Paper Info
Title
Analysis of pairwise comparison matrices: an empirical research.
Abstract
Abstract 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.
Year
DOI
Venue
2013
10.1007/s10479-013-1328-1
Annals of Operations Research
Keywords
Field
DocType
Multi-attribute decision making,Experimental techniques in decision making,Pairwise comparisons,Inconsistency,Incomplete pairwise comparison matrix
Pairwise comparison,Data mining,Decision problem,Mathematical optimization,Matrix (mathematics),Theoretical computer science,Controlled experiment,Mathematics,Empirical research,Decision maker
Journal
Volume
Issue
ISSN
211
1
1572-9338
Citations 
PageRank 
References 
8
0.53
15
Authors
4
Name
Order
Citations
PageRank
Sándor Bozóki115810.98
linda dezső280.53
Attila Poesz3281.75
József Temesi4282.13