Consistency Modification of Judgment Matrix Based on Genetic Algorithm in Analytic Hierarchy Process

Author

Sun, Xin ; Liu, Qiongxin ; Zhang, Lei

Author_Institution

Sch. of Comput. Sci. & Technol., Beijing Inst. of Technol., Beijing, China

fYear

2011

fDate

17-18 July 2011

Firstpage

1

Lastpage

4

Abstract

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.

Keywords

decision making; genetic algorithms; matrix algebra; nonlinear programming; AHP; analytic hierarchy process; genetic algorithm; judgment matrix consistency modification; multiattribute decision making approach; nonlinear programming model; subjective judgment; Decision making; Encoding; Genetic algorithms; Indexes; Programming; Simulated annealing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits, Communications and System (PACCS), 2011 Third Pacific-Asia Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4577-0855-8

Type

conf

DOI

10.1109/PACCS.2011.5990268

Filename

5990268