Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2022, Vol. 39 ›› Issue (3): 379-388.doi: 10.3969/j.issn.1005-3085.2022.03.003

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Optimization Model of Group Decision-making for Subjective Scoring Competition Ranking

GUO Dongwei1,   DING Genhong2   

  1. 1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466000 
    2. College of Science, Hohai University, Nanjing 211100
  • Online:2022-06-15 Published:2022-08-15
  • Supported by:
    The National Natural Science Foundation of China (61703447); the Humanity and Social Sciences Foundation of He'nan Provincial Department of Education (2020-ZZJH-566).

Abstract:

Through examining the characteristics of the judges' scoring and the group decision-making mechanism, it is found that in the incomplete scoring system, especially in the subjective scoring competition, there exists a large error in the ranking results of the traditional method or the T score method. In order to improve the scientificity of ranking, a mathematical model is established to distribute the papers evenly among the judges, and then the weight of each judge is determined by the minimum sum of the squares of ranges. Finally, the ranking is determined according to the weighted average value of each paper's scores. Simulation results show that, compared with the traditional and standard score methods, the new method can improve the coincidence of subjective and objective ranking and reduces the disorder degree. By calculating the Euclidean distance, it is proved that the new method can reduce the experts' scoring error and the resulting controversy.

Key words: group decision-making, sum of squares of ranges, systematic error, weight, subjective score

CLC Number: