English

## Grey incidence model of B-mode based on panel data and its application

LUO Dang1 ZHANG Man-man1

(1.School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, Henan Province, China 450046)

【Abstract】With the basic idea of the grey incidence analysis of B-mode, aimed at the defects of the inconsistent incidence order due to the change of object sequence, or the distortion caused by not fully considering the change rate of means of different objects at the same time, the gray incidence model of B-mode based on panel data is constructed from two dimensions of time and object. In the time dimension, the horizontal incidence degree is obtained by introducing the overall displacement difference, the first-order slope difference, and the second-order slope difference between each index. In the object dimension, the longitudinal incidence degree is described by the ratio of each point and the mean of different objects at the same time. Then, the grey incidence model of B-mode based on panel data is constructed by calculating the weighted average of the two incidence degrees. The properties of Normality and multiple transformation isotonicity of the model are discussed. The example shows that the model is simple and effective, and is not affected by the order of objects. Finally, the drought risk index of five cities in North Henan Plain is used as the characteristic index sequence to clarify the relationship between the drought risk index and its 12 influencing factors, which provides a theoretical basis for the assessment and regulation drought risks.

【Keywords】 panel data; incidence analysis of B-mode; time dimension; object dimension; drought risk index;

【DOI】

【Funds】 National Natural Science Foundation of China (71271086, 51979106) Scientific and Technological Plan Project of Henan Province (182102310014) Key Research Project for Universities of Henan Province (18A630030); Quality Curriculum Construction Project of Postgraduate Education in Henan Province (HNYJS2015KC02)

References

[1] Li Y Y, Mei J S, Li J Q. Risk assessment and regulation ofdrought disaster [M]. Beijing: China Water Power Press, 2017: 130–159 (in Chinese).

[2] Lei H J, Pan HW,Wang X D, et al. Regional agricultural drought risk assessment and prediction [M]. Beijing: China Water Power Press, 2016: 40–99 (in Chinese).

[3] Jin J L, Yang Q Q, Zhou Y L, et al. Research progress on drought analysis technologies [J]. Journal of North China University of Water Resources and Electric Power: Natural Science Edition, 2016, 37 (2): 1–15 (in Chinese).

[4] Zhao J. Analysis of drought risk to climate change in the northern Henan province [D]. Changchun: College of Urban and Environmental Sciences Institute of Natural Disasters, Northeast Normal University, 2012: 19–24 (in Chinese).

[5] Liu S F, Yang Y J, Wu L F, et al. The grey system theory and application [M]. 7th ed. Beijing: SciencesPress, 2014: 63–112 (in Chinese).

[6] Liu S F, Yang Y J, Gao Y, et al. A summary on the research of GRA models [J]. Grey Systems: Theory & Applications, 2013, 3 (1): 7–15.

[7] Wang Q Y. The grey relational analysis of B-mode [J]. Journal of Huazhong University of Science and Technology, 1989, 17 (6): 77–82 (in Chinese).

[8] Wang Q Y, Zhao X H. The relational analysis of C-mode [J]. Journal of Huazhong University of Science and Technology, 1999, 27 (3): 75–77 (in Chinese).

[9] Tang W X. The concept and the computation method of T’s correlation degree [J]. Application of Statistics and Management, 1995, 14 (1): 33–37 (in Chinese).

[10] Zhao Y L, Wei S Y, Mei Z X. Grey euclid relation grade [J]. Journal of Guangxi University: Natural Science Edition, 1998, 23 (1): 10–13 (in Chinese).

[11] Wu L F, Wang Y N, Liu S F. Grey convex relation and its properties [J]. Systems Engineering—Theory & Practice, 2012, 32 (7): 1501–1505 (in Chinese).

[12] Xie N M, Liu S F. The parallel and uniform properties ofseveral relational models [J]. Systems Engineering, 2007, 25 (8): 98–103 (in Chinese).

[13] Cui J, Dang Y G, Liu S F. Novel properties of some grey relational analysis models [J]. Systems Engineering, 2009, 27 (4): 65–70 (in Chinese).

[14] Liu W J, Zhang J, Jin M Z, et al. Key indices of the remanufacturing industry in China using a combined method of grey incidence analysis and grey clustering [J]. Journal of Cleaner Production, 2017, 168 (1): 1348–1357.

[15] Yang K, Ding Y, Zhu N, et al. Multi-criteria integrated evaluation of distributed energy system for community energy planning based on improved grey incidence approach: A case study in Tianjin [J]. Applied Energy, 2018, 229 (1): 352–363.

[16] Sun G D, Guan X, Yi X, et al. Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition [J]. Expert Systems With Applications, 2018, 92 (1): 521–532.

[17] Luo D, Zhang M M. Grey correlation analysis of factors affecting drought risk under grey information [J]. Journal of North China University of Water Resources and Electric Power: Natural Science Edition, 2018, 39 (5): 82–87 (in Chinese).

[18] Wu H H, Mu Y, Qu Z F, et al. Similarity and nearness relational degree based on panel data [J]. Control and Decision, 2016, 31 (3): 555–558 (in Chinese).

[19] Liu Z, Dang Y G, Zhou W J, et al. New grey nearness incidence model and its extension [J]. Control and Decision, 2014, 29 (6): 1071–1075 (in Chinese).

[20] Zhang K, Liu S F. Extended clusters of grey incidences for panel data and its application [J]. Systems Engineering—Theory & Practice, 2010, 30 (7): 1253–1259 (in Chinese).

[21] Wu L F, Liu S F. Panel data clustering method based on grey convex relation and its application [J]. Control and Decision, 2013, 28 (7): 1033–1036 (in Chinese).

[22] Liu Z, Dang Y G, Qian W Y, et al. Grey grid incidence model based on panel data [J]. Systems Engineering —Theory & Practice, 2014, 34 (4): 991–996 (in Chinese).

[23] Luo D, Ye L L, Wei B L, et al. Grey matrix incidence model for panel data and its application in drought vulnerability risk [J]. Control and Decision, 2018, 33 (11): 2051–2056 (in Chinese).

[24] Luo D, Zhang H H. Grey incidence analysis method for regional drought vulnerability [J]. Journal of NorthChina University of Water Resources and Electric Power: Natural Science Edition, 2018, 39 (3): 61–67 (in Chinese).

ISSN:1001-0920

CN: 21-1124/TP

Vol 35, No. 06, Pages 1476-1482

June 2020

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