IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v64y2013i12p1831-1840.html
   My bibliography  Save this article

Hesitant fuzzy Bonferroni means for multi-criteria decision making

Author

Listed:
  • B Zhu

    (School of Economics and Management, Southeast University, Jiangsu, China)

  • Z S Xu

    (School of Economics and Management, Southeast University, Jiangsu, China)

Abstract

Due to the desirable characteristic of the Bonferroni mean (BM) that it can capture the interrelationship between input arguments, and in order to provide the properties and the modelling capability of the BMs under hesitant fuzzy environment, we explore some new hesitant fuzzy Bonferroni means (HFBMs). The properties and the special cases of HFBMs are studied in detail. We specially define a concept of hesitant Bonferroni element (HBE), which is considered as a ‘bonding satisfaction’ factor used as a calculation unit in the HFBM. The HBE can reflect the correlation between hesitant fuzzy arguments, which makes the HFBM have particular advantages in aggregating arguments. In addition, the weighted hesitant fuzzy Bonferroni mean (WHFBM) is also proposed considering different importance degrees of input arguments. Furthermore, the procedure of multi-criteria decision making based on the WHFBM is given under hesitant fuzzy environment as typical applications, which has much sense in theory and practice for the BM.

Suggested Citation

  • B Zhu & Z S Xu, 2013. "Hesitant fuzzy Bonferroni means for multi-criteria decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(12), pages 1831-1840, December.
  • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:12:p:1831-1840
    as

    Download full text from publisher

    File URL: http://www.palgrave-journals.com/jors/journal/v64/n12/pdf/jors20137a.pdf
    File Function: Link to full text PDF
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: http://www.palgrave-journals.com/jors/journal/v64/n12/full/jors20137a.html
    File Function: Link to full text HTML
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

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


    Cited by:

    1. Jalil Heidary Dahooie & Amir Salar Vanaki & Hamid Reza Firoozfar & Edmundas Kazimieras Zavadskas & Audrius Čereška, 2020. "An Extension of the Failure Mode and Effect Analysis with Hesitant Fuzzy Sets to Assess the Occupational Hazards in the Construction Industry," IJERPH, MDPI, vol. 17(4), pages 1-22, February.
    2. Shuli Liu & Xinwang Liu, 2016. "A Sample Survey Based Linguistic MADM Method with Prospect Theory for Online Shopping Problems," Group Decision and Negotiation, Springer, vol. 25(4), pages 749-774, July.
    3. Zhang, Hong-yu & Ji, Pu & Wang, Jian-qiang & Chen, Xiao-hong, 2017. "A novel decision support model for satisfactory restaurants utilizing social information: A case study of TripAdvisor.com," Tourism Management, Elsevier, vol. 59(C), pages 281-297.
    4. 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.
    5. Xiaorong He, 2018. "Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(3), pages 1153-1175, February.
    6. Runtong Zhang & Jun Wang & Xiaomin Zhu & Meimei Xia & Ming Yu, 2017. "Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-16, August.
    7. Xiaoyan Zhang & Qian Yang, 2022. "A Novel Method for Decision Making by Double-Quantitative Rough Sets in Hesitant Fuzzy Systems," Mathematics, MDPI, vol. 10(12), pages 1-24, June.
    8. Hao Xu & Liuxin Chen & Qiongfang Li & Jianchao Yang, 2021. "A Multi-Attribute Decision Method under Uncertainty Environment Conditions—The Green Supplier Evaluation Perspective," IJERPH, MDPI, vol. 18(1), pages 1-15, January.
    9. Wei Yang & Yongfeng Pang, 2022. "T-Spherical Fuzzy Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 10(6), pages 1-33, March.
    10. Guiwu Wei & Cun Wei & Jiang Wu & Hongjun Wang, 2019. "Supplier Selection of Medical Consumption Products with a Probabilistic Linguistic MABAC Method," IJERPH, MDPI, vol. 16(24), pages 1-15, December.

    More about this item

    Statistics

    Access and download statistics

    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:pal:jorsoc:v:64:y:2013:i:12:p:1831-1840. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.