Aiming at the problems of incomplete information and insufficient cognition under an emergency decision-making environment, the interval-valued hesitant fuzzy sets can fully express the hesitation and fuzziness of decision-makers in the information evaluation process. However, with the deepening of research, it is found that it has the defect of being unable to ensure the quality of information. Therefore, this paper proposes a concept of basic uncertain information interval-valued hesitant fuzzy sets, which is more flexible in expressing decision information and more in line with the requirements of real decisions. It is two-tuple information set containing an interval-valued hesitant fuzzy set and its certainty degree. On this basis, the basic uncertain information interval-valued hesitant fuzzy weighted average operator, hesitance degree, and reliability degree are defined, and then the expert weight adjustment method and attribute weight determination method based on credibility are proposed, which fully consider the reliability of the evaluation information provided by the experts. Finally, the generalized TODIM method is extended to the basic uncertain information interval-valued hesitant fuzzy environment. The feasibility of this method is proved by emergency decision-making cases, and the stability and effectiveness of this method are verified by sensitivity analysis and comparative analysis.