四值非线性序集逻辑系统中理论的随机发散度  

Randomized Divergence Degree in 4-valued Logic System with Nonlinear Ordered Ture Valued Set

作　　者：左卫兵[1] 

机构地区：[1]华北水利水电学院数学与信息科学学院,河南郑州450011

出　　处：《模糊系统与数学》2012年第1期42-47,共6页Fuzzy Systems and Mathematics

基　　金：河南省自然科学基金资助项目(112300410040);河南省教育厅自然科学基金资助项目(2011A110012);河南省高等学校青年骨干教师资助计划项目(2011GGJS-097)

摘　　要：在四值非线性序集逻辑系统L24中,给出了随机相似度和随机逻辑伪距离的基本性质。然后在随机逻辑度量空间中提出了理论的随机发散度,指出全体原子公式之集在随机逻辑度量空间中未必是全发散的,其是否全发散取决于给定的四值概率分布序列。The basic proper ties of randomized similarity and randomized logic pseudo-metric are given in 4-valued logic system with nonlinear ordered true valued set. After that, the randomized divergence degree of theories is introduced in randomized logic metric space. It is proved that the set of atomic is not totally divergent in randomized logic metric space. It is divergence or not is decided by the 4-valued probability distribution sequence.

关 键 词：非线性序集 随机真度 随机距离 随机逻辑度量空间 随机发散度 

分 类 号：O159[理学—数学]