三值乘积逻辑系统中绝对真度的理论研究  

Similarity Degree and Pseudo-distance of the Absolute Truth Degree of Formulas in Propositional π3 Logic System

作　　者：屠桂晶[1] 张兴芳[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2010年第3期9-12,49,共5页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金资助项目(60875034)

摘　　要：在三值乘积逻辑系统π3中,回避均匀概率空间中的无穷乘积测度,借助逻辑公式A所诱导的函数引入逻辑公式A的绝对真度概念.利用绝对真度定义了公式间的绝对相似度和伪距离,并讨论了绝对相似度和伪距离的性质以及绝对真度与绝对相似度,伪距离的关系.In the paper,by the function induced from a logic formula,a concept of absolute truth degree of formula in propositional three-valued product Logic System was introduced when the infinite produce measure in uniformly probability spaces was evaded.Also the absolute similarity degree and pseudo-distance between two formulas were defined by using the absolute truth degree,and their properties and relationship between them were discussed

关 键 词：乘积逻辑 绝对真度 绝对相似度 伪距离 

分 类 号：O141[理学—数学]