修正的n值Gdel命题逻辑系统中公式的随机真度和近似推理  

Randomized Truth Degree of Formulas and Approximate Reasoning in n-valued revised Gdel Logic System

作　　者：李修清[1] 

机构地区：[1]桂林航天工业学院理学部,广西桂林541004

出　　处：《模糊系统与数学》2015年第5期21-27,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71001015);广西壮族自治区教育厅科研项目(201106LX709)

摘　　要：利用随机化方法,在修正的n值Gdel命题逻辑系统中引入命题公式的随机真度概念;引入命题公式间的随机相似度和随机伪距离概念,建立了随机逻辑度量空间;并在随机逻辑度量空间中提出了三种不同类型的近似推理模式,证明了这三种近似推理模式的等价性。By means of randomization, the concept of randomized truth degree of formulas in n-valued revised Godel propositional logic system is introduced. The concept of randomized similarity and randomized pseudo-distances between formulas are introduced and the randomized logic metric space is built. Three different types of approximate reasoning patterns are introduced in randomized logic metric space. And they are proved to be equivalent.

关 键 词：随机真度 随机伪距离 随机逻辑度量空间 近似推理 

分 类 号：O141[理学—数学]