基于Dirchlet分布的扩展主观逻辑

针对基于二值逻辑的主观逻辑中存在的一些问题，提出了基于Dirichlet分布的扩展主观逻辑．在利用三值逻辑代替原来二值逻辑的基础上，扩展主观逻辑重新定义了事实空间与观念空间之间的映射关系和映射函数，并给出了新的扩展合意规则．扩展主观逻辑保留了主观逻辑基于统计推断和概率理论的优点，并考虑了事件结果不确定时的情况，从而可更好地建模和处理信任中的主观性和不确定性．实例分析表明，扩展主观逻辑具有合理的事实根据和理论基础．

Extended Subjective Logic Based on Dirichlet Distribution

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 of sample analyses show that the proposed extended subjective logic is reasonably supported by practical interpretations as well as by theoretical foundations.