By the transformation relations between complementary judgement matrix and recip- rocal judgement matrix,this paper proposes two methods for improving the consistency of com- plementary judgement matrix and gives tw...By the transformation relations between complementary judgement matrix and recip- rocal judgement matrix,this paper proposes two methods for improving the consistency of com- plementary judgement matrix and gives two simple practical iterative algorithms.These two al- gorithms are easy to implementon computer,and the modified complementary judgementmatri- ces remain most information that original matrix contains.Thus the methods supplement and develop the theory and methodology for improving consistency of complementary judgement matrix展开更多
Based on the concept of multiplicative fuzzy consistent complementary judgement matrix, the mixed least square method （MLSM） for priority of complementary judgement matrix is proposed and proved. Then, the correspon...Based on the concept of multiplicative fuzzy consistent complementary judgement matrix, the mixed least square method （MLSM） for priority of complementary judgement matrix is proposed and proved. Then, the corresponding convergent iterative algorithm is given and its convergence is proved. Finally, some main properties of the developed priority method, such as rank preservation under strong condition, etc., ate introduced. The theoretical analyses show that the MLSM can sufficiently reflect the preference information of the decision maker, and is easy to realize on a computer.展开更多
基金Supported by the National Natural Science Foundation of China(79970 0 93 ) and the Subject of PLAUniversity of Science and Technology
文摘By the transformation relations between complementary judgement matrix and recip- rocal judgement matrix,this paper proposes two methods for improving the consistency of com- plementary judgement matrix and gives two simple practical iterative algorithms.These two al- gorithms are easy to implementon computer,and the modified complementary judgementmatri- ces remain most information that original matrix contains.Thus the methods supplement and develop the theory and methodology for improving consistency of complementary judgement matrix
基金The Project of Shaanxi Provincial Natural Science Foundation of China (No.2004A05)the Project of Science and Research Foundation of Education Committee of Shaanxi Province (No.06JK324)
文摘Based on the concept of multiplicative fuzzy consistent complementary judgement matrix, the mixed least square method （MLSM） for priority of complementary judgement matrix is proposed and proved. Then, the corresponding convergent iterative algorithm is given and its convergence is proved. Finally, some main properties of the developed priority method, such as rank preservation under strong condition, etc., ate introduced. The theoretical analyses show that the MLSM can sufficiently reflect the preference information of the decision maker, and is easy to realize on a computer.
