Title
An LP-based inconsistency monitoring of pairwise comparison matrices
Abstract
A distance-based inconsistency indicator, defined by the third author for the consistency-driven pairwise comparison method, is extended to the incomplete case. The corresponding optimization problem is transformed into an equivalent linear programming problem. The results can be applied in the process of filling in the matrix as the decision maker gets automatic feedback. As soon as a serious error occurs among the matrix elements, even due to a misprint, a significant increase in the inconsistency index is reported. The high inconsistency may be alarmed not only at the end of the process of filling in the matrix but also during the completion process. Numerical examples are also provided.
Year
DOI
Venue
2011
10.1016/j.mcm.2011.03.026
Mathematical and Computer Modelling: An International Journal
Keywords
Field
DocType
Linear programming,Incomplete data,Inconsistency analysis,Pairwise comparisons
Pairwise comparison,Mathematical optimization,Matrix (mathematics),Algorithm,Linear programming,Optimization problem,Mathematics,Decision maker
Journal
Volume
Issue
ISSN
abs/1505.01902
1
Mathematical and Computer Modelling, v.54(1-2),789-793, 2011
Citations 
PageRank 
References 
9
0.48
8
Authors
3
Name
Order
Citations
PageRank
S. BozóKi190.48
J. FüLöP21007.91
Waldemar W. Koczkodaj3628100.50