Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (7): 42-43.DOI: 10.3778/j.issn.1002-8331.2009.07.013

• 研究、探讨 • Previous Articles     Next Articles

P-randomized truth degrees and approximate reasoning in n-valued logic system

ZUO Wei-bing   

  1. Department of Mathematics and Information Science,North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China
  • Received:2008-09-18 Revised:2008-12-11 Online:2009-03-01 Published:2009-03-01
  • Contact: ZUO Wei-bing

n值命题逻辑中的P-随机真度及近似推理

左卫兵   

  1. 华北水利水电学院 数学与信息科学学院,郑州 450011
  • 通讯作者: 左卫兵

Abstract: By means of randomization,the concept of P-measure and P-randomized truth degree of formulas in n-valued propositional logic is introduced.It is proved that the set of values of P-randomized truth degree of formulas has no isolated point in[0,1].Based on the P-similarity degree in the P-randomized truth degree formulas,it educes one type of pseudo-distance in the set of all formulas,so provides a possible structure of proximity reasoning theory.

Key words: P-measure, P-randomized truth degree, P-similarity degree, proximity reasoning

摘要: 利用赋值集的随机化方法,在n值命题逻辑中提出了n值逻辑P-测度和公式的P-随机真度的概念,证明了全体公式的P-随机真度之集在[0,1]中没有孤立点;利用P-随机真度定义了公式间的P-相似度和P-逻辑伪距离,为n值命题逻辑在一般情形下的近似推理理论提供了一种可能的框架。

关键词: n值逻辑P-测度, P-真度, P-相似度, 近似推理