C C Wang and coworkers built a belief combination model consisted of multiple exponential bidirectional associative memory (Multi-eBAM) through using eBAM with equal privileges and applied it into the voting decision making of multiple experts and obtained the latter decision-making performance.Using Chen improved eBAM (IeBAM) and endowing different privilege to each IeBAM or expert,a multiple weighted belief combination model consisted of IeBAM (Multi-WIeBAM) is constructed and investigated and becomes an extension to Wang Multi-eBAM model.Then its stability in synchronous and asynchronous updating modes is respectively proven and its corresponding decision-making performance and majority factor for different privilege of each expert are obtained.So the proposed model confirms the real-life voting decision.The initial analysis indicates that the majority factor of Multi-WIeBAM is tighter than that of the corresponding Multi-WeBAM,in other words,the former has better decision-making performance than the latter.Finally the experimental results also verify the above point.