New Ranking Approach of Intuitionistic Fuzzy Sets and Its Application in Cognitive Transportation Problem

Bornali Saikia () and Palash Dutta ()
Additional contact information
Bornali Saikia: Sadiya College
Palash Dutta: Dibrugarh University

SN Operations Research Forum, 2025, vol. 6, issue 3, 1-46

Abstract: Abstract In addressing the challenges of solving real-life transportation problems, we frequently encounter uncertainties and hesitation stemming from some uncontrollable circumstances. To cope with such challenges, various mathematical tools have been introduced by researchers. In this paper, we introduce a new ranking approach for triangular and trapezoidal intuitionistic fuzzy sets. This approach is based on the concept of degrees of membership and non-membership of intuitionistic fuzzy sets. We also include some numerical examples to demonstrate the effectiveness of our proposed ordering approach. Furthermore, we discuss on finding optimal solution of intuitionistic fuzzy transportation problems. To perform this, we have utilized this ordering approach to develop methods for finding initial basic feasible solutions and optimal solutions to transportation problems. Also, the method is elaborated by some adopted case studies which are followed by graphical representation and discussion of the observations. At length, we perform statistical tests and analyze the results to discuss the importance of our proposed approach.

Keywords: Intuitionistic fuzzy set; Ranking; Triangular intuitionistic fuzzy set; Trapezoidal intuitionistic fuzzy set; Transportation problem (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s43069-025-00519-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:snopef:v:6:y:2025:i:3:d:10.1007_s43069-025-00519-9

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/43069

DOI: 10.1007/s43069-025-00519-9

Access Statistics for this article

SN Operations Research Forum is currently edited by Marco Lübbecke

More articles in SN Operations Research Forum from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().