Economic benefit evaluation of coal mine safety input based on Choquet fuzzy integral

doi:10.16265/j.cnki.issn1003-3033.2024.02.0577

Abstract

Abstract:

In order to improve the economic benefits of coal mining enterprises and reasonable arrangement of various safety inputs, a model to solve the correlation between indicators was constructed. Firstly, the influencing factors of economic benefits based on safety investment were analyzed, and a set of scientific and reasonable structural index systems was constructed on this basis. Secondly, the entropy weight method was used to determine the weight of each index. Then, in view of the correlation between indicators, based on the safety input structure, the entropy weight-Choquet fuzzy integral model based on a 2-additive fuzzy measure was introduced to calculate the economic benefit evaluation value. Finally, a coal mine was selected for empirical analysis to verify the feasibility and effectiveness of the constructed model. The results show that the constructed model is more reliable than technique for order preference by similarity to an ideal solution(TOPSIS) method. This model can take into account the mutual influence and correlation between indicators and obtain more accurate and scientific evaluation results.

Key words: choquet fuzzy integral, coal mine, safety input, economic benefits, 2-additive fuzzy measure

CLC Number:

X915.4安全经济学

JIANG Fuchuan, JIN Fengchun, ZHANG Xiaoxiao, YANG Hao, WANG HAO, SHENG Bingwang. Economic benefit evaluation of coal mine safety input based on Choquet fuzzy integral[J]. China Safety Science Journal, 2024, 34(2): 76-82.

Figures/Tables 9

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项目	模糊等级	打分标准
重复性	极强	-0.90
	非常强	-0.70
	强	-0.50
独立性	较强	-0.30
	独立	0.00
	较强	0.30
互补性	强	0.50
	非常强	0.70
	极强	0.90

指标	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
x₁/万元	1 530.42	1 610.96	1 770.29	3 218.70	4 951.85	6 602.47	7 767.61	6 214.09	3 403.90	3 169.55	3 328.03
x₂/万元	50.01	52.64	57.85	74.17	95.09	121.91	156.30	127.05	97.80	109.70	115.19
x₃/万元	660.94	695.72	764.53	745.85	783.22	708.48	857.96	558.99	260.02	311.20	326.76
x₄/万元	304.17	320.18	351.85	370.37	389.86	410.38	431.98	411.41	467.51	531.26	557.82
x₅/万元	1 096.53	1 154.24	1 268.40	1 441.36	1 637.91	1 861.26	2 115.07	1 823.34	2 025.93	2 127.23	2 233.59
x₆/万元	84.33	86.05	86.92	93.47	100.50	108.07	116.20	105.32	100.53	108.51	113.94
x₇/万元	214.16	225.43	247.73	260.77	283.44	314.94	316.84	320.04	313.76	307.61	322.91
x₈/万t	67.41	70.95	77.97	74.97	83.71	150.51	163.36	172.16	157.05	151.56	161.03

年份	x₁	x₂	x₃	x₄	x₅	x₆	x₇	x₈
2009	0.00 0	0.000 0	0.670 5	0.000 0	0.000 0	0.000 0	0.000 0	0.000 0
2010	0.012 9	0.024 7	0.728 7	0.063 1	0.050 8	0.054 0	0.033 8	0.896 4
2011	0.038 5	0.073 8	0.843 7	0.188 0	0.151 2	0.081 3	0.100 8	0.691 3
2012	0.270 7	0.227 3	0.812 5	0.261 0	0.303 3	0.286 8	0.072 2	0.571 4
2013	0.548 6	0.424 1	0.875 0	0.337 8	0.476 1	0.507 4	0.155 6	0.362 9
2014	0.813 2	0.676 5	0.750 0	0.418 7	0.672 6	0.744 9	0.793 3	0.073 3
2015	1.000 0	1.000 0	1.000 0	0.503 9	0.895 8	1.000 0	0.916 0	0.055 8
2016	0.750 9	0.724 8	0.500 0	0.422 8	0.639 2	0.658 6	1.000 0	0.026 4
2017	0.300 4	0.449 6	0.000 0	0.644 0	0.817 4	0.508 3	0.855 8	0.084 1
2018	0.262 8	0.561 6	0.085 6	0.895 3	0.906 5	0.758 7	0.803 3	0.140 7
2019	0.288 2	0.613 2	0.111 6	1.000 0	1.000 0	0.929 1	0.893 7	0.000 0

交互指标	交互关系	交互度	交互指标	交互关系	交互度	交互指标	交互关系	交互度	交互指标	交互关系	交互度
{A,B}	互补	0.2	{B,C}	互补	0.1	{C,E}	互补	0.2	{D,H}	互补	0.4
{A,C}	互补	0.1	{B,D}	互补	0.1	{C,F}	互补	0.1	{E,F}	互补	0.1
{A,D}	互补	0.4	{B,E}	互补	0.2	{C,G}	重复	-0.4	{E,G}	重复	-0.4
{A,E}	互补	0.1	{B,F}	互补	0.1	{C,H}	互补	0.4	{E,H}	互补	0.4
{A,F}	互补	0.1	{B,G}	重复	-0.4	{D,E}	互补	0.2	{F,G}	重复	-0.4
{A,G}	重复	-0.4	{B,H}	互补	0.4	{D,F}	互补	0.1	{F,H}	互补	0.4
{A,H}	互补	0.4	{C,D}	互补	0.2	{D,G}	重复	-0.4	{G,H}	重复	-0.5

系数	数值	系数	数值	系数	数值	系数	数值	系数	数值
m_A	0.144 9	m_AB	0.003 3	m_BD	0.001 2	m_CG	-0.006 8	m_EH	0.005 9
m_B	0.115 3	m_AC	0.001 3	m_BE	0.002 3	m_CH	0.005 2	m_FG	-0.008 2
m_C	0.088 1	m_AD	0.005 9	m_BF	0.001 2	m_DE	0.002 0	m_FH	0.006 4
m_D	0.102 0	m_AE	0.001 5	m_BG	-0.008 9	m_DF	0.001 1	m_GH	-0.014 3
m_E	0.100 0	m_AF	0.001 6	m_BH	0.006 9	m_DG	-0.007 8
m_F	0.107 3	m_AG	-0.011 1	m_CD	0.001 8	m_DH	0.006 1
m_G	0.191 8	m_AH	0.008 6	m_CE	0.001 8	m_EF	0.001 1
m_H	0.148 4	m_BC	0.001 0	m_CF	0.000 9	m_EG	-0.007 7