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Inconsistency indicator maps on groups for pairwise comparisons
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DOI：10.1016/j.ijar.2015.11.007.png)
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This study presents an abelian group approach to analyzing inconsistency in pairwise comparisons. A notion of an inconsistency indicator map on a group, taking values in an abelian linearly ordered group, is introduced. For it, metrics and generalized metrics are utilized. Every inconsistency indicator map generates both a metric on a group and an inconsistency indicator of an arbitrary pairwise comparisons matrix over the group. (C) 2015 Published by Elsevier Inc.
Keyword:
Pairwise comparisons
Inconsistency Inconsistency indicator map
Generalized metric
Group theory
Linearly ordered group
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