Analysis of pairwise comparison matrices: an empirical research

被引:25
|
作者
Bozoki, Sandor [1 ,2 ]
Dezso, Linda [3 ]
Poesz, Attila [2 ]
Temesi, Jozsef [2 ]
机构
[1] Hungarian Acad Sci MTA SZTAKI, Comp & Automat Res Inst, Budapest, Hungary
[2] Corvinus Univ Budapest, Dept Operat Res & Actuarial Sci, Budapest, Hungary
[3] Univ Vienna, Dept Appl Psychol Work Educ & Econ, Vienna, Austria
基金
匈牙利科学研究基金会;
关键词
Multi-attribute decision making; Experimental techniques in decision making; Pairwise comparisons; Inconsistency; Incomplete pairwise comparison matrix; NUMBER; 7; CONSISTENCY; LIMITS; PLUS;
D O I
10.1007/s10479-013-1328-1
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Pairwise comparison (PC) matrices are used in multi-attribute decision problems (MADM) in order to express the preferences of the decision maker. Our research focused on testing various characteristics of PC matrices. In a controlled experiment with university students (N=227) we have obtained 454 PC matrices. The cases have been divided into 18 subgroups according to the key factors to be analyzed. Our team conducted experiments with matrices of different size given from different types of MADM problems. Additionally, the matrix elements have been obtained by different questioning procedures differing in the order of the questions. Results are organized to answer five research questions. Three of them are directly connected to the inconsistency of a PC matrix. Various types of inconsistency indices have been applied. We have found that the type of the problem and the size of the matrix had impact on the inconsistency of the PC matrix. However, we have not found any impact of the questioning order. Incomplete PC matrices played an important role in our research. The decision makers behavioral consistency was as well analyzed in case of incomplete matrices using indicators measuring the deviation from the final order of alternatives and from the final score vector.
引用
收藏
页码:511 / 528
页数:18
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