知识积分与知识熵  

Knowledge Integral and Knowledge Entropy

作　　者：张贤勇[1] 谢寿才[2] 莫智文[1] 

机构地区：[1]四川师范大学基础部,四川成都610110 [2]四川师范大学化学与材料科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2008年第1期14-17,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(69803007);四川省青年基金资助项目

摘　　要：基于粗糙集理论的知识库,定义了知识积分和与知识积分,研究了它们自身的性质及与勒贝格积分和、勒贝格积分的关系.证明了知识熵本质是一种知识积分和,并以知识积分和与知识积分为手段研究了知识熵,得出了如知识熵对于定义在知识上的"较细"偏序关系单调下降等重要结论.Based on knowledge base of rough sets theory, knowledge integral sum and knowledge integral are defined. Their properties and the connection with Lebesgue integral sum and integral are studied. It is proved that entropy of knowledge is in nature a kind of knowledge integral sums. The entropy of knowledge is studied by knowledge integral sum and knowledge integral, some important conclusions, such as that the entropy of knowledge is decreasing for the partial order finer on knowledge, are obtained.

关 键 词：粗糙集理论 勒贝格积分 熵 知识积分和 知识积分 

分 类 号：O174[理学—数学] TP18[理学—基础数学]