Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean

被引：104

作者：

Ramik, Jaroslav ^{[1
]}

Korviny, Petr ^{[1
]}

机构：

[1] Silesian Univ Opava, Sch Business Adm Karvina, Karvina 73340, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 11期

关键词：

Data analysis; Decision making; Uncertainty; Pair-wise comparison; Reciprocal matrix; Inconsistency; Triangular fuzzy numbers; ANALYTIC HIERARCHY PROCESS; CONSISTENCY INDEX; AHP;

D O I：

10.1016/j.fss.2009.10.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, inconsistency of pair-wise comparison matrix with fuzzy elements is investigated. Inconsistency is based on the distance of the matrix to a special matrix measured by a particular metric. New inconsistency index of reciprocal matrix with fuzzy elements is introduced and newly designed method of logarithmic least squares for eliciting associated weights is applied. Some basic properties of the index are derived, simple illustrating examples and results of numerical simulation for comparing the new index with Saaty's consistency ratio are supplied. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1604 / 1613

页数：10