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.

引用

页码：81 / 90

页数：10

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