An approach for solving fully generalized intuitionistic fuzzy transportation problems

In this paper, we study the transportation problem defined as generalized triangular intuitionistic fuzzy transportation problem (GTIFTP). To handle the above-defined transportation problem, we propose a new criteria for ordering generalized triangular intuitionistic fuzzy numbers (GTIFNs). We define this ordering on index of optimism-based expected value of GTIFN, which can also be used to deal with various other optimization problems. We discuss limitations of some of the existing ranking approaches for intuitionistic fuzzy numbers. Further, we discuss the reasonable properties of this ordering method. We also suggest a new algorithm to solve GTIFTPs, which is numerically efficient and involves less complex calculations than the existing methods. To illustrate our proposed approach and to make it more understandable, we solve three numerical examples with parameters in different combinations of GTIFNs, triangular intuitionistic fuzzy numbers and crisp numbers. Comparative analysis of this method is also done with some existing methods and we finally draw some conclusions.