IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/604029.html
   My bibliography  Save this article

Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making

Author

Listed:
  • Jin Han Park
  • Eun Jin Park

Abstract

The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developed the fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM) operators. In this paper, we study desirable properties of these operators and extend them, by considering the correlations of any three aggregated arguments instead of any two, to develop generalized fuzzy weighted Bonferroni harmonic mean (GFWBHM) operator and generalized fuzzy ordered weighted Bonferroni harmonic mean (GFOWBHM) operator. In particular, all these operators can be reduced to aggregate interval or real numbers. Then based on the GFWBHM and GFOWBHM operators, we present an approach to multiple attribute group decision making and illustrate it with a practical example.

Suggested Citation

  • Jin Han Park & Eun Jin Park, 2013. "Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-14, September.
    • Handle: RePEc:hin:jnljam:604029
    DOI: 10.1155/2013/604029
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/604029.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/604029.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/604029?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
    ---><---

    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:hin:jnljam:604029. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.