Combination rule of evidence theory based on min-max operator
Bicheng Li, Tianqiang Peng · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2003
D-S evidence theory is a useful method in dealing with uncertainty problems, but its application is limited because of the shortcomings of its combination rule. The number of its multiplication increases by exponential principle as evidences grow. In addition, the combination results may be unacceptable if the evidences involved conflict one another highly. So the paper introduces min-max operator with comparison operation instead of multiplication operation and addition operation in the combination rule. In order to combine highly conflicting evidences effectively, the evidences' conflicting probability is distributed to every proposition according to its average supported degree. The new combination rule saves the computing cost largely and improves the reliability and rationality of combination results. Although evidences conflict one another highly, good combination results are also obtained.