Lukasiewicz多值逻辑系统中的相似度及伪距离  

Integreted resemblance degree and peseudo-distances in Lukasiewicz proposition fuzzy logic

作　　者：刘艳[1] 郑慕聪[2] 

机构地区：[1]西安科技大学基础课部,陕西西安710054 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《西安科技大学学报》2005年第2期263-266,共4页Journal of Xi’an University of Science and Technology

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。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.

关 键 词：相似度 伪距离 多值逻辑系统 近似推理 度量空间 距离空间 比例关系 数值化 性质 

分 类 号：O141.1[理学—数学] TP18[理学—基础数学]