The Theory and Applications of the Software-Based PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems

Abstract

It proposes the PSK (P. Senthil Kumar) method for solving intuitionistic fuzzy solid transportation problems (IFSTPs). In our daily life, uncertainty comes in many ways, e.g., the transportation cost (TC) is not a fixed one, it varies from time to time due to market conditions (i.e., the price of diesel is depending on the cost of crude oil), mode of the transportation, etc. So, to deal with the TP having uncertainty and hesitation in TC, in this chapter, the author divided IFSTP into 4 categories and solved type II- IFSTP by using TIFNs. The model of type II- IFSTP and its relevant CSTP both are presented. The PSK method is presented clearly with the proof of some theorems and corollary. To illustrate the PSK method with proposed models, the numerical experiment and its related graphs are presented. Real-life problems are identified and solved by the PSK method with MATLAB and LINGO software. Analysis, discussion, merits, and demerits of the PSK method are all presented. A valid conclusion and recommendations are given. Finally, some of the future research areas are also suggested.