Abstract
Regarding bankruptcy prediction as a kind of grey system problem, this study aims to develop multivariate grey prediction models based on the most representative GM(1, N) for bankruptcy prediction. There are several distinctive features of the proposed grey prediction model. First, to improve the prediction performance of the GM(1, N), grey relational analysis is used to sift relevant features that have the strongest relationship with the class feature. Next, the proposed model effectively extends the multivariate grey prediction model for time series to bankruptcy prediction irrespective of time series. It turns out that the proposed model uses the genetic algorithms to avoid indexing by time and using the ordinary least squares with statistical assumptions for the traditional GM(1, N). The empirical results obtained from the financial data of Taiwanese firms in the information and technology industry demonstrated that the proposed prediction model performs well compared with other GM(1, N) variants considered.
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Abualigah LMQ (2019) Feature selection and enhanced Krill Herd algorithm for text document clustering. Springer, Berlin
Abualigah LMQ, Hanandeh ES (2015) Applying genetic algorithms to information retrieval using vector space model. Int J Comput Sci Eng Appl 5(1):19–28
Abualigah LMQ, Khader AT (2017) Unsupervised text feature selection technique based on hybrid particle swarm optimization algorithm with genetic operators for the text clustering. J Supercomput 73(11):4773–4795
Abualigah LMQ, Khader AT, Hanandeh ES (2017) A new feature selection method to improve the document clustering using particle swarm optimization algorithm. J Comput Sci 25:456–466
Abualigah LMQ, Khader AT, Hanandeh ES (2018a) Hybrid clustering analysis using improved krill herd algorithm. Appl Intell 48(11):4047–4071
Abualigah LMQ, Khader AT, Hanandeh ES (2018b) A combination of objective functions and hybrid krill herd algorithm for text document clustering analysis. Eng Appl Artif Intell 73:111–125
Ali SH (2012) Miner for OACCR: case of medical data analysis in knowledge discovery. In: 2012 6th international conference on sciences of electronics, technologies of information and telecommunications, Sousse, Tunisia, 2012, pp 962–975
Al-Janabi S (2017) Pragmatic miner to risk analysis for intrusion detection (PMRA-ID). In: Mohamed A, Berry M, Yap B (eds) Soft computing in data science. Springer, Singapore, pp 263–277
Al-Janabi S (2018) Smart system to create an optimal higher education environment using IDA and IOTs. Int J Comput Appl. https://doi.org/10.1080/1206212x.2018.1512460
Al-Janabi S, Abaid Mahdi M (2019) Evaluation prediction techniques to achievement an optimal biomedical analysis. Int J Grid Util Comput (forthcoming)
Al-Janabi S, Alkaim AF (2019) A nifty collaborative analysis to predicting a novel tool (DRFLLS) for missing values estimation. Soft Comput. https://doi.org/10.1007/s00500-019-03972-x
Al-Janabi S, Razaq F (2019) Intelligent big data analysis to design smart predictor for customer churn in telecommunication industry. In: Farhaoui Y, Moussaid L (eds) Big data and smart digital environment. Springer, Cham, pp 246–272
Al-Janabi S, Al_Shourbaji I, Salman MA (2018) Assessing the suitability of soft computing approaches for forest fires prediction. Appl Comput Inform 14(2):214–224
Bean J (1994) Genetic algorithms and random keys for sequencing and optimization. ORSA J Comput 6(2):154–160
Deng JL (1982) Control problems of grey systems. Syst Control Lett 1(5):288–294
Doumpos M, Zopounidis C (2004) Multicriteria decision aid classification methods. Kluwer, Dordrecht
Friedman M (1940) A comparison of alternative tests of significance for the problem of m rankings. Ann Math Stat 11:86–92
Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading
Guo M, Lan J, Lin Z, Sun X (2012) Traffic flow data recovery algorithm based on gray residual GM(1,N) model. J Transp Syst Eng Inf Technol 12(1):42–47
Guo XJ, Liu SF, Wu LF, Gao YB, Yang YJ (2015) A multi-variable grey model with a self-memory component and its application on engineering prediction. Eng Appl Artif Intell 42:82–93
Hsu LC (2009) Forecasting the output of integrated circuit industry using genetic algorithm based multivariable grey optimization models. Expert Syst Appl 36(2):7898–7903
Hsu LC, Wang CH (2009) Forecasting integrated circuit output using multivariate grey model and grey relational analysis. Expert Syst Appl 36(2):1403–1409
Hu YC, Chen CJ (2011) A PROMETHEE-based classification method using concordance and discordance relations and its application to bankruptcy prediction. Inf Sci 181(22):4959–4968
Hu YC, Chen RS, Hsu YT, Tzeng GH (2002) Grey self-organizing feature maps. Neurocomputing 48(1):863–877
Hu YC, Chiu YJ, Tsai JF (2018) Establishing grey criteria similarity measures for multi-criteria recommender systems. J Grey Syst 30(1):192–205
Hu YC, Jiang P, Lee PC (2019) Forecasting tourism demand by incorporating neural networks into Grey-Markov models. J Oper Res Soc 70(1):12–20
Iman RL, Davenport JM (1980) Approximations of the critical region of the Friedman statistic. Commun Stat 9(6):571–595
Ishibuchi H, Nakashima T, Nii M (2004) Classification and modeling with linguistic information granules: advanced approaches to linguistic data mining. Springer, Heidelberg
Jiang P, Hu YC, Yen GF, Tsao SJ (2018) Green supplier selection for sustainable development of the automotive industry using grey decision making. Sustain Dev 26:890–903
Kung LM, Yu SW (2008) Prediction of index futures returns and the analysis of financial spillovers-a comparison between GARCH and the grey theorem. Eur J Oper Res 186(3):1184–1200
Liu S, Lin Y (2010) Grey information: theory and practical applications. Springer, Berlin
Liu H, Motoda H (2008) Computational methods of feature selection. Chapman & Hall/CRC, New York
Liu S, Yang Y, Forrest J (2017) Grey data analysis: methods. Models and Applications, Springer, Berlin
Oliveira MDNT, Ferreira FAF, Pérez-Bustamante Ilander GO, Jalali MS (2017) Integrating cognitive mapping and MCDA for bankruptcy prediction in small- and medium-sized enterprises. J Oper Res Soc. https://doi.org/10.1057/s41274-016-0166-3
Osyczka A (2003) Evolutionary algorithms for single and multicriteria design optimization. Physica-Verlag, New York
Patel A, Al-Janabi S, AlShourbaji I, Pedersen J (2015) A novel methodology towards a trusted environment in mashup web applications. Comput Secur 49:107–122
Pei LL, Chen WM, Bai JH, Wang ZX (2015) The improved GM(1,N) models with optimal background values: a case study of Chinese high-tech industry. J Grey Syst 27(3):223–233
Tien TL (2005) The indirect measurement of tensile strength of material by the grey prediction model GMC(1, n). Meas Sci Technol 16:1322–1328
Tien TL (2012) A research on the grey prediction model GM(1, n). Appl Math Comput 218(9):4903–4916
Wang ZX (2014) A GM(1, N)-based economic cybernetics model for the high-tech industries in China. Kybernetes 43(5):672–685
Wang ZX, Hao P (2016) An improved grey multivariable model for predicting industrial energy consumption in China. Appl Math Model 40(11–12):5745–5758
Wang WB, Hu YC (2019) Multivariate grey prediction models for pattern classification irrespective of time series. J Grey Syst 31:135–142
Wang ZX, Ye DJ (2017) Forecasting Chinese carbon emissions from fossil energy consumption using non-linear grey multivariable models. J Clean Prod 142:600–612
Weiss SM, Kulikowski CA (1991) Computer systems that learn: classification and prediction methods from statistics, neural nets, machine learning, and expert systems. Morgan Kaufmann, San Mateo
Wu LF, Liu SF, Liu DL, Fang ZG, Xu HY (2015) Modelling and forecasting CO2 emissions in the BRICS (Brazil, Russia, India, China, and South Africa) countries using a novel multi-variable grey model. Energy 79:489–495
Yang YN (2010) Financial econometric with gretl. Compass Publishing, Taipei, Taiwan
Zeng B, Luo CM, Liu SF, Bai Y, Li C (2016a) Development of an optimization method for the GM(1, N) model. Eng Appl Artif Intell 55:353–362
Zeng B, Luo CM, Liu SF, Li C (2016b) A novel multi-variable grey forecasting model and its application in forecasting the amount of motor vehicles in Beijing. Comput Ind Eng 101:479–489
Acknowledgements
The author would like to thank the anonymous referees for their valuable comments. This research is supported by the Ministry of Science and Technology, Taiwan, under grant MOST 106-2410-H-033-006-MY2.
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Hu, YC. A multivariate grey prediction model with grey relational analysis for bankruptcy prediction problems. Soft Comput 24, 4259–4268 (2020). https://doi.org/10.1007/s00500-019-04191-0
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DOI: https://doi.org/10.1007/s00500-019-04191-0