【摘要】 逻辑度量空间是近似推理的重要框架。文中在文献[1]中提出的公式集F(S)上相似度的基础上给出了另外两种相似度,讨论了其性质,证明了这两种相似度导出的距离也是F(S)上的伪距离。同时研究了这两个伪距离空间的重要性质,并得到了3种伪距离的比例关系,为推理程度的数值化提供了依据。更多还原

【Abstract】 Logical metric space is an importent frame in approximate reasoning. Based on the survey paper, the two others integreted resemblance degrees are proposed with discussing those proportion, and the fact that the distances introduced by them are the peseudo-distances in F(S) is proved as well. Finally,the characteristic of metric spaces is investigated and the proportion relation of three peseudo-distances is provided for numerical method in logical reasoning calculus.更多还原