关于三值R_0命题逻辑系统的若干注记  

Some Remarks on Three-valued R_0 Propositional Logic

作　　者：惠小静[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《模糊系统与数学》2011年第6期29-34,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10771129);陕西省自然科学青年基金资助项目(2010JQ1005)

摘　　要：在三值R0命题逻辑系统中证明了随机真度的M P、HS和交推理规则;提出了随机开放度,指出随机开放度与随机发散度是从两个不同的角度刻画了理论的相容程度,并得出对同一个理论而言,二者取值相等的结论。The inference rules of MP, HS and intersection of randomized truth degree are proved in threevalued R0 propositional logic. Then the randomized opening degree is introduced in randomized logic metric space. It is obtained that the randomized opening degree and the randomized divergence degree characterize the consistency degree of theory from two different sides and the value of the randomized opening degree is equal to the value of the randomized divergence degree for a same theory.

关 键 词：随机真度 随机逻辑度量空间 随机发散度 随机开放度 

分 类 号：O159[理学—数学]