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
159~165
,共null页
层次分析 灰元 弱一致性 一致性
層次分析 灰元 弱一緻性 一緻性
층차분석 회원 약일치성 일치성
AHP; grey-element ; weak consistency; consistency
从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发，去给出灰色判断矩阵的弱一致性和一致性定义，证明了一致性灰阵中所含信息均为一致性信息，并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法．这些性质和定理为去掉判断矩阵中的冗余信息，进一步给出排序方法提供了必要的理论依据．
從尋求灰色判斷矩陣的所有一緻性白化陣、灰元的最小灰域的角度齣髮，去給齣灰色判斷矩陣的弱一緻性和一緻性定義，證明瞭一緻性灰陣中所含信息均為一緻性信息，併給齣瞭判定矩陣是否具有弱一緻性和尋求弱一緻性判斷矩陣的等價一緻性矩陣的定理和算法．這些性質和定理為去掉判斷矩陣中的冗餘信息，進一步給齣排序方法提供瞭必要的理論依據．
종심구회색판단구진적소유일치성백화진、회원적최소회역적각도출발，거급출회색판단구진적약일치성화일치성정의，증명료일치성회진중소함신식균위일치성신식，병급출료판정구진시부구유약일치성화심구약일치성판단구진적등개일치성구진적정리화산법．저사성질화정리위거도판단구진중적용여신식，진일보급출배서방법제공료필요적이론의거．
The definition of weak consistency and consistency of grey judgement matrix are given from the viewpoint of finding all consistency whitening treatment matrix of grey judgement matrix and minimal grey domain of grey element. The truth that the information of consistency grey matrix all is consistency information is proofed. How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed. These properties and theory for deleting redundant information of judgement matrix and giving ranking method provide necessary theory foundation.
