系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2005年
8期
85~91
,共null页
层次分析法 一致性调整 聚类分析 凸组合 生成元
層次分析法 一緻性調整 聚類分析 凸組閤 生成元
층차분석법 일치성조정 취류분석 철조합 생성원
analytic hierarchy process; consistency regulation ; clustering analysis; convex combination; buildingelement
提出了两种专家判断矩阵一致性调整的新方法:一般的Hadamard凸组合(Easy-HCC)方法和基于系统聚类分析的Hadamard凸组合(HCC)方法.首先利用判断矩阵的生成元生成一致的正互反生成矩阵,前一种方法对生成矩阵作简单的几何平均;后一种方法通过系统聚类分析,对生成矩阵进行一致性聚类,并以此为基础,按少数服从多数的原则分配权重系数,对生成矩阵进行加权几何平均,获得一致的正互反调整矩阵.然后把这两种方法分别与传统的方法相比较,用同一个算例证明了加法凸组合和前一种方法对判断矩阵调整的无效性,并分析了后一种方法的有效性和实用性.
提齣瞭兩種專傢判斷矩陣一緻性調整的新方法:一般的Hadamard凸組閤(Easy-HCC)方法和基于繫統聚類分析的Hadamard凸組閤(HCC)方法.首先利用判斷矩陣的生成元生成一緻的正互反生成矩陣,前一種方法對生成矩陣作簡單的幾何平均;後一種方法通過繫統聚類分析,對生成矩陣進行一緻性聚類,併以此為基礎,按少數服從多數的原則分配權重繫數,對生成矩陣進行加權幾何平均,穫得一緻的正互反調整矩陣.然後把這兩種方法分彆與傳統的方法相比較,用同一箇算例證明瞭加法凸組閤和前一種方法對判斷矩陣調整的無效性,併分析瞭後一種方法的有效性和實用性.
제출료량충전가판단구진일치성조정적신방법:일반적Hadamard철조합(Easy-HCC)방법화기우계통취류분석적Hadamard철조합(HCC)방법.수선이용판단구진적생성원생성일치적정호반생성구진,전일충방법대생성구진작간단적궤하평균;후일충방법통과계통취류분석,대생성구진진행일치성취류,병이차위기출,안소수복종다수적원칙분배권중계수,대생성구진진행가권궤하평균,획득일치적정호반조정구진.연후파저량충방법분별여전통적방법상비교,용동일개산예증명료가법철조합화전일충방법대판단구진조정적무효성,병분석료후일충방법적유효성화실용성.
Two new methods for regulating the consistency of the judgment matrix are presented. They are the general Hadamard convex combination (Easy-HCC) and clustering analysis-based Hadamard convex combination (HCC). Firstly, the building elements of the judgment matrix were constructed to positive reciprocal consistent building matrices. The first method was to do the geometric mean for the building matrices, and the later was to cluster the building matrices on the consistency with clustering analyzing to them. Based on this and the rule of majority their weight coefficient assigned. Then did the geometric mean with weight for the building matrices and a consistent transformed matrix was gained. At last, the two methods separately with the traditionary methods were compared. An example was used to explain the invalidity and inaccuracy of the add convex combination and the first method and the validity and usefulness of the later.