Disasters are unexpected events that can cause widespread disruption of an urban region. Disaster managers are tasked with distributing lifesaving resources to meet evolving demand in the immediate aftermath of a disaster. However, decision-making during the first response is often characterised by a lack of information on current road conditions, and thus, the travel risk posed to teams remains uncertain. This paper presents a decision-making framework underpinned by Markov decision processes to verify provably correct team resource distribution strategies satisfying temporal logic constraints under travel risk vagueness. We implement the framework to express vagueness using fuzzy logic and demonstrate its effectiveness across a range of disaster resourcing scenarios.