Similarity-based search has been a hot research topic for a long history, which is widely used in many applications. The large scale restricted floating sensor (RFS) network is an important model in offshore data collection . This paper constructs a new fuzzy similarity measures based on distance. This work provides a theoretical guidance for constructing a fuzzy query processing strategy for our RFS networks. From we know our work over distance and similarity is a reasonable generalization and extension of other Fuzzy Sets.