Optimal decision fusion with fuzzy priori probabilities

When a priori probabilities are fuzzy, the optimal decision fusion in the sense of minimum error of probability in a fusion center is considered. The fusion center receives decisions from various distributed sensors. The optimal decision fusion scheme at the fusion center is derived by using the URI (utility ranking index) and TDC (total distance criterion) fuzzy ordering criteria. It is found that the decision structure at the fusion center in this case is identical to that used by Chair and Varshney (1986) except that the threshold is different, and that an improvement in the performance of the system by using the presented schemes is achieved beyond that obtained by using the maximum membership degree (MMD) and maximum likelihood (ML) criteria