A critical analysis of the eigenvalue method used to derive priorities in AHP

被引：223

作者：

Bana E Costa, Carlos A. ^{[1
,2
]}

Vansnick, Jean-Claude ^{[3
]}

机构：

[1] Univ Tecn Lisboa, CEG IST, Ctr Management Studies, Lisbon, Portugal

[2] Univ London London Sch Econ & Polit Sci, Dept Management Operat Res Grp, London, England

[3] Univ Mons, FWSE, B-7000 Mons, Belgium

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2008年 / 187卷 / 03期

基金：

中国国家自然科学基金;

关键词：

decision analysis; Analytic Hierarchy Process; eigenvalue method; condition of order preservation;

D O I：

10.1016/j.ejor.2006.09.022

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

A lot of research has been devoted to the critical analysis of the Analytic Hierarchy Process (AHP), from various perspectives. However, as far as we know, no one has addressed a fundamental problem, discussed in this paper, concerning the meaning of the priority vector derived from the principal eigenvalue method used in AHP. The role of AHP's consistency ratio is also analysed. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：1422 / 1428

页数：7

共 40 条

[1] [Anonymous], 2000, FUNDAMENTALS ANAL HI
[2] BARZILAI J, 1994, INFOR, V32, P57
[3] ON A SHORT-COMING OF SAATY METHOD OF ANALYTIC HIERARCHIES
BELTON, V
GEAR, T
[J]. OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1983, 11 (03): : 228 - 230
[4] THE LEGITIMACY OF RANK REVERSAL - A COMMENT
BELTON, V
GEAR, T
[J]. OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1985, 13 (03): : 143 - 144
[5] BELTON V, 2002, OMEGA
[6] Coriolis flow meters - the potential for outstanding dynamic performance
Clark, C
Cheesewright, R
[J]. MEASUREMENT & CONTROL, 2003, 36 (09) : 275 - +
[7] REMARKS ON THE ANALYTIC HIERARCHY PROCESS
DYER, JS
[J]. MANAGEMENT SCIENCE, 1990, 36 (03) : 249 - 258
[8] The Analytic Hierarchy Process - An exposition
Forman, EH
Gass, SI
[J]. OPERATIONS RESEARCH, 2001, 49 (04) : 469 - 486
[9] French S., 1988, Decision theory-An introduction to the mathematics of rationality
[10] Golden BL., 1989, Applications and Studies, Berlin, Heidelberg, V2, P1, DOI DOI 10.1007/978-3-642-50244-6

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