Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process

Xin Su; Qiongxin Liu; Lei Zhang

doi:10.1109/PACCS.2011.5990268

Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process

Xin Su^*, Qiongxin Liu, Lei Zhang

^*Corresponding author for this work

School of Computer Science and Technology

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings - PACCS 2011
Subtitle of host publication	2011 3rd Pacific-Asia Conference on Circuits, Communications and System
DOIs	https://doi.org/10.1109/PACCS.2011.5990268
Publication status	Published - 2011
Event	2011 3rd Pacific-Asia Conference on Circuits, Communications and System, PACCS 2011 - Wuhan, China Duration: 17 Jul 2011 → 18 Jul 2011

Publication series

Name	Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System

Conference

Conference	2011 3rd Pacific-Asia Conference on Circuits, Communications and System, PACCS 2011
Country/Territory	China
City	Wuhan
Period	17/07/11 → 18/07/11

Keywords

Analytic hierarchy process
Consistency modification
Genetic algorithm
Judgment matrix

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10.1109/PACCS.2011.5990268

Cite this

Su, X., Liu, Q., & Zhang, L. (2011). Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process. In Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System Article 5990268 (Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System). https://doi.org/10.1109/PACCS.2011.5990268

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title = "Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process",

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 = "Analytic hierarchy process, Consistency modification, Genetic algorithm, Judgment matrix",

author = "Xin Su and Qiongxin Liu and Lei Zhang",

year = "2011",

doi = "10.1109/PACCS.2011.5990268",

language = "English",

isbn = "9781457708565",

series = "Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System",

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Su, X, Liu, Q & Zhang, L 2011, Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process. in Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System., 5990268, Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System, 2011 3rd Pacific-Asia Conference on Circuits, Communications and System, PACCS 2011, Wuhan, China, 17/07/11. https://doi.org/10.1109/PACCS.2011.5990268

Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process. / Su, Xin; Liu, Qiongxin ; Zhang, Lei.
Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System. 2011. 5990268 (Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Liu, Qiongxin

AU - Zhang, Lei

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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

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DO - 10.1109/PACCS.2011.5990268

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SN - 9781457708565

T3 - Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System

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Y2 - 17 July 2011 through 18 July 2011

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Su X, Liu Q , Zhang L. Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process. In Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System. 2011. 5990268. (Proceedings - PACCS 2011: 2011 3rd Pacific-Asia Conference on Circuits, Communications and System). doi: 10.1109/PACCS.2011.5990268

Consistency modification of judgment matrix based on genetic algorithm in analytic hierarchy process

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