An optimal aggregation method for interval grey numbers using on Steiner-Weber point with application
Computers and Industrial Engineering
; 179, 2023.
Article
in English
| Scopus | ID: covidwho-2298995
ABSTRACT
Aiming at the problem of low accuracy of two-dimensional preference information aggregation, this paper takes two-dimensional interval grey numbers as an example to define its preference information mapping rules. This rule maps preference information to preference points on a two-dimensional plane. Based on the theory of plane Steiner-Weber point, we construct a two-dimensional optimal model, and prove the optimality of the model theoretically. Then, adopt plant growth simulation algorithm (PGSA) to solve the proposed model. The obtained optimal aggregation point that can represent the comprehensive opinions. Finally, by analyzing the selection problem of Fangcang shelter hospital and comparing it with the particle swarm optimization (PSO) method, we conclude that the sum of weighted Euclidean distance obtained by our method is minimal. The aggregation precision of our method is higher than that of other aggregation method to a certain extent. © 2023 Elsevier Ltd
Corona Virus Disease 2019 (COVID-19); Fangcang shelter hospital; Interval grey number; Optimal aggregation method; Steiner-Weber point; Particle swarm optimization (PSO); Viruses; Corona virus disease 2019; Information aggregation; Optimal aggregation methods; Preference information; Steiner; Two-dimensional; Virus disease; Hospitals
Full text:
Available
Collection:
Databases of international organizations
Database:
Scopus
Language:
English
Journal:
Computers and Industrial Engineering
Year:
2023
Document Type:
Article
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