Fuzzy Evidence Functions and Synthesis Rule Using Weighted Distance Testing in Process Industry

Abstract

The inclusion testing in process industry is used to extend Dempster-Shafer evidence theory to the fuzzy set, but not reactive to a transformation at some critical points in fuzzy focused component. The paper proposes a synthetic method of fuzzy evidence functions. Then a synthetic rule is also built based on distance testing. Instead of using the fuzzy synthesis method in previous methods, it introduces distance testing between fuzzy sets and the weight of fuzzy focused components to compute the contribution factor of evidence functions, and modify the basic probability assignment values of focused components according to novel fuzzy synthesis rule. Several numerical examples are made to demonstrate the effectiveness. The results show that the proposed approach could catch more data from the transformation of the focused component in process industry.