A note on “An algorithmic approach to solve unbalanced triangular fuzzy transportation problems”

Muthuperumal et al. (Soft Comput (2020) 24: 18689–18698) proposed two different approaches to find an initial fuzzy basic feasible solution of unbalanced triangular fuzzy transportation problems (unbalanced transportation problems in which each parameter is represented by a triangular fuzzy number). Since, Muthuperumal et al. have claimed that less computational efforts are required to apply their proposed approaches as compared to other existing approaches. Therefore, in future, other researchers may use Muthuperumal et al.’s approaches to find an initial fuzzy basic feasible solution of real-life unbalanced triangular fuzzy transportation problems. However, it is observed that in actual case, the initial fuzzy basic solution, obtained by Muthuperumal et al.’s approaches, is not a fuzzy feasible solution. Hence, it is not appropriate to use Muthuperumal et al.’s approaches. The aim of this note is to point out the inconsistencies that exist in Muthuperumal et al.’s approaches.