计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (31): 40-42.DOI: 10.3778/j.issn.1002-8331.2009.31.013

• 研究、探讨 • 上一篇    下一篇

Gödel n值命题逻辑中公式的α-随机真度理论

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:2009-04-08 修回日期:2009-06-02 出版日期:2009-11-01 发布日期:2009-11-01
  • 通讯作者: 宋 颖

Theory of α-stochastic truth degrees in Gödel n-valued propositional logic

SONG Ying,ZHANG Xing-fang   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2009-04-08 Revised:2009-06-02 Online:2009-11-01 Published:2009-11-01
  • Contact: SONG Ying

摘要: 给出了Gödel n值命题逻辑中公式的α-随机真度的概念,研究了其性质,利用α-随机真度定义了公式间的α-Dn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, α-随机真度, α-Dn相似度, α-Dn伪距离

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

Key words: n-valued propositional logic, α-Stochastic truth degrees, α-Dn similarity degree, α-Dn pseudometric

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