Evidence Combination Method Based on Conjunctive and Complementary Pooling and Pignistic Transformation
Qi Fan · Jisuanji gongcheng · 2010
In order to get rid of the limitation of D-S combination rule and improve rules,a new combination rule based on the weighting factor of conjunctive and complementary pooling and Pignistic probability transformation is introduced.Beginning with the theory of the conjunctive and complementary pooling,the new formula of basic probability assignment is inferred.The evidence combination rule is obtained through the quantification research on the weighting factor of conjunctive and complementary pooling.With the purpose of reducing the influence of combination sequence and providing a reliable decision-making,a Pignistic probability transformation is used to reassign the basic probability assignments of multi-element propositions to each element.Through analyzing the number examples,and compared with other improved methods,the results show this new solution can efficiently solve the conflicting evidence,the loss of majority opinion,the robustness of algorithm,the fairness of distribution and the efficiency of decision.