A Rule-Based Inference Method Using Dempster–Shafer Theory

The Dempster–Shafer theory of evidence for attribute aggregation provides a method to deal with uncertainty reasoning. In this paper, uncertainty reasoning method based on rule-base with certainty interval is investigated. First, knowledge representation with interval uncertainty is defined and the matching principle is given. Then, a rule-based inference method under interval numbers using Dempster–Shafer theory is derived. A numerical example is examined to show the implementation process of the proposed method.

[1]  M. Singh,et al.  An Evidential Reasoning Approach for Multiple-Attribute Decision Making with Uncertainty , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[2]  Jian-Bo Yang,et al.  Customer Satisfaction Survey Based on the Evidential Reasoning Approach with Belief Intervals , 2012 .

[3]  H. Ishibuchi,et al.  Multiobjective programming in optimization of the interval objective function , 1990 .

[4]  Gong Run-sheng Interference Finding Expert System Based on Case Reasoning and Rule Reasoning , 2009 .

[5]  Ramon López de Mántaras,et al.  Approximate Reasoning Models , 1990 .

[6]  Alberto Calzada,et al.  An intelligent decision support tool based on belief rule-based inference methodology , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[7]  L. Zadeh Calculus of fuzzy restrictions , 1996 .

[8]  Inés Couso,et al.  Similarity and dissimilarity measures between fuzzy sets: A formal relational study , 2013, Inf. Sci..

[9]  Yang Jian-bo Customer Satisfaction Survey Based on Evidential Reasoning Approach with Belief Intervals , 2012, IEEM 2012.

[10]  Brian Davis,et al.  Knowledge Engineering and Knowledge Management , 2012, Lecture Notes in Computer Science.

[11]  Ronald R. Yager,et al.  Classic Works of the Dempster-Shafer Theory of Belief Functions , 2010, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[12]  Xu Hong Research on Early-Warning Expert System for Security of Grain Storage Based on Uncertain Inference , 2012 .

[13]  Lucien Duckstein,et al.  Comparison of fuzzy numbers using a fuzzy distance measure , 2002, Fuzzy Sets Syst..

[14]  Jian-Bo Yang,et al.  Belief rule-base inference methodology using the evidential reasoning Approach-RIMER , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.