A fully intuitionistic fuzzy multi-objective linear fractional fixed charge optimization model for sustainable transportation planning in the sugar-mill industry

Sustainability has recently grown to be a primary focus for transport planning and policies in both developing and developed nations. The paper focuses on the sustainability of a multiobjective linear fractional fixed charge transportation model that utilizes trapezoidal intuitionistic fuzzy numbers to define all the variables and parameters. A novel approach, which has three stages, is presented based on the amalgamation of fuzzy AHP and goal programming techniques. The first stage streamlines the proposed model by employing arithmetic operations for trapezoidal intuitionistic fuzzy numbers, thus converting the fuzzy constraints into crisp ones. In stage two, the model undergoes further transformation into a linear optimization model by utilizing the goal programming approach and linearization technique. The third stage describes how the weights are derived using fuzzy AHP, which are then assigned to objectives. To support the proposed methodology, an application in the sugar mill industry has been illustrated by designing a sustainable transport infrastructure. The solution of the obtained model is computed using easily accessible software. A comparison is drawn between the proposed and existing techniques, and it is concluded that the proposed methodology gives the minimum transportation cost compared to the existing methods.