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In tackling real-world transportation challenges, researchers experience various levels of uncertainty and hesitancy caused by diverse unknown circumstances. An intuitionistic fuzzy kind of information that addresses uncertainty and unwillingness has been suggested by a number of authors. Therefore, we examine transportation problems with supply, demand, expenses, ambiguity, and hesitancy in the current paper. We suggest an innovative ranking method that uses intuitionistic hexagonal fuzzy numbers to explain the problem and reflect the involvement and non-involvement elements of the fuzzy number. Three image planes are subtracted to obtain the fuzzy numbers of participation and non-participation regions, which yield the centroid of centroids of such plane images. The ranking index is explained. Additionally, a mathematical framework is employed to illustrate the effectiveness of the suggested approach.
Singuluri et al. (Wed,) studied this question.