关于最佳条件信任算子的存在性问题

On existence of best conditional belief functions

讨论了理想化的条件信任算子应满足的 7 个条件,同时对目前人们已经提出的几种条件信任算子的优缺点进行了分析。依据所建立的理想化条件信任算子准则,证明了在一定条件下,理想化条件信任算子应该满足的 7 个准则存在着某种必然的内在矛盾,在一定意义下,试图寻找的理想化条件信任算子是不存在的。

It first studies the criteria for establishing desired conditional belief functions, and then discusses the advantages and disadvantages of the conditional belief functions suggested. It demonstrates contradictions between the seven criterions of conditional belief functions, and proves the nonexistence of the best conditional belief function.