On the concept of possibility-probability consistency
Fuzzy Sets and Systems
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
The Eigentrust algorithm for reputation management in P2P networks
WWW '03 Proceedings of the 12th international conference on World Wide Web
Propagation of trust and distrust
Proceedings of the 13th international conference on World Wide Web
Trust evaluation in ad-hoc networks
Proceedings of the 3rd ACM workshop on Wireless security
Review on Computational Trust and Reputation Models
Artificial Intelligence Review
A trust-enhanced recommender system application: Moleskiing
Proceedings of the 2005 ACM symposium on Applied computing
A Qualitative Bipolar Argumentative View of Trust
SUM '07 Proceedings of the 1st international conference on Scalable Uncertainty Management
Evaluating Trustworthiness from Past Performances: Interval-Based Approaches
SUM '08 Proceedings of the 2nd international conference on Scalable Uncertainty Management
An interoperable context sensitive model of trust
Journal of Intelligent Information Systems
IWTrust: improving user trust in answers from the web
iTrust'05 Proceedings of the Third international conference on Trust Management
A many valued representation and propagation of trust and distrust
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
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In many multi-agent systems, especially in the field of e-commerce, the users have to decide whether they sufficiently trust an agent to achieve a certain goal. To help users to make such decisions, an increasing number of trust systems have been developed. By trust system, we mean a system that gathers information about an agent and evaluates its trustworthiness on the basis of this information. The aim of the present paper is to develop, and analyze from an axiomatic point of view, new trust systems based on intervals. More precisely, we assume that a set of grades describing the past performances of an agent is given. Then, the goal is to construct an interval that summarizes these grades. In our opinion, such an interval gives a good account of the trustworthiness of the agent. In addition, this kind of representation format overcomes certain limitations (at a certain cost) of the approaches that represent trustworthiness by a single number. We establish seven axioms that should be satisfied by a summarizing method. Next, we develop two new methods. The first one is based on the idea that certain concentrations of grades are strong enough to pull the bounds of the summarizing interval towards themselves. The second one represents data in the setting of possibility theory, and then computes lower and upper expected values. Finally, we check that our methods satisfy the axioms introduced before, which provide theoretical justifications for them.