计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (8): 25-28.

• 理论与研发 • 上一篇    下一篇

n值命题逻辑中的ξ-条件开放度

李修清   

  1. 桂林航天工业学院 理学部,广西 桂林 541004
  • 出版日期:2016-04-15 发布日期:2016-04-19

ξ-conditional opening degree in n-valued propositional logic system

LI Xiuqing   

  1. Faculty of Science, Guilin University of Aerospace Technology, Guilin, Guangxi 541004, China
  • Online:2016-04-15 Published:2016-04-19

摘要: 在[n]值Lukasiewicz命题逻辑系统中引入公式的[ξ-]条件真度的概念,引入理论的[ξ-]条件开放度的概念,得到了[ξ-]条件真度的一些基本性质,证明了全体原子公式之集[S={q1,q2,?}]不是[ξ-]条件全开放的,其是否条件全开放取决于给定的随机概率分布。

关键词: 随机真度, &xi, -条件真度, &xi, -条件开放度

Abstract: The concepts of [ξ-]conditional truth degree of formulas and [ξ-]conditional opening degree of a theory are introduced in [n-]valued Lukasiewicz propositional logical system. Some basic properties of [ξ-]conditional truth degree are studied. It is proved that the set of atomic formulas is not totally [ξ-]conditional opening. It is totally [ξ-]conditional opening or not is decided by the randomized probability distribution.

Key words: randomized truth degree, ξ-conditional truth degree, ξ-conditional opening degree