计算机工程与应用 ›› 2017, Vol. 53 ›› Issue (11): 67-72.DOI: 10.3778/j.issn.1002-8331.1601-0011

• 理论与研发 • 上一篇    下一篇

Gödel [n]值命题逻辑系统的真度理论

朱乃调,惠小静,高晓莉,高  姣   

  1. 延安大学 数学与计算机科学学院,陕西 延安 716000
  • 出版日期:2017-06-01 发布日期:2017-06-13

Theory of truth degree in Gödel [n]-valued propositional logic system

ZHU Naidiao, HUI Xiaojing, GAO Xiaoli, GAO Jiao   

  1. College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, China
  • Online:2017-06-01 Published:2017-06-13

摘要: 首先在Gödel [n]值命题逻辑系统中添加了新的连接词[Δ,~],给出了Gödel [n]值命题逻辑系统中命题公式间的真度、相似度和伪距离的定义;讨论了在该系统下它们的一些相关性质,并给出了相应的证明。

关键词: Gö, del [n]命题逻辑系统, 真度, 相似度, 伪距离

Abstract: The new connectors[Δ]and[~]are presented in G?del [n]-valued propositional logic system in this paper, the definition of truth degree, similarity degree and pseudo-metric among formulas are given in Gödel [n]-valued propositional logic system, some related properties of them among formulas are discussed under the system, and the corresponding certificate is presented.

Key words: Gödel [n]-valued propositional logic system, truth degree, similarity degree, pseudo-metric