Axiomatic foundation of the analytic hierarchy process
Management Science
The theory of ratio scale estimation: Saaty's analytic hierarchy process
Management Science
Computers and Operations Research
Computers and Industrial Engineering
Application of Analytic Network Process (ANP) in Assessing Construction Risk of Urban Bridge Project
ICICIC '07 Proceedings of the Second International Conference on Innovative Computing, Informatio and Control
Modifying inconsistent comparison matrix in analytic hierarchy process: A heuristic approach
Decision Support Systems
Computers and Operations Research
Risk management in uncapacitated facility location models with random demands
Computers and Operations Research
Analytic network process and multi-period goal programming integration in purchasing decisions
Computers and Industrial Engineering
An empirical study of classification algorithm evaluation for financial risk prediction
Applied Soft Computing
User preferences based software defect detection algorithms selection using MCDM
Information Sciences: an International Journal
Analysis of benefits, opportunities, costs, and risks (BOCR) with the AHP-ANP: A critical validation
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Using the TODIM-FSE method as a decision-making support methodology for oil spill response
Computers and Operations Research
A FTA-based method for risk decision-making in emergency response
Computers and Operations Research
Risk decision analysis in emergency response: A method based on cumulative prospect theory
Computers and Operations Research
Community-based collaborative information system for emergency management
Computers and Operations Research
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In risk assessment and decision analysis, the analytical network process (ANP) is widely used to assess the key factors of risks and analyze the impacts and preferences of decision alternatives. There are lots of comparison matrices for a complicated risk assessment problem, but a decision has to be made rapidly in emergency cases. However, in the ANP, the reciprocal pairwise comparison matrices (RPCM) are more complicated and difficult than AHP. The consistency test and the inconsistent elements identification need to be simplified. In this paper, a maximum eigenvalue threshold is proposed as the consistency index for the ANP in risk assessment and decision analysis. The proposed threshold is mathematically equivalent to the consistency ratio (CR). To reduce the times of consistency test, a block diagonal matrix is introduced for the RPCM to conduct consistency tests simultaneously for all comparison matrices. Besides, the inconsistent elements can be identified and adjusted by an induced bias block diagonal comparison matrix. The effectiveness and the simplicity of the proposed maximum eigenvalue threshold consistency test method and the inconsistency identification and adjustment method are shown by two illustrative examples of emergent situations.