值乘积命题逻辑中命题的α-真度理论  

Theory of α-Truth Degree in n-valued Product Proposition Logical

作　　者：龚加安[1,2] 吴洪博[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]陕西省商洛职业技术学院,陕西商洛726000

出　　处：《河南师范大学学报（自然科学版）》2010年第1期8-11,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10471083);陕西师范大学重点科研基金(995130)

摘　　要：利用均匀概率空间的无穷乘积,在n值乘积逻辑系统中引入命题的α-真度概念.给出了一般推理规则,利用命题的α-真度定义了命题间的α-相似度,进而导出命题集上的伪距离,使得在n值命题逻辑系统中展开近似推理成为可能.This paper intrduces conccept of α-truth degrees of propositions in n-value product logical system by using the infinite product of evenly distibuted probability space,general reference rules endowed with truth degrees are obtained.Moreover,a pseudo-metric on the set of propositions is definfed by means of the conccept of truth degree of propositons and this make it possible to develop approximate reasoning in n-valued propositional logic.

关 键 词：α-真度 真度 α-相似度 伪距离 

分 类 号：O142[理学—数学]