Möbius transformation in generalized evidence theory

摘要

Möbius transformation is a very important information inversion tool. Möbius transformation is sought after by many experts and scholars at home and abroad, and is a hot research topic at present. Möbius transformation can use the known information to reverse the unknown information, indicating that it has a strong ability to process information. Generalized evidence theory is an extension of classical evidence theory. When belief degree of the null subset is 0, then the generalized evidence theory will be degenerated as classical Dempster-Shafer evidence theory. However, how to apply Möbius transformation to generalized evidence theory is still an open problem. This paper proposes Möbius transformation in generalized evidence theory, which can perform function inversion of generalized evidence theory effectively. Numerical examples are used to prove the validity of Möbius transformation in generalized evidence theory. The experimental results show that the Möbius transformation in generalized evidence theory can effectively invert the generalized evidence theory and is a very effective function inversion method.