系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2007年
1期
18~22
,共null页
层次分析法 判断矩阵 次序一致性 一致性检验
層次分析法 判斷矩陣 次序一緻性 一緻性檢驗
층차분석법 판단구진 차서일치성 일치성검험
analytical hierarchy process; comparison matrix; ordinal consistency; consistency test
研究层次分析法中判断矩阵次序一致性检验及改进方法．指出判断矩阵次序一致性和基本一致性之间无相关性的特点，提出对判断矩阵应首先进行次序一致性检验，并把判断矩阵转化成0-1矩阵，利用图论理论得到如下结论：0-1矩阵对应的有向图中，若含有边长大于3的循环链，则一定能构造出边长为3的循环链．基于此结论，设计检验判断矩阵是否具有次序一致性的算法．对不具有次序一致性的判断矩阵。提出两条修改原则．
研究層次分析法中判斷矩陣次序一緻性檢驗及改進方法．指齣判斷矩陣次序一緻性和基本一緻性之間無相關性的特點，提齣對判斷矩陣應首先進行次序一緻性檢驗，併把判斷矩陣轉化成0-1矩陣，利用圖論理論得到如下結論：0-1矩陣對應的有嚮圖中，若含有邊長大于3的循環鏈，則一定能構造齣邊長為3的循環鏈．基于此結論，設計檢驗判斷矩陣是否具有次序一緻性的算法．對不具有次序一緻性的判斷矩陣。提齣兩條脩改原則．
연구층차분석법중판단구진차서일치성검험급개진방법．지출판단구진차서일치성화기본일치성지간무상관성적특점，제출대판단구진응수선진행차서일치성검험，병파판단구진전화성0-1구진，이용도론이론득도여하결론：0-1구진대응적유향도중，약함유변장대우3적순배련，칙일정능구조출변장위3적순배련．기우차결론，설계검험판단구진시부구유차서일치성적산법．대불구유차서일치성적판단구진。제출량조수개원칙．
The test and modification approach on the ordinal consistency in the analytical hierarchy process （AHP） is studied. The irrelevant relationship between the ordinal consistency and the basis consistency of the Comparison matrix is put forward. Then, the conclusion that the comparison matrix must be checked firstly on the ordinal consistency is concluded. To find the ordinal consistency test approach, the comparison matrix is transformed into a particular matrix that is comprised of zero or one. Following that, a test algorithm and two ordinal modification rules are developed based on the conclusion that a three-side circuit can be constructed if there exists a more than three-side circuit in the directed graph from the particular matrix.
