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Inconsistency indicator maps on groups for pairwise comparisons

delete2016-02-01
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PRE
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W
Waldemar W. Koczkodaj *
J
Jacek Szybowski
E
Eliza Wajch
DOI:10.1016/j.ijar.2015.11.007delete
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Abstract

Abstract

En 中文
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.
Keywords:
Pairwise comparisons
Inconsistency Inconsistency indicator map
Generalized metric
Group theory
Linearly ordered group
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Journal

International Journal of Approximate Reasoning cover
International Journal of Approximate Reasoning
IF:
3
Papers:
2.9K
Citations:
5.1K

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A
AGH University of Krakow
Scholars:
9.2K
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Citations: 1.2W
L
Laurentian University
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