In humanitarian relief logistics, providing a safe place for evacuees, supplying relief commodities and designing a proper telecommunication infrastructure, for fast communications during disaster, are important issues. Therefore, in this paper, we develop a fuzzy scenario-based optimization model concerning location of shelters, relief distribution centers and telecommunication towers. Towards effective management and reliable servicing, telecommunication towers and shelters are considered to constitute integrated facilities (shelter-TTs). Moreover, to enhance efficiency of emergency services during disaster, backup relief distribution centers, and to approach the model to the real world, failure probabilities in the routes and the relief distribution centers are considered. The problem is formulated in a nonlinear and multi-objective model. Nonlinearity is treated by applying heuristic arguments in conjunction with Lp-metrics method. Finally, the developed model for the case study of flood disaster in an urban district in Iran is implemented. The results demonstrate that the proposed model can help make decisions on both the preparation and response phases in humanitarian relief logistics.