The geometric consistency index:: Approximated thresholds

被引：425

作者：

Aguarón, J ^{[1
]}

Moreno-Jiménez, JM ^{[1
]}

机构：

[1] Univ Zaragoza, Fac Econ, Dpto Metodos Estadisticos, Zaragoza 50005, Spain

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2003年 / 147卷 / 01期

关键词：

multicriteria; AHP; geometric mean; consistency; thresholds;

D O I：

10.1016/S0377-2217(02)00255-2

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

Crawford and Williams [Journal of Mathematical Psychology 29 (1985) 387] suggested for the Row Geometric Mean Method (RGMM), one of the most extended AHP's priorization procedure, a measure of the inconsistency based on stochastic properties of a subjacent model. In this paper, we formalize this inconsistency measure, hereafter called the Geometric Consistency Index (GCI), and provide the thresholds associated with it. These thresholds allow us an interpretation of the inconsistency tolerance level analogous to that proposed by Saaty [Multicriteria Decision Making: The Analytic Hierarchy Process, New York, 1980] for the Consistency Ratio (CR) used with the Right Eigenvector Method in Conventional-AHP. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：137 / 145

页数：9

共 50 条

[1] DYNAMIC THRESHOLDS OF GEOMETRIC CONSISTENCY INDEX ASSOCIATED WITH PAIRWISE COMPARISON MATRIX
Lin, Changsheng
Kou, Gang
Peng, Yi
Hefni, Mohammed A.
[J]. TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY, 2022, 28 (04) : 1137 - 1157
[2] On the transitivity and consistency approximated thresholds of some consistency indices for pairwise comparison matrices
Amenta, Pietro
Lucadamo, Antonio
Marcarelli, Gabriella
[J]. INFORMATION SCIENCES, 2020, 507 (507) : 274 - 287
[3] Approximated consistency for knapsack constraints
Sellmann, M
[J]. PRINCIPLES AND PRACTICE OF CONSTRAINT PROGRAMMING - CP 2003, PROCEEDINGS, 2003, 2833 : 679 - 693
[4] Geometric consistency index for interval pairwise comparison matrices
Tu, Jiancheng
Wu, Zhibin
Xu, Jiuping
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2023, 74 (05) : 1229 - 1241
[5] Approximated consistency for the automatic recording constraint
Sellmann, Meinolf
[J]. COMPUTERS & OPERATIONS RESEARCH, 2009, 36 (08) : 2341 - 2347
[6] The practice of approximated consistency for knapsack constraints
Sellmann, M
[J]. PROCEEDING OF THE NINETEENTH NATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE SIXTEENTH CONFERENCE ON INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2004, : 179 - 184
[7] Approximated consistency for the automatic recording problem
Sellmann, M
[J]. PRINCIPLES AND PRACTICE OF CONSTRAINT PROGRAMMING - CP 2005, PROCEEDINGS, 2005, 3709 : 822 - 826
[8] GEOMETRIC STRUCTURES APPROXIMATED BY MAXWELL EQUATIONS
MARTIN, G
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1993, 32 (06) : 985 - 1004
[9] Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process
Aguaron, Juan
Escobar, Maria Teresa
Moreno-Jimenez, Jose Maria
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2021, 288 (02) : 576 - 583
[10] The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices
Aguaron, Juan
Teresa Escobar, Maria
Maria Moreno-Jimenez, Jose
Turon, Alberto
[J]. MATHEMATICS, 2020, 8 (06)

← 1 2 3 4 5 →