Title
Pairwise comparisons matrix decomposition into approximation and orthogonal component using Lie theory
Abstract
This paper examines the use of Lie group and Lie Algebra theory to construct the geometry of pairwise comparisons matrices. The Hadamard product (also known as coordinatewise, coordinate-wise, elementwise, or element-wise product) is analyzed in the context of inconsistency and inaccuracy by the decomposition method.
Year
DOI
Venue
2021
10.1016/j.ijar.2021.09.009
International Journal of Approximate Reasoning
Keywords
DocType
Volume
Approximate reasoning,Subjectivity,Inconsistency,Consistency-driven,Pairwise comparison,Matrix Lie group,Lie algebra,Approximation,Orthogonality,Decomposition
Journal
139
Issue
ISSN
Citations 
1
0888-613X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Waldemar W. Koczkodaj1628100.50
V. W. Marek200.34
Y. Yayli300.34