The resilient food supply chain (RFSC) has been identified as an effective model for mitigating food supply chain (FSC) risks. However, there exist many barriers impacting the implementation of the RFSC. Further, previous studies seldom utilize integrated decision models for identifying and ranking the barriers to implementing RFSC within uncertain environments. Thus, the study establishes an interval-valued Fermatean fuzzy (IVFF) decision framework to identify and rank these barriers. The framework is classified into four stages. First, to model the interaction between preference information, we introduce the IVFF-prioritized weighted average (PWA) operator to collect this information. Then, an integrated IVFF-CRITIC method is proposed to calculate the barrier weights considering their inter-correlation relationships. Next, the IVFF-PWA operator and IVFF-CRITIC method are incorporated into the PROMETHEE-II model to rank the barrier levels of alternative participation in the FSC. Further, a case study about analyzing implementation barriers to RFSC is employed to test the effectiveness and practicality of the presented framework. The result shows that the participation food processing company (priority: 0.161) has the highest barrier level. The findings of this article may offer decision support to stakeholders for mitigating the barriers to implementing a resilient supply chain in the food industry.