The multi-objective solid transshipment problem with preservation technology under fuzzy environment

To evaluate the efficiency of the preservation technology in the transshipment problem for transporting perishable products throughout the entire distribution system. A mathematical model for multi-objective solid transshipment problem incorporating preservation technology is formulated and a numerical example is provided to validate the effectiveness of this proposed model. To make the problem realistic, all the parameters are considered under a neutrosophic fuzzy environment. Weighted tchebycheff metrics programming has been used to obtain the Pareto-optimal solution of the proposed model. Comparative analysis has been done for multi-objective solid transshipment problems with and without preservation technology. Additionally, comparative analysis has been made for both multi-objective solid transshipment and multi-objective solid transportation problems with and without the inclusion of preservation technology. Also, comparative analysis has been made for multi-objective solid transportation problems with and without the inclusion of preservation technology under the Neutrosophic and Pythagorean fuzzy environments. Optimum Solutions obtained for a given numerical example using the prescribed method reveal that the multi-objective solid transshipment problem with preservation technology gives the minimum deterioration rate and higher transportation cost than the case without preservation technology. While the transportation cost increases, incorporating preservation technology into the transshipment problem enhances both the quality and quantity of perishable items in the distribution system. The efficiency of the multi-objective solid transshipment problem with preservation technology under a neutrosophic fuzzy environment is not yet investigated in the literature.