%0 Journal Article
%T Method for Constructing Intuitionistic Fuzzy Equivalent Matrixes<br>直觉模糊等价矩阵构造方法
%A LEI Ying-jie
%A WANG Bao-shu
%A HU Jun-hong
%A <br>雷英杰
%A 王宝树
%A 胡军红
%J 系统工程理论与实践
%D 2007
%I 
%X The issues of Intuitionistic Fuzzy(IF) resembling relations and the construction of IF equivalent matrixes get deeply into investigation,and a method for constructing IF equivalent matrixes by finding the transitive closure is proposed with a related proof in theory.The proof of a theorem,i.e.an IF resembling matrix via exertion of composition operations with any k-times is still an IF one,is first made out by utilizing composition operations on IFSs and the combo rules and a related lemma and the method of mathematical induction.Then,theorems of transitive closure of n-order IF matrix and resembling matrix are proven with a derived deduction on a minimum IF equivalent matrix with an inclusion R,by synthetically utilizing the fundamental notions of a minimum IF transitive matrix and a related lemma.Finally,a conclusion is presented that an intuitionistic fuzzy equivalent matrix can be constructed out by using the techniques for finding transitive closure via a series of composition operations with limited times from an intuitionistic fuzzy resembling matrix R.
%K intuitionistic fuzzy sets
%K fuzzy relations
%K resembling relations
%K transitive closure
%K equivalent matrix<br>直觉模糊集
%K 直觉模糊关系
%K 相似关系
%K 传递闭包
%K 等价矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=78CE95A91880157F&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=DF92D298D3FF1E6E&sid=B344543C2864D684&eid=6DE26652A1045643&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=0&reference_num=11