The number of vehicles to meet our needs in daily life is increasing. So, due to types of vehicles and road conditions, etc. greenhouse gas emissions, global warming, and carbon emissions are growing in nature. The effects of carbon emissions in our daily lives are pervasive and multifaceted, impacting various aspects of our environment, health, and well-being. The transportation system is considered as one of the major sources of carbon emissions. The goal of this article is to create a four-dimensional, multi-objective green transport plan that takes into account the carbon price, offset, and cap regulations. In real-life circumstances, all input parameters of the proposed model are not in crisp value form. To produce a realistic four-dimensional transportation system, a twofold uncertainty namely type-2 intuitionistic fuzzy is included in this study. A novel ranking defuzzification method is introduced in this model to transform it into a deterministic form. Lastly, based on nonfuzzy and fuzzy methods, determined the various optimal solutions of the proposed model. Two real-world case studies are analyzed to demonstrate the applicability of the proposed investigation. Managerial insights and conclusions along with future research scope of this study are finally presented.