节点文献
公式概率真度的相似度及伪距离
Similarity degree and pseudo-distance of probability truth degree for formulas
【摘要】 通过引入赋值密度函数、边缘密度函数等概念,给出了连续值命题逻辑系统L*中公式概率真度的定义,研究了概率真度的推理规则,在此基础上给出了三种相似度,讨论了其性质及关系,并由此定义了三种伪距离,讨论了逻辑度量空间的结构及性质,为推理程度的数值化提供了依据。
【Abstract】 By introducing the concepts of valuation density function and edge density function,a definition of probability truth degree for formula in the continuous value propositional logic L* is proposed,some inference rules of probability truth degree are studied.On this groundwork,three similarities are given which discusses the properties of the relationship.By intro-ducing similarity degree,the definition of pseudo-distance is proposed.And the structure and properties of logical metric space are discussed in details.Thus the basis for the inference degree’s numerical is proved.
【关键词】 赋值密度函数;
概率真度;
推理规则;
相似度;
伪距离;
【Key words】 valuation density; probability truth degree; inference rule; similarity degree; pseudo-distance;
【Key words】 valuation density; probability truth degree; inference rule; similarity degree; pseudo-distance;
【基金】 国家自然科学基金No.60875034;山东省自然科学基金No.Y2003A01~~
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2010年27期
- 【分类号】O141.1
- 【被引频次】1
- 【下载频次】62