计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (16): 35-38.DOI: 10.3778/j.issn.1002-8331.2010.16.010

• 研究、探讨 • 上一篇    下一篇

n值乘积逻辑系统中的随机化研究

李友雨,张兴芳,李绍勇,屠桂晶   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2008-12-15 修回日期:2009-03-09 出版日期:2010-06-01 发布日期:2010-06-01
  • 通讯作者: 李友雨

Stochastic study in n-valued standard logic system

LI You-yu,ZHANG Xing-fang,LI Shao-yong,TU Gui-jing   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China

  • Received:2008-12-15 Revised:2009-03-09 Online:2010-06-01 Published:2010-06-01
  • Contact: LI You-yu

摘要:

利用赋值集的随机化方法,在n值乘积逻辑中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Dπn-相似度与伪距离的概念,并建立了Dπn逻辑度量空间,证明了此空间没有孤立点。

Abstract: Dπn-stochastic truth degree of formulas in n-valued product logic is 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 in [0,1].The conceptions of D■-similarity degree and pseudo-metric on two formulas are given.Dπn-logic metric space is built.And it is proved that this space has no isolated point.

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