Grey Relational Analysis Method for Group Decision Making in Credit Risk Analysis
Wenshuai Wu 1  
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School of Management, Guangzhou University, Panyu District, Guangzhou, Guangdong, CHINA
Online publish date: 2017-11-21
Publish date: 2017-11-21
EURASIA J. Math., Sci Tech. Ed 2017;13(12):7913–7920
This article belongs to the special issue "Problems of Application Analysis in Knowledge Management and Science-Mathematics-Education".
In general, group decision making (GDM) under a multiple criteria environment involves multi-criteria, multi-stakeholders and a finite number of alternatives, which can be interpreted as a multi-criteria group decision making. In this paper, a multi-criteria group decision making model, based on grey relational analysis, is proposed for credit risk analysis. This model can not only deal with the problems involved multi-criteria, multi-stakeholders and a finite number of alternatives, but also reduce individual subjective preference to improve the level of overall satisfaction. In this model, firstly, TOPSIS method is applied for credit risk analysis on four public-listed companies, and the attribute weights are determined by AHP. Then, experts’ opinion is integrated on the basis of post-expert information. Finally, grey relational analysis (GRA) method is introduced to gather different experts’ opinion to extend the aggregation method for GDM. The empirical results demonstrate and verify that our proposed model for credit risk analysis is feasible and effective, which can be used to support credit risk management and guide business strategy adjustments.
Altman, E. I. (1968). Financial ratios, discriminant analysis and the prediction of corporate bankruptcy. The Journal of Finance, 23(4), 589-609.
Ballı, S., & Korukoğlu, S. (2009). Operating system selection using fuzzy AHP and TOPSIS methods. Mathematical & Computational Applications, 14(2), 119-130.
Chang, T., & Wang, H. (2016). A Multi Criteria Group Decision-making Model for Teacher Evaluation in Higher Education Based on Cloud Model and Decision Tree. Eurasia Journal of Mathematics, Science & Technology Education, 12(5).
Chen, S. J., & Hwang, C. L. (1992). Fuzzy Multiple Attribute Decision Making: Methods and Applications. Springer-Verlag, Berlin.
Deng, J. (1982). Control problems of grey systems. Systems and Control Letters, 1(5), 288-294.
Deng, J. (1988). Grey System Book. Science and Technology Information Services: Windsor.
Escobar, M. T., Morenojiménez, J. M. (2007). Aggregation of individual preference structures in AHP-group decision making. Group Decision and Negotiation, 16(4), 287-301.
Hamzaçebi, C., & Pekkaya, M. (2011). Determining of stock investments with grey relational analysis. Expert Systems with Applications, 38(8), 9186-9195.
Hsueh, S. L., & Kuo, C. H. (2016). Factors in an interdisciplinary curriculum for the students of industrial design designing multifunctional products. Eurasia Journal of Mathematics, Science & Technology Education, 12(4), 1075-1089.
Hwang, C. L., & Lin, M. J. (1987). Group decision making under multiple criteria: methods and applications. Berlin: Springer-Verlag.
Hwang, C. L., & Yoon, K. (1981). Multiple attribute decision making. Berlin: Springer-Verlag.
Ishizaka, A., & Labib, A. (2011). Review of the main developments in the analytic hierarchy process. Expert System with Application, 38(11), 14336-14345.
Jarrow, R. A., Lando, D., & Turnbull, S. M. (1997). A markov model for the term structure of credit risk spreads. The Review of Financial Studies, 10(2), 481-523.
Kou, G., & Wu, W. (2014). AHM: Identifying robust learning algorithms for enhancing mining efficiency in credit risk analysis. Mathematical Problems in Engineering, (11-12), 1-7.
Kou, G., & Wu, W. (2014). Multi-criteria decision analysis for emergency medical service assessment. Annals of Operations Research, 223(1), 239-254.
Levary, R. R., & Wan, K. (1998). A simulation approach for handling uncertainty in the analytic hierarchy process. European Journal of Operations Research, 106, 116–22.
Liu, D. R., & Shih, Y. Y. (2005). Integrating AHP and data mining for product recommendation based on customer lifetime value. Information and Management, 42, 387-400.
Lu, J. C., & Wu, J. P. (2010). Credit Risks Appraisal of Listed Company Based on GRA. The 2nd IEEE International Conference on Information Management and Engineering (ICIME), Chengdu, China, 710-713.
Moreno-Jiménez, J. M., Aguarón, J., & Escobar, M. T. (2008). The core of consistency in AHP-Group Decision Making. Group Decision and Negotiation, 17(3), 249-265.
Opricovic, S., & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445-455.
Peng, Y., Kou, G., Shi, Y., & Chen, Z. (2008). A Descriptive Framework for the Field of Data Mining and Knowledge Discovery. International Journal of Information Technology & Decision Making, 7, 639-682.
Peng, Y., Kou, G., Wang, G., Wu, W., & Shi, Y. (2011). Ensemble of software defect predictors: an AHP-based evaluation method. International Journal of Information Technology & Decision Making, 10(1), 187-206.
Saaty, T. L. (1980). The analytical hierarchy process. McGraw-Hill, New York.
Steuer, R. E., & Na, P. (2003). Multiple criteria decision making combined with finance: A categorized bibliographic study. European Journal of Operational Research, 150(3), 496-515.
Tiryaki, F., & Ahlatcioglu, B. (2009). Fuzzy portfolio selection using fuzzy analytic hierarchy process. Information Sciences, 179(1-2), 53-69.
Winkler, R. L. (1990). Decision Modelling and Rational Choice: AHP and Utility Theory. Management Science, 36(3), 247-248.
Wu, D. S., & Olson, D. L. (2006). A TOPSIS data mining demonstration and application to credit scoring. International Journal of Data Warehousing and Mining, 2(3), 1-10.
Wu, W., & Kou, G. (2016). A group consensus model for evaluating real estate investment alternatives. Financial Innovation, 2(1), 1-10.
Wu, W., & Peng, Y. (2016). Extension of grey relational analysis for facilitating group consensus to oil spill emergency management. Annals of Operations Research, 238(1), 615-635.
Wu, W., Kou, G., & Peng, Y. (2016). Group decision-making using improved multi-criteria decision making methods for credit risk analysis. Filomat, 30(13), 4135-4150.
Wu, W., Kou, G., Peng, Y., & Ergu, D. (2012). Improved AHP-group decision-making for investment strategy selection. Technological and Economic Development of Economy, 18(2), 299-316.
Xia, M., & Chen, J. (2015). Multi-criteria group decision making based on bilateral agreements. European Journal of Operational Research, 240(3), 756-764.
Xu, G., Tian, W., Qian, L., & Zhang, X. (2007). A novel conflict reassignment method based on grey relational analysis. Pattern Recognition Letters, 28(15), 2080-2087.
Yang, J., & Zhou, Y. (2013). Credit risk spillovers among financial institutions around the global credit crisis: firm-level evidence. Management Science, 59(10), 2343-2359.
Zhang, X., & Xu, Z. (2014). Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets. International Journal of Intelligent Systems, 29(12), 1061-1078.