A method to solve Pythagorean fuzzy transportation problems

• Published in: International journal of system assurance engineering and management Vol. 14; no. 5; pp. 1847 - 1854
• Main Authors: Bhatia, Tanveen Kaur, Kumar, Amit, Appadoo, S. S., Sharma, M. K.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2023; Springer Nature B.V
• Subjects: Engineering; Engineering Economics; Fuzzy systems; Logistics; Marketing; Organization; Original Article; Quality Control; Real numbers; Reliability; Safety and Risk; Transportation; Pythagorean fuzzy numbers; Non-linear programming problem; Pythagorean fuzzy transportation problem (PyFTP); Crisp transportation problem (CTP)
• ISSN: 0975-6809; 0976-4348
• DOI: 10.1007/s13198-023-02010-2

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.