A novel distance function of D numbers and its application in product engineering

作者：Li, Meizhu; Hu, Yong; Zhang, Qi; Deng, Yong^*

来源：Engineering Applications of Artificial Intelligence, 2016, 47: 61-67.

DOI：10.1016/j.engappai.2015.06.004

• Dempster-Shafer evidence theory
• Belief function
• Basic probability assignment
• D numbers
• Distance function
• Product engineering

The Dempster-Shafer theory is widely applied in uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. A distance between two basic probability assignments (BPAs) presents a measure of performance for identification of algorithms based on the evidential theory of Dempster-Shafer. However, some conditions lead to limitations in practical application for the Dempster-Shafer theory, such as exclusiveness hypothesis and completeness constraint. To overcome these shortcomings, a novel theory called D numbers theory is proposed. A distance function of D numbers is proposed to measure the distance between two D numbers. The distance function of D numbers is a generalization of distance between two BPAs, which inherits the advantage of Dempster-Shafer theory and strengthens the capability of uncertainty modeling. An illustrative case about product engineering is provided to demonstrate the effectiveness of the proposed function.

• 出版日期2016-1
• 单位西北工业大学; 西南大学; 暨南大学