TY - GEN
T1 - Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process
AU - Su, Xin
AU - Liu, Qiongxin
AU - Zhang, Lei
PY - 2011
Y1 - 2011
N2 - Analytic hierarchy process is very extensive in decision-making of many objects and widely used in many fields as a classical multi attribute decision-making approach. But its judgment matrix is constructed only by decision-maker subjective judgment. Judgment matrix consistency is the core problem in the AHP. In this paper, a nonlinear programming model is proposed for improving the consistency of the judgment matrix. Then a genetic algorithm is designed to solve the nonlinear programming model to determine matrix consistency adjustments. The improved analytic hierarchy process is more objective, more logical and more compact.
AB - Analytic hierarchy process is very extensive in decision-making of many objects and widely used in many fields as a classical multi attribute decision-making approach. But its judgment matrix is constructed only by decision-maker subjective judgment. Judgment matrix consistency is the core problem in the AHP. In this paper, a nonlinear programming model is proposed for improving the consistency of the judgment matrix. Then a genetic algorithm is designed to solve the nonlinear programming model to determine matrix consistency adjustments. The improved analytic hierarchy process is more objective, more logical and more compact.
KW - Analytic hierarchy process
KW - Consistency modification
KW - Genetic algorithm
KW - Judgment matrix
UR - http://www.scopus.com/inward/record.url?scp=80052830337&partnerID=8YFLogxK
U2 - 10.1109/PACCS.2011.5990268
DO - 10.1109/PACCS.2011.5990268
M3 - Conference contribution
AN - SCOPUS:80052830337
SN - 9781457708565
T3 - Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System
BT - Proceedings - PACCS 2011
T2 - 2011 3rd Pacific-Asia Conference on Circuits, Communications and System, PACCS 2011
Y2 - 17 July 2011 through 18 July 2011
ER -