aspg-21-3430-1791475505 20261008160505 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 4 L. Brigith Gladys Research Scholar, PG and Research Department of Mathematics, Holy Cross College (Autonomous) (Affiliated to Bharathidasan University), Trichy-620002, Tamil Nadu, India J. Merline Vinotha Assistant Professor, PG and Research Department of Mathematics, Holy Cross College (Autonomous) (Affiliated to Bharathidasan University), Trichy-620002, Tamil Nadu, India Cold transportation is one among the unquenching needs of people around the globe. Although cost sensitive, refrigerated transportation is preferred globally as it ensures the quality of perishable items in pharmaceutical, food and beverages, chemicals and certain other industries during transportation. However, many refrigerated vehicles fail in offering consistent preservation as most of their cooling units depend on the vehicle’s engine. It is also important to acknowledge that operating a vehicle unceasingly to maintain temperature is impossible in real life. This set up of poor cold logistics and supply chain leads to an increased deterioration of sensitive items. The paper overcomes this complication by adjoining an extra power source that supports freezing during the shutdown time of the vehicle engine by proposing improved mathematical models on Multi-Objective Cold Fuzzy Solid Transportation Problem (MOCFSTP) with an extra time parameter relating to the static and delay condition of the vehicles during various preservation modes (zero, semi, full) and defends them with comparable scrutinizing. The objectives contemplated in the problem are minimizing the cost, time and rate of deterioration. Numerical examples are discussed in detail and solved using reknown methods in LINGO (19.0) to stress on the effectiveness of the models. 2025 193 202 3430 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250416 https://www.americaspg.com/journal/21/article/3430 https://www.americaspg.com/storage/71735278356.pdf