Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments

被引:4
作者
Wan Yucheng 1
2. Dept. of Air Materiel
3. School of Management Science and Engineering
机构
关键词
AHP; uncertainty; unascertained rational number; attribute judgment matrix;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The ranking problem is studied when the pairwise comparisons values are uncertain in the analytic hierarchy process (AHP). The method of constructing the judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. By turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:115 / 120
页数:6
相关论文
共 7 条
  • [1] The mathematical treatment of uncertainty information and its application(in Chinese). Liu K D,Wu H Q,Pan YJ,et al. . 1999
  • [2] A study on the extension AHP method(in Chinese). Gao J,Sheng Z H. Systems Engineering . 2002
  • [3] Incorporating the uncertainty of decision judgments in the analytic hierarchy process. Sajjad Zahir M. European Journal of Operational Research . 1991
  • [4] Extensions of the analytic hierarchy process in fuzzy environment. Xu R N,Zhai X Y. Fuzzy Sets and Systems . 1992
  • [5] The analytic hierarchy process. Saaty T L. . 1980
  • [6] The principle on AHP(in Chinese). Xu S B. . 1988
  • [7] Strong transitivity,rationality and weak monotonicity in fuzzy pairwise comparisons. Gogus O,Boucher T O. Fuzzy Sets and Systems . 1998