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There may be some malicious nodes in the Grid environment because the resource of nodes can access the Grid system freely. The number and qualities of this resource can be change dramatically and optionally, so it is possible to affect the utilization of Grid resource. Hence, the trust mechanism is widely used in the management of Grid. This paper proposes a new method to detect the behaviors of resource providers in Grid environments based on D-S theory. Through simulating experiments, this mechanism can record the behaviors exactly and prevent the malicious ones. Then it gives a strong support for resource scheduling in the Grid.