论文信息 - A new theory of evidence for non-exclusive elementary propositions

A new theory of evidence for non-exclusive elementary propositions

Though probability theory has been used widely, it cannot treat quantities of ignorance well. To solve the problem, the Dempster-Shafer theory has been developed as a reasonable tool to represent situations in which various kinds of ignorance exist in our knowledge or information. However, the Dempster-Shafer theory assumes that elementary propositions are mutually exclusive. Therefore, we cannot treat non-exclusive elementary propositions in the Dempster-Shafer theory directly. In the paper a new theory is proposed to deal with non-exclusive elementary propositions, and is illustrated by a simple example.

Takahiko Horiuchi

[1] Takahiko Horiuchi,et al. Relaxation optimizing operations in extended probabilistic space , 1996, Int. J. Syst. Sci..

[2] P. L. Bogler,et al. Shafer-dempster reasoning with applications to multisensor target identification systems , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[3] Takahiko Horiuchi,et al. Relaxation optimizing processes in extended probabilistic space , 1995, Proceedings of 3rd International Conference on Document Analysis and Recognition.

[4] R. Yager. On the dempster-shafer framework and new combination rules , 1987, Inf. Sci..

[5] Paul R. Cohen,et al. Heuristic reasoning about uncertainty: an artificial intelligence approach , 1984 .

[6] Glenn Shafer,et al. A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[7] Enrique H. Ruspini,et al. Possibility theory approaches for advanced information systems , 1982, Computer.