计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (14): 34-38.DOI: 10.3778/j.issn.1002-8331.2010.14.010

• 研究、探讨 • 上一篇    下一篇

三值乘积逻辑系统Π3中的随机化研究

屠桂晶,张兴芳,李成允,李友雨   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2008-11-04 修回日期:2009-02-24 出版日期:2010-05-11 发布日期:2010-05-11
  • 通讯作者: 屠桂晶

Stochastic study in ternary logic system Π3

TU Gui-jing,ZHANG Xing-fang,LI Cheng-yun,LI You-yu   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2008-11-04 Revised:2009-02-24 Online:2010-05-11 Published:2010-05-11
  • Contact: TU Gui-jing

摘要: 利用赋值集的随机化方法,在三值乘积逻辑∏3提出了公式的随机真度,证明了所有公式的随机真度之集在[0,1]中没有孤立点;给出了两公式间的D3-相似度与伪距离的概念,并建立了D3-逻辑度量空间,证明了此空间没有孤立点。

关键词: D3-随机真度, D3-相似度, D3-逻辑度量空间

Abstract: In this paper,D3-stochastic truth degree of formulas in ternary logic Π3 s presented by using stochastic method on evaluation sets.It is proved that the set of stochastic truth degree of all formulas has no isolated point.The conceptions of D3-similarity degree and pseudo-metric on two formulas are given.D3-logic metric space is built.And it is proved that this space has no isolated point.

Key words: D3-stochastic truth degree, 3-similarity degree, 3-logic metric space

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