The PSK Method

Abstract

We have several logics to obtain the fuzzy optimal solution for fuzzy transportation problems (FTPs). But there is no logic to solve transportation problem (TP) under four different uncertain environments using a particular method in the literature. So, the author divided the TP under four different environments and formulates the problems and utilizes the fuzzy numbers to solve them. A method, namely PSK (P. Senthil Kumar) method, to find the fuzzy optimal solutions to the FTPs is proposed. Applications of the PSK method compared to other existing methods are demonstrated with four different numerical examples. To illustrate the PSK method, different types of FTPs are solved by using the PSK method with the help of software, for example, Lingo, Matlab, Tora, RGui, and RStudio, and the obtained results are compared, analyzed, and discussed. Conclusions on the study and recommendations for future research are also given.