%0 Journal Article
%T Construction and Application of Validity Function for Fuzzy Division<br>模糊划分有效性函数的构建与应用
%A SUN Cai-zhi~
%A LIN Xue-yu~
%A <br>孙才志
%J 系统工程理论与实践
%D 2004
%I 
%X On the base of normal Bezdek fuzzy division model, the new fuzzy division model considering weights was introduced. According to the theory of difference analysis in statistics and entropy theory in information theory, two functions-F statistics and fuzzy division entropy were constructer, the F statistics was mainly used to determine the optimal division number and the fuzzy division entropy was used to verify the validity of division. At last, a practical example was presented to verify the effective of the two functions and robust property of F statistics.
%K fuzzy division
%K weights
%K difference analysis
%K information entropy
%K F statistics
%K fuzzy division entropy
%K validity
%K robust property<br>模糊划分
%K 权重
%K 方差分析
%K 信息熵
%K F统计量
%K 模糊划分熵
%K 有效性
%K 鲁棒性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=A5DE499FAC1FC0BB&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=F24949CFDB502409&eid=4DB1E72614E68564&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=1&reference_num=10