IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/923213.html
   My bibliography  Save this article

Frank Aggregation Operators for Triangular Interval Type-2 Fuzzy Set and Its Application in Multiple Attribute Group Decision Making

Author

Listed:
  • Jindong Qin
  • Xinwang Liu

Abstract

This paper investigates an approach to multiple attribute group decision-making (MAGDM) problems, in which the individual assessments are in the form of triangle interval type-2 fuzzy numbers (TIT2FNs). Firstly, some Frank operation laws of triangle interval type-2 fuzzy set (TIT2FS) are defined. Secondly, some Frank aggregation operators such as the triangle interval type-2 fuzzy Frank weighted averaging (TIT2FFWA) operator and the triangle interval type-2 fuzzy Frank weighted geometric (TIT2FFWG) operator are developed for aggregation TIT2FNs. Furthermore, some desirable properties of the two aggregation operators are analyzed in detail. Finally, an approach based on TIT2FFWA (or TIT2FFWG) operator to solve MAGDM is developed. An illustrative example about supplier selection is provided to illustrate the developed procedures. The results demonstrate the practicality and effectiveness of our new method.

Suggested Citation

  • Jindong Qin & Xinwang Liu, 2014. "Frank Aggregation Operators for Triangular Interval Type-2 Fuzzy Set and Its Application in Multiple Attribute Group Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-24, September.
    • Handle: RePEc:hin:jnljam:923213
    DOI: 10.1155/2014/923213
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/923213.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2014/923213.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/923213?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
    ---><---

    Citations

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


    Cited by:

    1. Nagarajan, D. & Lathamaheswari, M. & Broumi, Said & Kavikumar, J., 2019. "A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets," Operations Research Perspectives, Elsevier, vol. 6(C).
    2. Arindam Dey & Anita Pal & Tandra Pal, 2016. "Interval Type 2 Fuzzy Set in Fuzzy Shortest Path Problem," Mathematics, MDPI, vol. 4(4), pages 1-19, October.

    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:923213. 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.