Interval Valued Intuitionistic Fuzzy Diagonal Optimal Algorithm to Solve Transportation Problems

Civilization is established as a result of transportation activities all over the world. Transportation plays a major role for the economic growth of the country. An optimizer seeks to minimize the transportation cost in order to maximize the profit when dealing with transportation issues. However, the transportation costs may differ due to a variety of unforeseeable factors. To handle with the uncertainty and hesitation factors that arise in real-world transportation problems, the cost parameters of the transportation problem are modelled here as interval valued intuitionistic fuzzy numbers. To solve the transportation problem, a new subtraction operation is developed, and the diagonal optimal method is applied for interval valued triangular and trapezoidal intuitionistic fuzzy numbers. In addition, a new ordering for interval valued trapezoidal intuitionistic fuzzy numbers based on the Yager’s formula which is in the existing ordering of interval valued triangular intuitionistic fuzzy numbers is proposed. However, numerical examples demonstrate the feasibility of the proposed approach, and the obtained results are compared to existing ones.