连续论域上Fuzzy集的信息熵  

Information Entropy of Fuzzy Sets over Continuous Universe of Discourse

作　　者：仇计清[1] 姜文鹏[1] 周长杰[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《模糊系统与数学》2007年第1期63-67,共5页Fuzzy Systems and Mathematics

基　　金：河北省自然科学基金资助项目(603384);河北省教育厅博士基金资助项目(B200218)

摘　　要：在文献[1]的基础上,把模糊熵从离散论域推广到连续论域,给出连续论域上Fuzzy集的偏熵、关联熵等概念。对其主要性质进行讨论,取得了一些令人满意的结果。拓宽信息熵的研究领域,对不确定复杂系统的信息处理、知识学习、归纳学习、模糊信息学的进一步研究打下一定基础。Based on the paper [1], as the development of the concept of fuzzy entropy from discrete universe of discourse to continuous universe of discourse, partial entropy and relative entropy of fuzzy sets over continuous universe of discourse are given. Then some main properties of them are analyzed respectively, we abain some satisfied results. It developed the research field of information entropy, and settled some foundation for the further research of information processing, knowledge acquisition, inductive learning and fuzzy information of uncertain complex systems.

关 键 词：FUZZY集 熵 偏熵 关联熵 

分 类 号：O159[理学—数学]