Inconsistency indicator maps on groups for pairwise comparisons

被引：20
|
作者：
Koczkodaj, Waldemar W. [1 ]
Szybowski, Jacek [2 ]
Wajch, Eliza [3 ]
机构：
[1] Laurentian Univ, Comp Sci, 935 Ramsey Lake Rd, Sudbury, ON P3E 2C6, Canada
[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
[3] Siedlce Univ Nat Sci & Humanities, Inst Math & Phys, 3 Maja 54, PL-08110 Siedlce, Poland
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2016年 / 69卷
关键词：
Pairwise comparisons; Inconsistency Inconsistency indicator map; Generalized metric; Group theory; Linearly ordered group; DISTANCE-BASED INCONSISTENCY; COMPARISON MATRICES; METRIC-SPACES; CONSISTENCY; DEFINITION;
D O I：
10.1016/j.ijar.2015.11.007
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
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页码：81 / 90
页数：10
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