Fixed-charge solid transportation problem with budget constraints based on carbon emission in neutrosophic environment

This paper is to integrate among solid transportation problem, budget constraints and carbon emission with probable maximum profit. The range of air pollution climate change are effected by $${\text {CO}_2}$$ gas other greenhouse gases from myriad systems. Henceforth, our target minimize for pollution-free environment. Transportation system single objective hardly applicable the situation more than one criterion. Therefore multi-objective decision making incorporated designing real-life problem. Due time pressure, data limitation, lack information or measurement errors in practical problems, there exist some hesitations. Based on fact, maker considers indeterminacy designed problems. To overcome such hesitancy occurrence non-occurrence fuzzy intuitionistic fuzzy, neutrosophic set very important suitable accommodate general structure environment linear programming, programming global criterion method utilized here find compromise solution Thereafter, performance considered model useful evaluating a numerical example, then derived results compared. Finally sensitivity analysis conclusions upcoming works this research stated hereafter.