Keywords
Decision-making basis fusion
Dispersion maximization
Spearman correlation rank coefficient
Submitted : 2022-03-29
Accepted : 2022-04-13
Published : 2022-04-28
Abstract
Aiming at the problem that the decision-making basis of heterogeneous information cannot be effectively integrated, this paper proposes a decision-making basis integration of heterogeneous information based on evaluation results. Firstly, the idea of maximizing the total deviation between the evaluation values of the evaluation objects by multiple single evaluation methods is used to construct the decision-making method fusion model based on the deviation maximization method. The decision-making basis fusion results of each evaluation object are calculated and sorted. Secondly, Spearman correlation coefficient is adopted to analyze the stability of the fused evaluation value. Finally, by combining the analysis in this study with a comparative analysis from previous paper, the results showed the scientific validity and effectiveness of the fusion method.
References
Zhang F, Liu Z, 2017, A Review of Combinatorial Evaluation Methods. Chinese Journal of Systems Engineering, 32(04): 557-569.
Zhang F, 2018, Combinatorial Evaluation Methods and Applications, Science Press, Beijing.
Chen GH, Chen YT, Li MJ, 2003, A Comprehensive Study of Combined Evaluation Systems. Journal of Fudan (Natural Science Edition), 2003(05): 667-672.
Guo X, 1995, A New Comprehensive Evaluation Method – Portfolio Evaluation Method. Statistical Research, 1995(05): 56-69.
Li Z, Ma X, Peng Z, 2013, Research on Portfolio Evaluation Method Based on Dispersion Maximization. China Management Science, 21(01): 174-179.
Guo Y, Ma Z, Zhang F, 2009, Analysis and Application of Relative Validity of Portfolio Evaluation Methods. China Management Science, 17(02): 125-130.
Li M, Chen G, Xu L, 2015, Research on Dynamic Portfolio Evaluation Method Based on Drift Degree. China Management Science, 23(01): 141-145.
Fan D, Song Z, 2019, Research on the Objective Portfolio Evaluation Method Based on Gini Criterion – To Evaluate the Technological Innovation Capability of High Technology Industry as an Example. Operations Research and Management, 28(03): 148-157.
Wang H-L, Li J, 2021, Combinatorial Evaluation Method Based on Tied Ranking and Its Robustness Analysis. Operations Research and Management, 30(10): 71-79.
Meng B, Zhou L, Luo J, 2020, A Study on the Evaluation of Corporate Social Responsibility Portfolio in Transportation Industry by Integrating the Dual Constraints of Difference Similarity. Systems Engineering Theory and Practice, 40(12): 3243-3258.
Zhang F, Wang Z, Xie X, 2020, A Regional Sustainable Development Portfolio Evaluation Model Based on CW Operator and Its Application. Ecological Economics, 36(10): 70-77.
Su H, Jiang Z, Wu H, 2020, Research on the Combined Evaluation Model of Surrounding Rock Stability Based on the Set-Pair Contact Number. Highway Engineering, 45(01): 18-22, 36.
Xia C-H, Wang W, Ma D-H, et al., 2019, Dual Portfolio Evaluation Method for Urban Integrated Disaster Risk. Chinese Journal of Safety Science, 29(07): 156-163.
Zhang F, Li A, Han Y, 2019, Research on Credit Evaluation of Small and Micro Enterprises Based on Improved Dynamic Portfolio Evaluation Method. Journal of Management, 16(02): 286-296.
Jia X, Guo Y, Huang Y, 2019, Pepper Noise Detection Algorithm for Color Images Based on Spearman Rank Correlation. Journal of the University of Science and Technology of China, 49(01): 63-70.
Wang C, 1997, Proof of the Formula for Computing the Spearman Coefficient. Journal of Yan’an University (Natural Science Edition), 1997(01): 73-75.
Shen C, Dang Y, Pei L, 2010, Research on Hybrid Multi-Indicator Gray Target Decision Model. Statistics and Decision Making, 2010(12): 17-20.
Ma J, Ji C, 2014, Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number. Journal of Applied Mathematics, 2014: 1-8.
Ma J, 2019, Generalized Grey Target Decision Method with Index and Weight Both Containing Mixed Attribute Values Based on Improved Gini-Simpson Index. Statistics & Information Forum, 34(2): 28-34.
Ma J, Ma XL, Yue JM, et al., 2020, Kullback-Leibler Distance Based Generalized Grey Target Decision Method with Index and Weight Both Containing Mixed Attribute Values. IEEE Access, 8: 162847-162854.
Kullbac S, Leibler RA, 1951, On Information and Sufficiency. The Annals of Mathematical Statistics, 1(22): 79-86.