This paper proposes the use of an argumentation framework with recursive attacks to address a trust model in a collaborative open multi-agent system. Our approach is focused on scenarios where agents share information about the credibility (informational trust) they have assigned to their peers. We will represent informants' credibility through credibility objects which will include not only trust information but also the informant source. This leads to a recursive setting where the reliability of certain credibility information depends on the credibility of other pieces of information that should be subject to the same analysis. Credibility objects are maintained in a credibility base which can have information in conflict. In this scenario, we will formally show that our proposal will produce a partially ordered credibility relation; such relation contains the information that can be justified by an argumentation process.Example 1 (Running example). Let Alex, Barbara, and Carla (abbreviated A, B, C) be stock market experts, and let Harry, John, and Kate (abbreviated H, J, K) be journalists on this topic. Agent Tory (T ) has all the agents mentioned above as its informants, and T has collected the following information about their credibilities in the stock market topic. According to Kate, Alex is more credible than Carla (represented A > C); and according to Harry, Carla is more credible than Barbara, (C > B). However, for John, Barbara is more credible than Alex, (B > A). Finally, according to the editor of a newsletter called X-market, which specializes on this topic, the journalist Kate is more credible than John, (K > J). Now, assume that Tory has to decide whether Alex is more credible than Barbara. Tory can conclude B > A using the information obtained from John but, assuming the credibility relation is transitive, Tory can also infer A > B from the information obtained from Kate (A > C) and Harry (C > B). In this situation, Tory can use the information that she has about the credibility of the journalists John, Harry and Kate to decide whether A > B or B > A prevails. Since the editor of X-market reports that K > J, then Tory has a reason to consider Kate more credible than John on this topic and therefore, a reason to support that Alex is more credible than Barbara.