An approach to AHP decision in a dynamic context

被引:36
作者
Benitez, J. [1 ]
Delgado-Galvan, X. [1 ]
Izquierdo, J. [1 ]
Perez-Garcia, R. [1 ]
机构
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain
关键词
Analytic hierarchy process; Dynamic decision-making; Leakage control; Water supply systems; ANALYTIC HIERARCHY PROCESS; GOAL PROGRAMMING METHOD; LEAKAGE MANAGEMENT; COMPARISON MATRIX; WEIGHTS;
D O I
10.1016/j.dss.2012.04.015
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
AHP (analytic hierarchy process) is used to construct coherent aggregate results from preference data provided by decision makers. Pairwise comparison, used by AHP, shares a common weakness with other input formats used to represent user preferences, namely, that the input mode is static. In other words, users must provide all the preference data at the same time, and the criteria must be completely defined from the start. To overcome this weakness, we propose a framework that allows users to provide partial and/or incomplete preference data at multiple times. Since this is a complicated issue, we specifically focus on a particular aspect as a first attempt within this framework. For that reason, we re-examine a mechanism to achieve consistency in AHP, i.e. a linearization process, which provides consistency when adding a new element to the decision process or when withdrawing an obsolete criterion under the dynamic input mode assumption. An algorithm is developed to determine the new priority vector from the users' new input. Finally, we apply the new process to a problem of interest in the water field, specifically, the adoption of a suitable leak control policy in urban water supply. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:499 / 506
页数:8
相关论文
共 29 条
  • [1] Multiobjective Optimization of Rehabilitation and Leakage Detection Scheduling in Water Distribution Systems
    Alvisi, Stefano
    Franchini, Marco
    [J]. JOURNAL OF WATER RESOURCES PLANNING AND MANAGEMENT-ASCE, 2009, 135 (06): : 426 - 439
  • [2] [Anonymous], 2001, Matrix Analysis and Applied Linear Algebra
  • [3] [Anonymous], 2003, LOSSES WATER DISTRIB
  • [4] Deriving weights from pairwise comparison matrices
    Barzilai, J
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1997, 48 (12) : 1226 - 1232
  • [5] Benítez J, 2010, CIVIL-COMP PROCEED, V94
  • [6] Balancing consistency and expert judgment in AHP
    Benitez, J.
    Delgado-Galvan, X.
    Gutierrez, J. A.
    Izquierdo, J.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (7-8) : 1785 - 1790
  • [7] Achieving matrix consistency in AHP through linearization
    Benitez, Julio
    Delgado-Galvan, Xitlali
    Izquierdo, Joaquin
    Perez-Garcia, Rafael
    [J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (09) : 4449 - 4457
  • [8] BRYSON N, 1995, J OPER RES SOC, V46, P641, DOI 10.2307/2584536
  • [9] Modifying inconsistent comparison matrix in analytic hierarchy process: A heuristic approach
    Cao, D.
    Leung, L. C.
    Law, J. S.
    [J]. DECISION SUPPORT SYSTEMS, 2008, 44 (04) : 944 - 953
  • [10] Linear programming models for estimating weights in the analytic hierarchy process
    Chandran, B
    Golden, B
    Wasil, E
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2005, 32 (09) : 2235 - 2254