevier, vol. 288(C).
    14. Amir Noori & Hossein Bonakdari & Khosro Morovati & Bahram Gharabaghi, 2018. "The optimal dam site selection using a group decision-making method through fuzzy TOPSIS model," Environment Systems and Decisions, Springer, vol. 38(4), pages 471-488, December.
    15. Roy, Bernard & Slowinski, Roman, 2008. "Handling effects of reinforced preference and counter-veto in credibility of outranking," European Journal of Operational Research, Elsevier, vol. 188(1), pages 185-190, July.
    16. Rubio-Aliaga, Alvaro & García-Cascales, M. Socorro & Sánchez-Lozano, Juan Miguel & Molina-Garcia, Angel, 2021. "MCDM-based multidimensional approach for selection of optimal groundwater pumping systems: Design and case example," Renewable Energy, Elsevier, vol. 163(C), pages 213-224.
    17. Catrinu, M.D. & Nordgård, D.E., 2011. "Integrating risk analysis and multi-criteria decision support under uncertainty in electricity distribution system asset management," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 663-670.
    18. Manley, Dawn K. & Hines, Valerie A. & Jordan, Matthew W. & Stoltz, Ronald E., 2013. "A survey of energy policy priorities in the United States: Energy supply security, economics, and the environment," Energy Policy, Elsevier, vol. 60(C), pages 687-696.
    19. Leimeister, Mareike & Kolios, Athanasios, 2018. "A review of reliability-based methods for risk analysis and their application in the offshore wind industry," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 1065-1076.
    20. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Post-Print halshs-00445132, HAL.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijitdm:v:14:y:2015:i:03:n:s0219622014500187. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.