运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2013年
3期
1-8
,共8页
管理科学与工程%乘性一致性%矩阵分析方法%模糊数互补判断矩阵
管理科學與工程%乘性一緻性%矩陣分析方法%模糊數互補判斷矩陣
관이과학여공정%승성일치성%구진분석방법%모호수호보판단구진
management science and engineering%multiplicative consistency%matrix analysis method%fuzzy number complementary judgment matrix
针对模糊数互补判断矩阵的乘性一致性检验及改进问题进行研究。在文献[11]引入模糊数的Q－算子和模糊数互补判断矩阵的Q－算子矩阵概念的基础上，通过构造具有乘性一致性的特征矩阵及偏差矩阵，建立了衡量乘性一致性程度的指标值并用设定阈值的方法给出了满意乘性一致性的概念，对于不满足满意乘性一致性的情况提出了改进方法。最后通过一个算例说明了此方法的可行性。
針對模糊數互補判斷矩陣的乘性一緻性檢驗及改進問題進行研究。在文獻[11]引入模糊數的Q－算子和模糊數互補判斷矩陣的Q－算子矩陣概唸的基礎上，通過構造具有乘性一緻性的特徵矩陣及偏差矩陣，建立瞭衡量乘性一緻性程度的指標值併用設定閾值的方法給齣瞭滿意乘性一緻性的概唸，對于不滿足滿意乘性一緻性的情況提齣瞭改進方法。最後通過一箇算例說明瞭此方法的可行性。
침대모호수호보판단구진적승성일치성검험급개진문제진행연구。재문헌[11]인입모호수적Q－산자화모호수호보판단구진적Q－산자구진개념적기출상，통과구조구유승성일치성적특정구진급편차구진，건립료형량승성일치성정도적지표치병용설정역치적방법급출료만의승성일치성적개념，대우불만족만의승성일치성적정황제출료개진방법。최후통과일개산례설명료차방법적가행성。
We research on the multiplicative consistency test and modification approach of fuzzy number comple -mentary judgment matrix.It is based on the Q-operator of fuzzy number and Q-operator matrix of fuzzy number complementary judgment matrix introduced in paper [11].By constructing characteristic matrix with multiplica-tive consistency and deviation matrix , we establish a measurement index of the multiplicative consistency degree . Meanwhile, the conception of satisfying multiplicative consistency is given by setting threshold .An improved method is proposed for those not satisfying multiplicative consistency .Finally, a numerical example is given to illustrate the effectiveness of the proposed method .
