经典命题逻辑中公式的Γ-随机真度与近似推理
发布时间：2018-08-07 18:26
【摘要】：利用概率空间的无穷乘积,在经典二值命题逻辑中引入了公式的Γ-随机真度概念以及公式间的Γ-相似度概念。进而导出了全体公式集上的一种伪距离,建立了逻辑度量空间。最后提出了基于Γ-随机真度的三种不同的近似推理模式,并且证明了这三种近似推理模式之间是相互等价的。
[Abstract]:By using infinite product of probabilistic space, the concept of 螕 -random truth degree of formula and the concept of 螕 -similarity between formulas are introduced in classical binary propositional logic. Then a pseudo-distance on the set of all formulas is derived and the logical metric space is established. Finally, three different approximate reasoning models based on 螕 -random truth degree are proposed, and it is proved that the three approximate reasoning modes are equivalent to each other.
【作者单位】： 洛阳师范学院数学科学学院;
【分类号】：O141.1
本文编号：2170943
[Abstract]:By using infinite product of probabilistic space, the concept of 螕 -random truth degree of formula and the concept of 螕 -similarity between formulas are introduced in classical binary propositional logic. Then a pseudo-distance on the set of all formulas is derived and the logical metric space is established. Finally, three different approximate reasoning models based on 螕 -random truth degree are proposed, and it is proved that the three approximate reasoning modes are equivalent to each other.
【作者单位】： 洛阳师范学院数学科学学院;
【分类号】：O141.1
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1 王国俊;刘保翠;;四种命题逻辑中公式的相对Γ-重言度理论[J];工程数学学报;2007年04期
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