Title
A nonlinear program model to obtain consensus priority vector in the analytic hierarchy process
Abstract
In group decision making, because the decision-makers usually represent different interest backgrounds, it is worth to study how to make the different decision makers coordinate and cooperate for aggregating group opinions. In this paper, based on the analytic hierarchy process, we propose a nonlinear program model to obtain consensus priority vector, and point that the model can make decision-makers reach consensus by improving compatibility of judgement matrices. Moreover, we use the genetic-simulated annealing algorithm to obtain its optimal solution. Finally, a numerical example is presented to illustrate the application of this method.
Year
DOI
Venue
2008
10.1109/CEC.2008.4630884
IEEE Congress on Evolutionary Computation
Keywords
Field
DocType
genetic-simulated annealing algorithm,decision making,nonlinear programming,judgement matrices compatibility,consensus priority vector,genetic algorithms,group decision making,simulated annealing,analytic hierarchy process,nonlinear program model,genetics,helium,indexes,annealing,decision maker,gallium,simulated annealing algorithm,arithmetic
Simulated annealing,Mathematical optimization,Computer science,Matrix (mathematics),Nonlinear programming,Judgement,Analytic network process,Artificial intelligence,Machine learning,Genetic algorithm,Analytic hierarchy process,Group decision-making
Conference
ISBN
Citations 
PageRank 
978-1-4244-1823-7
0
0.34
References 
Authors
5
4
Name
Order
Citations
PageRank
Wei-Jun Xu115414.56
Yucheng Dong2283199.15
Weilin Xiao3685.19
Jin-hong Xu4112.70