%0 Journal Article
%T Theory of Fuzzy Quotient Space (Methods of Fuzzy Granular Computing)<br>模糊商空间理论(模糊粒度计算方法)
%A ZHANG Ling
%A ZHANG Bo
%A <br>张铃
%A 张钹
%J 软件学报
%D 2003
%I 
%X In this paper, the quotient space model is extended to the fuzzy granular world and two main conclusions are given. First, the following four statements are equivalent: (1) a fuzzy equivalence relation given in universe X, (2) a normalized isosceles distance given in quotient space X], (3) a hierarchical structure given in X, (4) a fuzzy knowledge base given in X. Second, the whole world with different fuzzy granularities composes a complete semi-order lattice. The results provide a powerful mathematical model and tool for granule computing.
%K granule computing
%K quotient space theory of problem solving
%K rough set theory
%K fuzzy set theory
%K quotient space model<br>粒度计算
%K 问题求解的商空间理论
%K 粗糙集理论
%K 模糊集理论
%K 商空间模型
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=0BDCED1A024AF1F6&yid=D43C4A19B2EE3C0A&vid=F3583C8E78166B9E&iid=E158A972A605785F&sid=BDEE8BA20F4733DB&eid=FE17D37BFC90FA6B&journal_id=1000-9825&journal_name=软件学报&referenced_num=108&reference_num=14