%0 Journal Article
%T Study on the Symmetry Properties of Weighting Vectors of Information Aggregation Operators<br>信息集成算子加权向量的对称性研究
%A ZHANG Hong-mei
%A XU Ze-shui
%A <br>张洪美
%A 徐泽水
%J 系统工程理论与实践
%D 2006
%I 
%X In this paper,we investigate the symmetry properties of weighting vectors of information aggregation operators,and present an ascending ordered weighted arithmetic averaging(AOWAA) operator and a linguistic AOWAA operator.We give,respectively,an equivalence condition of the descending ordered weighted arithmetic averaging(DOWAA) operator and ascending ordered weighted arithmetic averaging(AOWAA) operator,descending ordered weighted geometric(DOWGA) operator and ascending ordered weighted geometric(AOWGA) operator,linguistic DOWAA operator and linguistic AOWAA operator.Based on the symmetrical weighting vectors,we show that 1) If all the individual complementary judgment matrices are aggregated by using the DOWAA operator,then their aggregated judgment matrices are also complementary;2) If all the individual reciprocal judgment matrices are aggregated by using the DOWGA operator,then their aggregated judgment matrices are also reciprocal;3) If all the individual linguistic complementary judgment matrices are aggregated by using the linguistic DOWAA operator,then their aggregated judgment matrices are also linguistic complementary.Finally,we discuss the symmetry properties of some common weighting vectors of information aggregation operators.
%K ordered weighted averaging operator
%K weight
%K symmetry
%K judgment matrices<br>信息集成算子
%K 权重
%K 对称性
%K 判断矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=444BC3071A2794B9&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=38B194292C032A66&sid=80A07035DF96B0C4&eid=0D0D661F0B316AD5&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=0&reference_num=14