A belief comparison matrix and its integration method for AHP with incomplete information
In this paper, a belief comparison matrix and its integration method are proposed for the analytic hierarchy process (AHP) with incomplete information. Different from most of current methods, the belief comparison matrices can distinguish the uncertainty from ignorance for AHP under the incomplete information circumstance. On the base of Dempster-Shafer theory of evidence, the pairwise comparison values with respect to preference first are given as belief values. Then the belief judgment matrices are integrated by the evidence reasoning (ER) combination rules. After the integration comparison values matrix being transformed into the reciprocal judgment matrix by a weighted geometric averaging operator, the weights vector can be worked out by using the original approach of AHP. A numerical example is studied to illustrate the detailed implementation process of the approach and demonstrate its potential applications in MADM problems with incomplete information.
belief comparison matrix AHP evidence reasoning
Hongtao Zhang Weidong Zhu Yong Wu Hui Wang
School of Management Hefei University of Technology Hefei 230009, China School of Science Anhui Univ School of Management Hefei University of Technology Hefei 230009, China School of Science Anhui University of Science and Technology Huainan, 232001, China
国际会议
黄山
英文
166-169
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）