IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-35668-1_16.html
   My bibliography  Save this book chapter

Advanced TOPSIS-Based College Selection MCGDM Problem in Trapezoidal Pythagorean Fuzzy Environment

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • Avishek Chakraborty

    (Academy of Technology, Adisaptagram, Department of Engineering Science)

  • Tipu Sultan Haque

    (Indian Institute of Engineering Science and Technology, Department of Mathematics)

  • Rasel Mondal

    (Indian Institute of Engineering Science and Technology, Department of Mathematics)

  • Shariful Alam

    (Indian Institute of Engineering Science and Technology, Department of Mathematics)

Abstract

Technique for order preference by similarity to ideal solution (TOPSIS) is a celebrated technique to solve the decision-making problems. Pythagorean fuzzy set is a generalization of intuitionistic fuzzy set that can deal with uncertain and incomplete information more appropriately. The motivation of the study is to develop an improved TOPSIS technique in trapezoidal Pythagorean fuzzy environment that can handle real-life decision-making problems in more effective manner and robust way. In this chapter, we have defined trapezoidal Pythagorean fuzzy numbers and discussed their various algebraic properties. Then, new distance functions have been defined for the trapezoidal Pythagorean fuzzy environment that is used to calculate relative closeness coefficient. Furthermore, we have introduced an aggregation operator namely trapezoidal Pythagorean fuzzy weighted arithmetic operator, which is used to develop an improved TOPSIS technique based on new distance functions under the trapezoidal Pythagorean fuzzy environment. The newly developed TOPSIS technique has been demonstrated and applied it to select best institute/college. Finally, the comparative analysis and sensitivity analysis are given to discuss the advantages and reliability of the proposed technique.

Suggested Citation

  • Avishek Chakraborty & Tipu Sultan Haque & Rasel Mondal & Shariful Alam, 2023. "Advanced TOPSIS-Based College Selection MCGDM Problem in Trapezoidal Pythagorean Fuzzy Environment," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 343-376, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35668-1_16
    DOI: 10.1007/978-3-031-35668-1_16
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-031-35668-1_16. 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.springer.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.