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诱导连续区间有序加权平均算子及其在区间数群决策中的应用
引用本文:周礼刚,陈华友王晓. 诱导连续区间有序加权平均算子及其在区间数群决策中的应用[J]. 控制与决策, 2010, 25(2): 179-184
作者姓名:周礼刚  陈华友王晓
作者单位:安徽大学数学科学学院,合肥,230039;安徽大学数学科学学院,合肥,230039;安徽大学数学科学学院,合肥,230039;安徽大学数学科学学院,合肥,230039
基金项目:国家自然科学基金项目(70571001);;安徽省优秀青年科技基金项目(08040106835);;安徽省自然科学基金项目(070416245);;安徽省高校青年教师项目(2007jq1017,2008jq1128)
摘    要:基于诱导有序加权平均(IOWA)算子和连续区间有序加权平均(C-OWA)算子,提出一种诱导连续区间有序加权平均(IC-OWA)算子,并讨论了该算子的优良性质.针对区间数互补判断矩阵提出了连续偏好矩阵的概念,定义了基于专家评判水平偏差的诱导连续区间有序加权平均(DIC-OWA)算子,并给出一种基于该算子的区间数群决策方法.最后通过算例说明了该方法的可行性.

关 键 词:决策分析  群决策  区间数  有序加权平均算子
收稿时间:2009-02-25
修稿时间:2009-05-04

The Induced Continuous Ordered Weighted operators and their application in interval group decision making
ZHOU Li-gang,CHEN Hua-you,WANG Xiao,DING Zi-qian. The Induced Continuous Ordered Weighted operators and their application in interval group decision making[J]. Control and Decision, 2010, 25(2): 179-184
Authors:ZHOU Li-gang  CHEN Hua-you  WANG Xiao  DING Zi-qian
Affiliation:School of Mathematical Sciences/a>;Anhui University/a>;Hefei 230039/a>;China.
Abstract:The induced continuous ordered weighted averaging (IC-OWA) operator is proposed based on the induced ordered weighted averaging (IOWA) operator,and the continuous interval argument ordered weighted averaging (C-OWA) operator and some properties are studied. Based on the interval number complementary judgment matrix,the interval continuous complementary preference matrix is proposed,and the induced continuous ordered weighted averaging (DIC-OWA) operator is defined on the basis of the deviation of assessment...
Keywords:Decision making  Group decision making  Interval number  Ordered weighted operator  
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