Research on the Optimal Aggregation Method of Judgment Matrices Based on Spatial Steiner-Weber Point

被引:0
作者
Wei Liu
Yuhong Wang
Lei Li
机构
[1] Jiangnan University,School of Internet of Things Engineering
[2] Henan University of Technology,School of Management
[3] Jiangnan University,School of Business
来源
Journal of Systems Science and Complexity | 2023年 / 36卷
关键词
Aggregation method; group decision making; judgment matrices; PGSA; spatial aggregation model; steiner-weber point;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is to provide a novel approach for the spatial aggregation of judgment matrices. The optimal aggregation method of judgment matrices based on spatial Steiner-Weber point can effectively aggregate the preference information of group members and achieve the optimization of group preference. The method comprises three key elements: The spatial mapping of the judgment matrices, the spatial optimal aggregation model of the judgment matrices, and the plant growth simulation algorithm (PGSA) is used to find the optimal aggregation points. Firstly, the judgment matrices are mapped into a set of spatial multidimensional coordinates by using spatial mapping rules. Secondly, the spatial Steiner-Weber point is used as the prototype to construct the spatial aggregation model. Thirdly, the PGSA algorithm is used to find the spatial aggregation points, whose spatial weighted Euclidean distance to all the decision makers preference points is minimal. The optimal aggregation matrix is composed of these optimal aggregation points, which can accurately reflect the decision maker’s comprehensive opinions. Finally, the effectiveness and rationality of this method are verified by comparing with the classical group preference aggregation methods.
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页码:1228 / 1249
页数:21
相关论文
共 115 条
[1]  
Ho W(2008)Integrated analytic hierarchy process and its applications — A literature review European Journal of Operational Research 186 211-228
[2]  
Yu L(2011)A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support Decision Support Systems 51 307-315
[3]  
Lai K K(2014)Multi-criteria group decision making under uncertainty with application to air traffic safety Expert Systems with Applications 41 7406-7414
[4]  
Skorupski J(2020)A review on complex system engineering Journal of Systems Science & Complexity 34 706-723
[5]  
Parrend P(2021)On the choice of weights for aggregating judgments in non-negotiable AHP group decision making European Journal of Operational Research 288 294-301
[6]  
Collet P(2007)Criteria for evaluating group decision-making methods Mathematical and Computer-Modelling 46 935-947
[7]  
Amenta P(1998)Aggregating individual judgments and priorities with the analytic hierarchy process European Journal of Operational Research 108 165-169
[8]  
Lucadamo A(1983)Procedures for synthesizing ratio judgements Journal of Mathematical Psychology 27 93-102
[9]  
Marcarelli G(1985)A note on the analysis of subjective judgment matrices Journal of Mathematical Psychology 29 387-405
[10]  
Peniwati K(1995)Cardinal welfare, individualistic ethics, and interpersonal compari — Sons of utility Journal of Political Economy 63 309-321