Name
Abstract | ||
|---|---|---|
In this study, a pairwise comparison matrix is generalized to the case when coefficients create Lie group $G$, non necessarily abelian. A necessary and sufficient criterion for pairwise comparisons matrices to be consistent is provided. Basic criteria for finding a nearest consistent pairwise comparisons matrix (extended to the class of group $G$) are proposed. A geometric interpretation of pairwise comparisons matrices in terms of connections to a simplex is given. Approximate reasoning is more effective when inconsistency in data is reduced. |
Year | Venue | Field |
|---|---|---|
2016 | arXiv: Logic | Lie group,Pairwise comparison,Discrete mathematics,Abelian group,Combinatorics,Matrix (mathematics),Simplex,Approximate reasoning,Pairwise independence,Mathematics,Pairwise comparison matrix |
DocType | Volume | Citations |
Journal | abs/1601.06301 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Waldemar W. Koczkodaj | 1 | 628 | 100.50 |
| Jean-Pierre Magnot | 2 | 15 | 2.01 |