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In this paper, a D2D multiple-metric routing protocol is proposed in the situation that the network infrastructures are ruined due to a possible natural disaster. To improve the stability and the shortness of the path, we use fuzzy mathematics and probabilistic normed spaces in such a way that the set of nodes is considered as a fuzzy set. This protocol operates in a distributed manner and at each stage independently finds the appropriate node. By introducing a stability indicator, we show that our method, while close to the shortest path, maintains durability.