While applying attribute based access control in dynamic open multi-domain environments, an important critical problem is how to make these domains know each other about the semantics of attributes defined by them. Towards this problem, a novel method of attribute matching is proposed in this paper. This matching is based on other domains' knowledges of the specific concept relationship. The knowledge involves five different concept relationships. Compared with the numerical similarity between two concepts, these concept relationships are more applicable in access control. In addition, the proposed method does not need the overall information of ontologies to which the matched concepts belong. For this, examples are given to illustrate applications of the method.