TARU PUBLICATIONS
 Journal of Statistics and Management Systems cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510

Monthly Journal: Publishes peer-reviewed aticles on theoretical and applied statistics and management systems, expoloring industrial statistics, actuarial and decision sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Optimizing transportation network through IFN ranking : A comprehensive approach

* , ,

* Corresponding author · click or hover a name for details

pp. 795–808Vol. 28Issue 4May 2025DOI: 10.47974/JSMS-1418XML
Received:
09 Jul 2024
Published Online:
28 Apr 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1418
Pages:
795–808

Abstract

The model of an Intuitionistic Uncertain Numeral is important used for computing an uncertain number, and ordering IFNs poses a significant contest in transport. This paper objects to present a method for resolving intuitionistic uncertain transport difficulties using IFNs and applying it to triangular intuitionistic fuzzy numbers. This research introduces an innovative approach to optimizing transportation networks by leveraging Intuitionistic Fuzzy Numbers (IFNs). Real-world case studies validate the superiority of the proposed IFN-based system over traditional methods, emphasizing its ability to address uncertainties in transportation decision-making effectively. This study explores a novel position function intended for intuitionistic three-sided fuzzy numbers and utilizes it trendy a convex combination of the orthocentre of centroids of three triangles by dividing the trapezoidal shape and finding the centroid of the centroid of three triangles. The selected transportation problems of balanced types aim to obtain optimal solutions through the use of the orthocentre of centroids ranking methods in IFN, employing existing initial basic feasible solution, optimum solution, and comparison with existing methods. Numerical examples are provided. The study’s outcomes provide a valuable tool for policymakers, researchers, and practitioners, enhancing the accuracy of decision models and fostering a deeper understanding of trade-offs in transportation network optimization.

Keywords

Subject Classifications

90C0803E7290B10

References

[1] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338-353 (1965).
[2] S. Babu, Y. Thorani, and N. R. Shankar, “Ranking generalized fuzzy numbers using centroid of centroids,” Int. J. Fuzzy Logic Syst., vol. 2, no. 3, pp. 17-32 (2012).
[3] G. Gupta and K. Anupum, “An efficient method for solving intuitionistic fuzzy transportation problem of type-2,” Int. J. Appl. Comput. Math., vol. 3, pp. 3795-3804 (2017).
[4] F. L. Hitchcock, “The distribution of a product from several sources to numerous localities,” J. Math. Phys., vol. 20, no. 1-4, pp. 224-230 (1941).
[5] H.-J. Zimmermann, “Fuzzy programming and linear programming with several objective functions,” Fuzzy Sets Syst., vol. 1, no. 1 (1978).
[6] A. Kaur and A. Kumar, “A new method for solving fuzzy transportation problems using ranking function,” Appl. Math. Model., vol. 35, no. 12 (2011).
[7] A. Gupta and A. Kumar, “A new method for solving linear multi-objective transportation problems with fuzzy parameters,” Appl. Math. Model., vol. 36, no. 4, pp. 1421-1430 (2012).
[8] K. T. Atanassov, On Intuitionistic Fuzzy Sets Theory, vol. 283. Springer (2012).
[9] K. T. Atanassov, S. Aggarwal, and C. Gupta, “A novel algorithm for solving intuitionistic fuzzy transportation problem via new ranking method,” Annals Fuzzy Math. Inform. (2014). 
[10] R. J. P. Antony, S. J. Savarimuthu, and T. Pathinathan, “Method for solving the transportation problem using triangular intuitionistic fuzzy number,” Int. J. Comput. Algorithm, vol. 3, no. 1, pp. 590-605 (2014). 
[11] D. Chhibber, D. Bisht, and P. K. Srivastava, “Ranking approach based on incenter in triangle of centroids to solve type-1 and type-2 fuzzy transportation problem,” in AIP Conf. Proc., vol. 2061, no. 1 (2019).
[12] S. K. Singh and S. P. Yadav, “A new approach for solving intuitionistic fuzzy transportation problem of type-2,” Ann. Oper. Res., vol. 243, pp. 349-363 (2016). 
[13] R. Rasuli, “Intuitionistic fuzzy congruences on product lattices under norms,” J. Interdisciplinary. Math., vol. 24, no. 5, pp. 1281-1304 (2021), doi: 10.1080/09720502.2020.1827700.

Views: 130Downloads: 79Citations: 0