A method to solve Pythagorean fuzzy transportation problems

Tanveen Kaur Bhatia, Amit Kumar (), S. S. Appadoo and M. K. Sharma
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Tanveen Kaur Bhatia: School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to Be University)
Amit Kumar: School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to Be University)
S. S. Appadoo: University of Manitoba
M. K. Sharma: School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to Be University)

International Journal of System Assurance Engineering and Management, 2023, vol. 14, issue 5, No 19, 1847-1854

Abstract: Abstract Nagar et al. (Int J Syst Assur Eng Manag (2021). https://doi.org/10.1007/s13198-021-01339-w ) proposed a method to solve Pythagorean fuzzy transportation problems (transportation problems in which the unit transportation cost for supplying the product from a source to a destination is represented by a Pythagorean fuzzy number. Whereas, all other parameters are represented by a non-negative real number). Nagar et al. also claimed that their proposed method is more efficient as compared to the existing methods (Complex Intell Syst (2019) 5: 255–263, Adalya J (2020) 9(1): 1301–1308). In this paper, it is pointed out that in all these existing methods, some mathematical incorrect assumptions are considered. Therefore, it is inappropriate to use these existing methods to solve Pythagorean fuzzy transportation problems. To resolve the inappropriateness of these existing methods, a new method (named as Mehar method) is proposed to solve Pythagorean fuzzy transportation problems.

Keywords: Pythagorean fuzzy numbers; Pythagorean fuzzy transportation problem (PyFTP); Crisp transportation problem (CTP); Non-linear programming problem (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13198-023-02010-2

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