Resource scheduling is one of the basic and key aspects in grid computing, which allocating the most suitable resources satisfying the requirement of userspsila applications. After reviewing some novel fuzzy similarity measures, this paper presents an unified one to determine the fuzzy similarity between two objects, especially two grid resources. The approach is a family of fuzzy similarity measures, and any common measures can be obtained easily only by specifying a parameter h. The resource scheduling of grid is just based on it. Then, a formal model of Grid resources with three layers is proposed for effectively and efficiently organizing and accessing all kinds of heterogeneous resources. This is helpful to reduce the cost of time and correspondence in allocating resources through describing resources, abstracting resources and providing unified system images. Over the organization of resources, the scheme of resource scheduling is also described. Finally, analyses show that this approach is feasible to the different application fields.