To solve the trust problem during resource access in grid service and to avoid subjective notion during the execution of subjective trust

the trust mechanism based Beta function is proposed.The trust relations are set up upon recommendations among nodes from the reference of social network relation.Through judging the recommendation ability of medium nodes according to the former interaction result with the method of probability and statistics

the best recommendation ability nodes are selected as the recommenders to search trust links according to the limitation of the requester about link recommendation value and recommendation number

the trust values of each attribute for the resource node presented by the last nodes on the trust links are synthesized with Beta function to decide whether the access to resource node can be enforced.The experimental result expresses its validity.