系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2008年
3期
118~124
,共null页
周世忠 朱建军 刘思峰 王翯华
週世忠 硃建軍 劉思峰 王翯華
주세충 주건군 류사봉 왕학화
群决策 不确定性偏好 集结方法 目标规划
群決策 不確定性偏好 集結方法 目標規劃
군결책 불학정성편호 집결방법 목표규화
group decision making; uncertain preference; aggregation approach; goal programming
研究群决策过程中区间数偏好序、区间数效用值、区间数互反判断矩阵与区间数互补判断矩阵等四类不确定性偏好信息的集结方法.定义四类不确定性偏好信息的一致性,建立具有相同决策机理的各类不确定性偏好信息的统一权重求解模型.为解决决策误导问题,引入偏差系数建立权重分布范围的估计模型.建立决策群体意见集结的目标规划方法,研究了模型所具有的性质.为度量决策群体意见的一致度,定义了专家偏好与综合偏好的决策关联度系数和排序相关性系数.
研究群決策過程中區間數偏好序、區間數效用值、區間數互反判斷矩陣與區間數互補判斷矩陣等四類不確定性偏好信息的集結方法.定義四類不確定性偏好信息的一緻性,建立具有相同決策機理的各類不確定性偏好信息的統一權重求解模型.為解決決策誤導問題,引入偏差繫數建立權重分佈範圍的估計模型.建立決策群體意見集結的目標規劃方法,研究瞭模型所具有的性質.為度量決策群體意見的一緻度,定義瞭專傢偏好與綜閤偏好的決策關聯度繫數和排序相關性繫數.
연구군결책과정중구간수편호서、구간수효용치、구간수호반판단구진여구간수호보판단구진등사류불학정성편호신식적집결방법.정의사류불학정성편호신식적일치성,건립구유상동결책궤리적각류불학정성편호신식적통일권중구해모형.위해결결책오도문제,인입편차계수건립권중분포범위적고계모형.건립결책군체의견집결적목표규화방법,연구료모형소구유적성질.위도량결책군체의견적일치도,정의료전가편호여종합편호적결책관련도계수화배서상관성계수.
The group aggregation approach of four kinds of uncertain preference information is studied which are interval preference order, interval utility value, and interval number reciprocal comparison matrix and interval number complementary comparison matrix. Firstly, the uniform weight model for each uncertain preference is proposed based on consistency definitions, which has the same decision-making mechanism. In order to solve the decision-making misleading problem, the weight distributing model is suggested according to the error factor. Then, the goal programming model is put forward to aggregate the group preference. The property of the model is proved. The relation degree index and the spearman rank correlation coefficient between the expert preference and the group are introduced to measure the group consistency degree.