Title | ||
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Pairwise comparisons matrix decomposition into approximation and orthogonal component using Lie theory |
Abstract | ||
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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 |
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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. Koczkodaj | 1 | 628 | 100.50 |
V. W. Marek | 2 | 0 | 0.34 |
Y. Yayli | 3 | 0 | 0.34 |