Two-stage prioritization procedure for multiplicative AHP-group decision making
In this paper, we propose two-stage prioritization procedure (TSPP) for multiplicative Analytic Hierarchy Process-group decision making (AHP-GDM), which involves determining the group priority vector based on the individual pair-wise comparison matrices (PCMs), simultaneously considering the consen...
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Vilnius Gediminas Technical University
2020-02-01
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doaj-41190b113fa44305ac88cfe8dc8e34092021-07-02T16:48:44ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212020-02-0126210.3846/tede.2020.12037Two-stage prioritization procedure for multiplicative AHP-group decision makingChangsheng Lin0Gang Kou1Yi Peng2Fawaz E. Alsaadi3School of Mathematics and Statistics, Yangtze Normal University, 408100 Chongqing, ChinaSchool of Business Administration, Southwestern University of Finance and Economics, 611130 Chengdu, ChinaSchool of Management and Economics, University of Electronic Science and Technology of China, No. 2006, Xiyuan Ave, West Hi-Tech Zone, 611731 Chengdu, ChinaDepartment of information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia In this paper, we propose two-stage prioritization procedure (TSPP) for multiplicative Analytic Hierarchy Process-group decision making (AHP-GDM), which involves determining the group priority vector based on the individual pair-wise comparison matrices (PCMs), simultaneously considering the consensus and consistency of the individual PCMs. The first stage of the TSPP involves checking and revising the individual PCMs for reaching the acceptable consensus and consistency. The second stage of the TSPP involves estimating the group priority vector using Bayesian approach. The main characteristics of the proposed TSPP are as follows: 1) It makes full use of the prior information as well as the sample information during the Bayesian revision of the individual PCMs and the Bayesian estimation of the group priority vector; 2) It ensures that the revised individual PCMs reach the acceptable consensus and consistency; 3) It enriches the aggregation methods for the collective preference in multiplicative AHP-GDM. Finally, two numerical examples are used to evaluate the applicability and effectiveness of the proposed TSPP by the comparisons with several other methods. https://journals.vgtu.lt/index.php/TEDE/article/view/12037group decision makingpair-wise comparison matrixconsensusconsistencygroup priority vector |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Changsheng Lin Gang Kou Yi Peng Fawaz E. Alsaadi |
spellingShingle |
Changsheng Lin Gang Kou Yi Peng Fawaz E. Alsaadi Two-stage prioritization procedure for multiplicative AHP-group decision making Technological and Economic Development of Economy group decision making pair-wise comparison matrix consensus consistency group priority vector |
author_facet |
Changsheng Lin Gang Kou Yi Peng Fawaz E. Alsaadi |
author_sort |
Changsheng Lin |
title |
Two-stage prioritization procedure for multiplicative AHP-group decision making |
title_short |
Two-stage prioritization procedure for multiplicative AHP-group decision making |
title_full |
Two-stage prioritization procedure for multiplicative AHP-group decision making |
title_fullStr |
Two-stage prioritization procedure for multiplicative AHP-group decision making |
title_full_unstemmed |
Two-stage prioritization procedure for multiplicative AHP-group decision making |
title_sort |
two-stage prioritization procedure for multiplicative ahp-group decision making |
publisher |
Vilnius Gediminas Technical University |
series |
Technological and Economic Development of Economy |
issn |
2029-4913 2029-4921 |
publishDate |
2020-02-01 |
description |
In this paper, we propose two-stage prioritization procedure (TSPP) for multiplicative Analytic Hierarchy Process-group decision making (AHP-GDM), which involves determining the group priority vector based on the individual pair-wise comparison matrices (PCMs), simultaneously considering the consensus and consistency of the individual PCMs. The first stage of the TSPP involves checking and revising the individual PCMs for reaching the acceptable consensus and consistency. The second stage of the TSPP involves estimating the group priority vector using Bayesian approach. The main characteristics of the proposed TSPP are as follows: 1) It makes full use of the prior information as well as the sample information during the Bayesian revision of the individual PCMs and the Bayesian estimation of the group priority vector; 2) It ensures that the revised individual PCMs reach the acceptable consensus and consistency; 3) It enriches the aggregation methods for the collective preference in multiplicative AHP-GDM. Finally, two numerical examples are used to evaluate the applicability and effectiveness of the proposed TSPP by the comparisons with several other methods.
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topic |
group decision making pair-wise comparison matrix consensus consistency group priority vector |
url |
https://journals.vgtu.lt/index.php/TEDE/article/view/12037 |
work_keys_str_mv |
AT changshenglin twostageprioritizationprocedureformultiplicativeahpgroupdecisionmaking AT gangkou twostageprioritizationprocedureformultiplicativeahpgroupdecisionmaking AT yipeng twostageprioritizationprocedureformultiplicativeahpgroupdecisionmaking AT fawazealsaadi twostageprioritizationprocedureformultiplicativeahpgroupdecisionmaking |
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1721326103830724608 |