Abstract:

In order to solve the problems existing in the binary logic-based subjective logic,this paper proposes an extended subjective logic based on the Dirichlet distribution.By using the ternary logic instead of the binary logic,the extended subjective logic redefines the mapping relationship and functions between the evidence space and the opinion space,and presents a new extended consensus rule.Moreover.it can model and deal with the subjectivity and the uncertainty of trust well because it retains the advantages of combining statistic inference and probability theory in subjective logic and takes into consideration the uncertain results of an event.Results 0f sample analvses show that the proposed extended subjective logic is reasonably supported by practical interpretations as well as by theoretical foundations.

Key words: subjective logic, Dirichlet distribution, evidence theory, binary logic, ternary logic, consensus rule