The selection and evaluation of fresh food suppliers is the primary problem for supermarkets. This problem is solved by a new multiattribute group decision-making method with multigranular unbalanced hesitant fuzzy linguistic term set, which is based on prospect theory and evidential theory. Then, a novel supermarket fresh food supplier evaluation index is constructed with 5 elements and 15 indicators. To get the reasonable weights, best–worst method, criteria importance through intercriteria correlation method, and game theory are applied. Moreover, three methods are compared to prove our proposed method's validity and superiority. Finally, this paper offers analysis and suggestions based on the results from strategy level and statics level, respectively.