Trust and trustworthiness plays a major role in conducting business o the internet in service-oriented environments. In defining Trust for service-oriented environments, one needs to capture the notation of service level, service agreement, context and timeslots. The same applies for reputation which is the opinion of the third party agents which is used in determining the trust and trustworthiness. Because of the complexity of the issues, and the fact that the Trust and Reputation are essentially concerns with the relationships, it is important to clearly define the notion of the trust relationships and notion of the reputation relationships. In this paper, therefore, we clearly these definitions and we introduce a graphical notation for representing these relationships.