计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (13): 31-33.DOI: 10.3778/j.issn.1002-8331.2010.13.009

• 研究、探讨 • 上一篇    下一篇

n值命题逻辑中公式的随机真度

宋 颖,张兴芳   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2009-01-06 修回日期:2009-03-18 出版日期:2010-05-01 发布日期:2010-05-01
  • 通讯作者: 宋 颖

Stochastic truth degrees in n-valued propositional logic

SONG Ying,ZHANG Xing-fang   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2009-01-06 Revised:2009-03-18 Online:2010-05-01 Published:2010-05-01
  • Contact: SONG Ying

摘要: 给出了Lukasiewicz n值命题逻辑中公式的随机真度的概念,研究了其性质,利用随机真度定义了公式间的随机相似度,进而导出全体公式集上的一种伪距离。

关键词: n值命题逻辑, 随机真度, 随机相似度, 伪距离

Abstract: This paper proposes the conception of stochastic truth degrees in Lukasiewicz n-valued propositional logic and offers illustration of some of its quality.The conception of stochastic similarity degree between formulas according to the stochastic truth degrees is followed.Morever,a pseudometric on the set of formulas is defined.

Key words: n-valued propositional logic, stochastic truth degrees, stochastic similarity degree, pseudometric

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