While the trust paradigm is essential to broadly extend the communication between the environment's actors, the evaluation of trust becomes a challenge when confronted with initializing the trust relationship and validating the transi- tive propriety of trust. Whether between users or between organizations, existing solutions work to create for peer to peer networks, flexible and decentralized security mecha- nisms with trust approach. However, we have noticed that the trust management systems do not make the most of the subjectivity, more specifically, the notion of Disposition to Trust although this aspect of subjectivity has a strong influence on how to assess direct and a transitive trust. For this reason in our study, we tackle this problem by introducing a new distributed trust model called T2D (Trust to Distrust) which is designed to incorporate the follow- ing contributions : (i) A behavior model which represents the Disposition to Trust ; (ii) Initialization of trust relation- ship (direct and transitive) according to the defined behavior model.