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Grid environment is being a service oriented infrastructure in which many heterogeneous resources participate for providing the high performance computation. On of bug issue in the grid environment is the vagueness and uncertainty between advertised resources and requested resources. In this work we propose a solution for the vagueness and uncertainty problems based on rough set theory. Here you can see how the rough set theory is developed to deal with the problem. We also report the result of the solution obtained from the simulation in Gridsim simulator. The comparison has been made between the proposed method and UDDI and OWL-S combined method. Rough set theory shows much better precision for the cases with vagueness and uncertainty.