电子学报2011，Vol.39Issue(4)：899-905,7.
经典逻辑度量空间中的模2次范整线性空间结构
Z(2)-Normable Linear Structure on Classical Logic Metric Space
摘要
Abstract
The method for proposing sub-normed Z-linear space has been applied to investigate the structure of classical logic metric space ( [ F(S) ], p). A class of isometric transformations in ( [ F(S) ], p) are formed and it is proved that these isometric transformations constitute a group,and the space ([ F(S) ],p) thereby make a sub-normed Z-linear space with a modular 2 additive structure. Moreover, it is clarified that the space ( [ F (S) ], p ) is isomorphic to the normable linear space on the finite field F(2) ,and relations among norm,truth degree and metric are obtaained.关键词
逻辑度量空间/平移群/次范整线性空间/真度/有限域F(2)上的线性赋范空间Key words
logic metric space/translation group/sub-normed Z-linear space/truth degree/normable linear space on the finite field F(2)分类
数理科学引用本文复制引用
胡明娣,王国俊..经典逻辑度量空间中的模2次范整线性空间结构[J].电子学报,2011,39(4):899-905,7.基金项目
国家自然科学基金(No.10771129) （No.10771129）
陕西师范大学研究生培养创新基金(No.2009CXB006) （No.2009CXB006）
