

新疆农业科学 ›› 2025, Vol. 62 ›› Issue (7): 1709-1719.DOI: 10.6048/j.issn.1001-4330.2025.07.016
杨柳1,2(
), 唐光木1,2(
), 刘娇2, 朱杰1,2, 郭珂妤1,2, 张云舒1,2, 马海刚2, 徐万里1,2(
)
收稿日期:2024-12-08
出版日期:2025-07-20
发布日期:2025-09-05
通信作者:
唐光木(1983-),男,河南郏县人,研究员,硕士,研究方向为农林废弃物炭化利用,(E-mail)tangjunhui5120@126.com;作者简介:杨柳(1998-),女,内蒙古呼伦贝尔人,硕士研究生,研究方向为土壤改良与利用,(E-mail)59959383@qq.com
基金资助:
YANG Liu1,2(
), TANG Guangmu1,2(
), LIU Jiao2, ZHU Jie1,2, GUO Keyu1,2, ZHANG Yunshu1,2, MA Haigang2, XU Wanli1,2(
)
Received:2024-12-08
Published:2025-07-20
Online:2025-09-05
Supported by:摘要:
【目的】探究复合双硝基酚钠(CSN)、植多苷(DSK)、丁双酰(D2)及复合奈氧(FN-6)对棉花植株抗逆能力的影响,寻求最佳配施比例。【方法】采用二次通用旋转组合设计,通过测定植株过氧化物酶(POD)、过氧化氢酶(CAT)、超氧化物歧化酶(SDO)、丙二醛(MDA)及吲哚乙酸(IAA)含量,使用Design-Expert 13为其建立函数模型,F检验,分析各回归模型及各项回归系数的显著性,利用模型分析PGR施量对植株酶活性及内源IAA含量的影响,使用熵权法选取植株POD活性为代表性指示指标对其回归模型进行模拟与筛选优化组合方案,得到最优施用比例。同时,通过TOPSIS法(Ci)、熵值法(Si)、因子分析(εj)、秩和比综合评价法(RSR)四种综合评价方法对代表性指标寻优结果进行验证,结果一致均为处在零水平施用效果最佳,施量可影响植株酶活性及内源IAA含量。【结果】随着PGR施量的增加植株POD、SOD、CAT活性与内源IAA含量呈先增加后降低趋势,MDA含量呈先下降后增加趋势。各因素对植株POD活性的影响大小为DSK>FN-6>CSN>D2,对植株CAT的影响大小为FN-6>CSN>DSK>D2,对植株SOD、MDA及内源IAA含量的影响大小为均CSN>DSK>FN-6>D2。【结论】最佳配施方案为CSN:446.04~448.73 mg/hm2、FN-6:526.28~528.96 mg/hm2、DSK:526.28~528.96 mg/hm2、D2:446.04~448.73 mg/hm2。
中图分类号:
杨柳, 唐光木, 刘娇, 朱杰, 郭珂妤, 张云舒, 马海刚, 徐万里. 基于二次通用旋转组合的植物生长调节剂最优组合[J]. 新疆农业科学, 2025, 62(7): 1709-1719.
YANG Liu, TANG Guangmu, LIU Jiao, ZHU Jie, GUO Keyu, ZHANG Yunshu, MA Haigang, XU Wanli. Research on the optimal combination of plant growth regulators based on quadratic universal rotation combination[J]. Xinjiang Agricultural Sciences, 2025, 62(7): 1709-1719.
| 编码值 Enco- ding value | 实际值Actual value | |||
|---|---|---|---|---|
| X1(CSN) | X2(FN-6) | X3(DSK) | X4(D2) | |
| 2 | 900 | 900 | 900 | 900 |
| 1 | 693.75 | 693.75 | 693.75 | 693.75 |
| 0 | 487.5 | 487.5 | 487.5 | 487.5 |
| -1 | 281.25 | 281.25 | 281.25 | 281.25 |
| -2 | 75 | 75 | 75 | 75 |
表1 试验设计水平编码值
Tab.1 Experimental Design Level Encoding Values
| 编码值 Enco- ding value | 实际值Actual value | |||
|---|---|---|---|---|
| X1(CSN) | X2(FN-6) | X3(DSK) | X4(D2) | |
| 2 | 900 | 900 | 900 | 900 |
| 1 | 693.75 | 693.75 | 693.75 | 693.75 |
| 0 | 487.5 | 487.5 | 487.5 | 487.5 |
| -1 | 281.25 | 281.25 | 281.25 | 281.25 |
| -2 | 75 | 75 | 75 | 75 |
| 处理 Treat- ments | 二次通用旋转组合设计 Secondary universal rotation combination design | |||
|---|---|---|---|---|
| X1(CSN) | X2(FN-6) | X3(DSK) | X4(D2) | |
| 1 | 1 | 1 | 1 | 1 |
| 2 | 1 | 1 | 1 | -1 |
| 3 | 1 | 1 | -1 | 1 |
| 4 | 1 | 1 | -1 | -1 |
| 5 | 1 | -1 | 1 | 1 |
| 6 | 1 | -1 | 1 | -1 |
| 7 | 1 | -1 | -1 | 1 |
| 8 | 1 | -1 | -1 | -1 |
| 9 | -1 | 1 | 1 | 1 |
| 10 | -1 | 1 | 1 | -1 |
| 11 | -1 | 1 | -1 | 1 |
| 12 | -1 | 1 | -1 | -1 |
| 13 | -1 | -1 | 1 | 1 |
| 14 | -1 | -1 | 1 | -1 |
| 15 | -1 | -1 | -1 | 1 |
| 16 | -1 | -1 | -1 | -1 |
| 17 | 2 | 0 | 0 | 0 |
| 18 | -2 | 0 | 0 | 0 |
| 19 | 0 | 2 | 0 | 0 |
| 20 | 0 | -2 | 0 | 0 |
| 21 | 0 | 0 | 2 | 0 |
| 22 | 0 | 0 | -2 | 0 |
| 23 | 0 | 0 | 0 | 2 |
| 24 | 0 | 0 | 0 | -2 |
| 25 | 0 | 0 | 0 | 0 |
| 26 | 0 | 0 | 0 | 0 |
| 27 | 0 | 0 | 0 | 0 |
| 28 | 0 | 0 | 0 | 0 |
| 29 | 0 | 0 | 0 | 0 |
| 30 | 0 | 0 | 0 | 0 |
| 31 | 0 | 0 | 0 | 0 |
表2 二次通用旋转组合设计方案
Tab.2 Secondary Universal Rotation Combination Design Scheme
| 处理 Treat- ments | 二次通用旋转组合设计 Secondary universal rotation combination design | |||
|---|---|---|---|---|
| X1(CSN) | X2(FN-6) | X3(DSK) | X4(D2) | |
| 1 | 1 | 1 | 1 | 1 |
| 2 | 1 | 1 | 1 | -1 |
| 3 | 1 | 1 | -1 | 1 |
| 4 | 1 | 1 | -1 | -1 |
| 5 | 1 | -1 | 1 | 1 |
| 6 | 1 | -1 | 1 | -1 |
| 7 | 1 | -1 | -1 | 1 |
| 8 | 1 | -1 | -1 | -1 |
| 9 | -1 | 1 | 1 | 1 |
| 10 | -1 | 1 | 1 | -1 |
| 11 | -1 | 1 | -1 | 1 |
| 12 | -1 | 1 | -1 | -1 |
| 13 | -1 | -1 | 1 | 1 |
| 14 | -1 | -1 | 1 | -1 |
| 15 | -1 | -1 | -1 | 1 |
| 16 | -1 | -1 | -1 | -1 |
| 17 | 2 | 0 | 0 | 0 |
| 18 | -2 | 0 | 0 | 0 |
| 19 | 0 | 2 | 0 | 0 |
| 20 | 0 | -2 | 0 | 0 |
| 21 | 0 | 0 | 2 | 0 |
| 22 | 0 | 0 | -2 | 0 |
| 23 | 0 | 0 | 0 | 2 |
| 24 | 0 | 0 | 0 | -2 |
| 25 | 0 | 0 | 0 | 0 |
| 26 | 0 | 0 | 0 | 0 |
| 27 | 0 | 0 | 0 | 0 |
| 28 | 0 | 0 | 0 | 0 |
| 29 | 0 | 0 | 0 | 0 |
| 30 | 0 | 0 | 0 | 0 |
| 31 | 0 | 0 | 0 | 0 |
| Y | 目标函数回归方程 Objective function regression equation | R2 |
|---|---|---|
| POD | Y1=45936.29-1589.79 X1-326.88 X2+730.63 X3+210.12 X4-435.19 X1 X2-822.81 X1 X3-17.56 X1 X4-1351.44 X2 X3-770.94 X2 X4-829.81 X3 X4-3168.87 X1-3620.12 X2-2626.25 X3-2896.00 X4 | 0.93 |
| CAT | Y2=14.54-0.50 X1+0.92 X2+0.51 X3+0.11 X4+0.58 X1 X2-0.29 X1 X3-0.03 X1 X4+0.42 X2 X3+0.28 X2 X4-0.40 X3 X4-2 X1-1.39 X2-2.32 X3-1.31 X4 | 0.84 |
| SOD | Y3=1771.56-298.19 X1-27.42 X2-119.41 X3-33.32 X4+71.74 X1 X2-156.22 X1 X3+101.59 X1 X4-58.10 X2 X3-0.17 X2 X4-38.96 X3 X4-223.45 X1-126.82 X2-171.45 X3-308.91 X4 | 0.79 |
| MDA | Y4=1.21+0.72 X1+0.83 X2+1.11 X3+0.96 X4+0.36 X1 X2-0.25 X1 X3-0.03 X1 X4 +0.002 X2 X3+0.06 X2 X4+0.06 X3 X4+1.07 X1+1.39 X2+0.78 X3+0.80 X4 | 0.95 |
| IAA | Y5=15.63+0.88 X1+0.50 X2+0.58 X3+0.24 X4-0.15 X1 X2+0.005 X1 X3+0.04 X1 X4 -0.14 X2 X3+0.21 X2 X4+0.29 X3 X4-2.36 X1-1.54 X2-1.70 X3-2 X4 | 0.85 |
表3 目标函数回归结果
Tab.3 Objective Function Regression Results
| Y | 目标函数回归方程 Objective function regression equation | R2 |
|---|---|---|
| POD | Y1=45936.29-1589.79 X1-326.88 X2+730.63 X3+210.12 X4-435.19 X1 X2-822.81 X1 X3-17.56 X1 X4-1351.44 X2 X3-770.94 X2 X4-829.81 X3 X4-3168.87 X1-3620.12 X2-2626.25 X3-2896.00 X4 | 0.93 |
| CAT | Y2=14.54-0.50 X1+0.92 X2+0.51 X3+0.11 X4+0.58 X1 X2-0.29 X1 X3-0.03 X1 X4+0.42 X2 X3+0.28 X2 X4-0.40 X3 X4-2 X1-1.39 X2-2.32 X3-1.31 X4 | 0.84 |
| SOD | Y3=1771.56-298.19 X1-27.42 X2-119.41 X3-33.32 X4+71.74 X1 X2-156.22 X1 X3+101.59 X1 X4-58.10 X2 X3-0.17 X2 X4-38.96 X3 X4-223.45 X1-126.82 X2-171.45 X3-308.91 X4 | 0.79 |
| MDA | Y4=1.21+0.72 X1+0.83 X2+1.11 X3+0.96 X4+0.36 X1 X2-0.25 X1 X3-0.03 X1 X4 +0.002 X2 X3+0.06 X2 X4+0.06 X3 X4+1.07 X1+1.39 X2+0.78 X3+0.80 X4 | 0.95 |
| IAA | Y5=15.63+0.88 X1+0.50 X2+0.58 X3+0.24 X4-0.15 X1 X2+0.005 X1 X3+0.04 X1 X4 -0.14 X2 X3+0.21 X2 X4+0.29 X3 X4-2.36 X1-1.54 X2-1.70 X3-2 X4 | 0.85 |
| 变异来源 Source of variation | F值 | ||||
|---|---|---|---|---|---|
| POD(Y1) | CAT(Y2) | SOD(Y3) | MDA(Y4) | IAA(Y5) | |
| X1 | 13.500*** | 1.470 | 17.130*** | 21.540*** | 4.510** |
| X2 | 0.571 | 4.890** | 0.145 | 28.430*** | 1.450 |
| X3 | 2.850 | 1.540 | 2.750 | 51.100*** | 1.940 |
| X4 | 0.236 | 0.068 | 0.214 | 37.900*** | 0.331 |
| X1X2 | 0.674 | 1.290 | 0.661 | 3.660* | 0.092 |
| X1X3 | 2.410 | 0.315 | 3.140* | 1.740 | 0.000 |
| 0.001 | 0.003 | 1.330 | 0.023 | 0.007 | |
| X2X3 | 6.500** | 0.678 | 0.434 | 0.000 | 0.078 |
| X2X4 | 2.120 | 0.305 | 0.000 | 0.092 | 0.179 |
| X3X4 | 2.450 | 0.631 | 0.195 | 0.103 | 0.318 |
| X1 | 63.910*** | 27.680*** | 11.460*** | 55.930*** | 38.770*** |
| X2 | 83.410*** | 13.370*** | 3.690* | 95.190*** | 16.500*** |
| X3 | 43.900*** | 37.400*** | 6.750** | 30.030*** | 20.010*** |
| X4 | 53.380*** | 11.860*** | 21.910*** | 31.090*** | 27.710*** |
| 总模型Model Overall Model | 15.570*** | 5.820*** | 4.340*** | 22.130*** | 6.280*** |
| 失拟Lf Misfitting Lf | 1.140 | 0.392 | 0.179 | 2.050 | 0.909 |
表4 回归模型方差
Tab.4 Regression Model ANOVA Table
| 变异来源 Source of variation | F值 | ||||
|---|---|---|---|---|---|
| POD(Y1) | CAT(Y2) | SOD(Y3) | MDA(Y4) | IAA(Y5) | |
| X1 | 13.500*** | 1.470 | 17.130*** | 21.540*** | 4.510** |
| X2 | 0.571 | 4.890** | 0.145 | 28.430*** | 1.450 |
| X3 | 2.850 | 1.540 | 2.750 | 51.100*** | 1.940 |
| X4 | 0.236 | 0.068 | 0.214 | 37.900*** | 0.331 |
| X1X2 | 0.674 | 1.290 | 0.661 | 3.660* | 0.092 |
| X1X3 | 2.410 | 0.315 | 3.140* | 1.740 | 0.000 |
| 0.001 | 0.003 | 1.330 | 0.023 | 0.007 | |
| X2X3 | 6.500** | 0.678 | 0.434 | 0.000 | 0.078 |
| X2X4 | 2.120 | 0.305 | 0.000 | 0.092 | 0.179 |
| X3X4 | 2.450 | 0.631 | 0.195 | 0.103 | 0.318 |
| X1 | 63.910*** | 27.680*** | 11.460*** | 55.930*** | 38.770*** |
| X2 | 83.410*** | 13.370*** | 3.690* | 95.190*** | 16.500*** |
| X3 | 43.900*** | 37.400*** | 6.750** | 30.030*** | 20.010*** |
| X4 | 53.380*** | 11.860*** | 21.910*** | 31.090*** | 27.710*** |
| 总模型Model Overall Model | 15.570*** | 5.820*** | 4.340*** | 22.130*** | 6.280*** |
| 失拟Lf Misfitting Lf | 1.140 | 0.392 | 0.179 | 2.050 | 0.909 |
| 变异来源 Source of variation | POD (Y1) | CAT (Y2) | SOD (Y3) | MDA (Y4) | IAA (Y5) |
|---|---|---|---|---|---|
| X1 | 2.203 | 1.396 | 2.319 | 2.512 | 1.752 |
| X2 | 1.675 | 1.833 | 0.729 | 2.318 | 1.250 |
| X3 | 2.638 | 1.324 | 1.829 | 2.160 | 1.435 |
| X4 | 1.541 | 0.916 | 1.078 | 1.941 | 0.964 |
表5 单因素贡献率
Tab.5 Single factor contribution rate
| 变异来源 Source of variation | POD (Y1) | CAT (Y2) | SOD (Y3) | MDA (Y4) | IAA (Y5) |
|---|---|---|---|---|---|
| X1 | 2.203 | 1.396 | 2.319 | 2.512 | 1.752 |
| X2 | 1.675 | 1.833 | 0.729 | 2.318 | 1.250 |
| X3 | 2.638 | 1.324 | 1.829 | 2.160 | 1.435 |
| X4 | 1.541 | 0.916 | 1.078 | 1.941 | 0.964 |
| 指示指标 Indicator indicators | 熵权法 Entropy weighting method | ||
|---|---|---|---|
| 信息熵值e Information entropy value e | 信息效用值d Information utility value d | 权重 Weight (%) | |
| POD | 0.908 | 0.092 | 28.92 |
| CAT | 0.940 | 0.060 | 18.64 |
| IAA | 0.949 | 0.051 | 15.95 |
| SOD | 0.938 | 0.062 | 19.31 |
| MDA | 0.945 | 0.055 | 17.18 |
表6 指示指标权重计算
Tab.6 Calculation of Indicator Weights
| 指示指标 Indicator indicators | 熵权法 Entropy weighting method | ||
|---|---|---|---|
| 信息熵值e Information entropy value e | 信息效用值d Information utility value d | 权重 Weight (%) | |
| POD | 0.908 | 0.092 | 28.92 |
| CAT | 0.940 | 0.060 | 18.64 |
| IAA | 0.949 | 0.051 | 15.95 |
| SOD | 0.938 | 0.062 | 19.31 |
| MDA | 0.945 | 0.055 | 17.18 |
| 编码值 Encoding value | X1 | X2 | X3 | X4 | ||||
|---|---|---|---|---|---|---|---|---|
| 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | |
| -2 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 |
| -1 | 18 | 0.300 | 15 | 0.286 | 16 | 0.264 | 19 | 0.326 |
| 0 | 25 | 0.405 | 27 | 0.476 | 29 | 0.477 | 23 | 0.441 |
| 1 | 17 | 0.326 | 15 | 0.271 | 15 | 0.264 | 17 | 0.326 |
| 2 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 |
| 标准误 Standard error | 0.102 4 | 0.098 7 | 0.096 4 | 0.102 5 | ||||
| 95%置信区间 95% confidence interval | -0.201~0.201 | -0.188~0.188 | -0.188~0.188 | -0.201~0.201 | ||||
| 农艺措施 Agronomic measures | 446.04~448.73 | 526.28~528.96 | 526.28~528.96 | 446.04~448.73 | ||||
表7 植株过氧化物酶(POD)活性≥36 549.68 (U/g)的频率分布
Tab.7 Frequency distribution of plant peroxidase (POD) activity ≥ 36 549.68 (U/g)
| 编码值 Encoding value | X1 | X2 | X3 | X4 | ||||
|---|---|---|---|---|---|---|---|---|
| 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | 次数 Frequency | 频率 Frequency | |
| -2 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 |
| -1 | 18 | 0.300 | 15 | 0.286 | 16 | 0.264 | 19 | 0.326 |
| 0 | 25 | 0.405 | 27 | 0.476 | 29 | 0.477 | 23 | 0.441 |
| 1 | 17 | 0.326 | 15 | 0.271 | 15 | 0.264 | 17 | 0.326 |
| 2 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 | 0 | 0.000 |
| 标准误 Standard error | 0.102 4 | 0.098 7 | 0.096 4 | 0.102 5 | ||||
| 95%置信区间 95% confidence interval | -0.201~0.201 | -0.188~0.188 | -0.188~0.188 | -0.201~0.201 | ||||
| 农艺措施 Agronomic measures | 446.04~448.73 | 526.28~528.96 | 526.28~528.96 | 446.04~448.73 | ||||
| 处理 Treatments | TOPSIS法 TOPSIS method | 熵值法 Entropy method | 因子分析法 Factor analysis method | 秩和比综合评价法 Rank sum ratio comprehensive evaluation method | ||||
|---|---|---|---|---|---|---|---|---|
| Ci | 排序 Sort | Si | 排序 Sort | εj | 排序 Sort | RSR | 排序 Sort | |
| 1 | 0.205 7 | 30 | 0.144 6 | 30 | -1.063 1 | 30 | 0.172 1 | 30 |
| 2 | 0.248 7 | 27 | 0.208 0 | 29 | -0.775 4 | 28 | 0.233 5 | 29 |
| 3 | 0.279 0 | 26 | 0.250 2 | 26 | -0.591 5 | 22 | 0.274 4 | 26 |
| 4 | 0.298 1 | 25 | 0.288 0 | 22 | -0.550 3 | 19 | 0.310 9 | 22 |
| 5 | 0.244 4 | 29 | 0.222 4 | 28 | -0.870 5 | 29 | 0.247 5 | 28 |
| 6 | 0.299 4 | 24 | 0.275 1 | 25 | -0.641 3 | 26 | 0.298 5 | 25 |
| 7 | 0.299 5 | 23 | 0.283 9 | 23 | -0.608 3 | 25 | 0.307 0 | 23 |
| 8 | 0.324 9 | 20 | 0.276 4 | 24 | -0.592 0 | 23 | 0.299 7 | 24 |
| 9 | 0.246 2 | 28 | 0.237 5 | 27 | -0.721 3 | 27 | 0.262 1 | 27 |
| 10 | 0.417 2 | 10 | 0.416 3 | 9 | 0.039 4 | 8 | 0.435 1 | 9 |
| 11 | 0.354 8 | 15 | 0.350 6 | 13 | -0.274 8 | 14 | 0.371 5 | 13 |
| 12 | 0.380 6 | 13 | 0.347 8 | 15 | -0.365 5 | 16 | 0.368 8 | 15 |
| 13 | 0.377 8 | 14 | 0.374 2 | 12 | -0.177 0 | 10 | 0.394 3 | 12 |
| 14 | 0.453 7 | 8 | 0.449 3 | 8 | 0.037 0 | 9 | 0.467 1 | 8 |
| 15 | 0.335 2 | 18 | 0.302 6 | 20 | -0.596 5 | 24 | 0.325 1 | 20 |
| 16 | 0.382 7 | 12 | 0.348 9 | 14 | -0.189 6 | 12 | 0.369 9 | 14 |
| 17 | 0.136 3 | 31 | 0.113 1 | 31 | -1.340 0 | 31 | 0.141 7 | 31 |
| 18 | 0.431 0 | 9 | 0.413 7 | 10 | -0.182 2 | 11 | 0.432 6 | 10 |
| 19 | 0.345 3 | 17 | 0.322 9 | 17 | -0.283 9 | 15 | 0.344 7 | 17 |
| 20 | 0.317 8 | 21 | 0.288 7 | 21 | -0.563 7 | 21 | 0.311 7 | 21 |
| 21 | 0.314 0 | 22 | 0.308 4 | 19 | -0.540 2 | 18 | 0.330 7 | 19 |
| 22 | 0.417 0 | 11 | 0.392 6 | 11 | -0.254 1 | 13 | 0.412 2 | 11 |
| 23 | 0.334 2 | 19 | 0.329 5 | 16 | -0.399 6 | 17 | 0.351 2 | 16 |
| 24 | 0.345 6 | 16 | 0.311 2 | 18 | -0.555 6 | 20 | 0.333 4 | 18 |
| 25 | 0.682 8 | 7 | 0.763 5 | 5 | 1.470 2 | 5 | 0.771 2 | 5 |
| 26 | 0.752 9 | 4 | 0.781 5 | 4 | 1.602 6 | 4 | 0.788 6 | 4 |
| 27 | 0.868 1 | 1 | 0.901 0 | 1 | 2.151 6 | 1 | 0.904 2 | 1 |
| 28 | 0.698 8 | 6 | 0.701 6 | 7 | 1.270 9 | 7 | 0.711 2 | 7 |
| 29 | 0.848 9 | 2 | 0.872 4 | 2 | 2.068 9 | 2 | 0.876 5 | 2 |
| 30 | 0.827 5 | 3 | 0.856 6 | 3 | 2.025 6 | 3 | 0.861 2 | 3 |
| 31 | 0.727 7 | 5 | 0.744 7 | 6 | 1.470 1 | 6 | 0.752 9 | 6 |
表8 各指示指标综合评价方法结果及排序比较
Tab.8 Comprehensive evaluation method results and ranking comparison of various indicator indicators
| 处理 Treatments | TOPSIS法 TOPSIS method | 熵值法 Entropy method | 因子分析法 Factor analysis method | 秩和比综合评价法 Rank sum ratio comprehensive evaluation method | ||||
|---|---|---|---|---|---|---|---|---|
| Ci | 排序 Sort | Si | 排序 Sort | εj | 排序 Sort | RSR | 排序 Sort | |
| 1 | 0.205 7 | 30 | 0.144 6 | 30 | -1.063 1 | 30 | 0.172 1 | 30 |
| 2 | 0.248 7 | 27 | 0.208 0 | 29 | -0.775 4 | 28 | 0.233 5 | 29 |
| 3 | 0.279 0 | 26 | 0.250 2 | 26 | -0.591 5 | 22 | 0.274 4 | 26 |
| 4 | 0.298 1 | 25 | 0.288 0 | 22 | -0.550 3 | 19 | 0.310 9 | 22 |
| 5 | 0.244 4 | 29 | 0.222 4 | 28 | -0.870 5 | 29 | 0.247 5 | 28 |
| 6 | 0.299 4 | 24 | 0.275 1 | 25 | -0.641 3 | 26 | 0.298 5 | 25 |
| 7 | 0.299 5 | 23 | 0.283 9 | 23 | -0.608 3 | 25 | 0.307 0 | 23 |
| 8 | 0.324 9 | 20 | 0.276 4 | 24 | -0.592 0 | 23 | 0.299 7 | 24 |
| 9 | 0.246 2 | 28 | 0.237 5 | 27 | -0.721 3 | 27 | 0.262 1 | 27 |
| 10 | 0.417 2 | 10 | 0.416 3 | 9 | 0.039 4 | 8 | 0.435 1 | 9 |
| 11 | 0.354 8 | 15 | 0.350 6 | 13 | -0.274 8 | 14 | 0.371 5 | 13 |
| 12 | 0.380 6 | 13 | 0.347 8 | 15 | -0.365 5 | 16 | 0.368 8 | 15 |
| 13 | 0.377 8 | 14 | 0.374 2 | 12 | -0.177 0 | 10 | 0.394 3 | 12 |
| 14 | 0.453 7 | 8 | 0.449 3 | 8 | 0.037 0 | 9 | 0.467 1 | 8 |
| 15 | 0.335 2 | 18 | 0.302 6 | 20 | -0.596 5 | 24 | 0.325 1 | 20 |
| 16 | 0.382 7 | 12 | 0.348 9 | 14 | -0.189 6 | 12 | 0.369 9 | 14 |
| 17 | 0.136 3 | 31 | 0.113 1 | 31 | -1.340 0 | 31 | 0.141 7 | 31 |
| 18 | 0.431 0 | 9 | 0.413 7 | 10 | -0.182 2 | 11 | 0.432 6 | 10 |
| 19 | 0.345 3 | 17 | 0.322 9 | 17 | -0.283 9 | 15 | 0.344 7 | 17 |
| 20 | 0.317 8 | 21 | 0.288 7 | 21 | -0.563 7 | 21 | 0.311 7 | 21 |
| 21 | 0.314 0 | 22 | 0.308 4 | 19 | -0.540 2 | 18 | 0.330 7 | 19 |
| 22 | 0.417 0 | 11 | 0.392 6 | 11 | -0.254 1 | 13 | 0.412 2 | 11 |
| 23 | 0.334 2 | 19 | 0.329 5 | 16 | -0.399 6 | 17 | 0.351 2 | 16 |
| 24 | 0.345 6 | 16 | 0.311 2 | 18 | -0.555 6 | 20 | 0.333 4 | 18 |
| 25 | 0.682 8 | 7 | 0.763 5 | 5 | 1.470 2 | 5 | 0.771 2 | 5 |
| 26 | 0.752 9 | 4 | 0.781 5 | 4 | 1.602 6 | 4 | 0.788 6 | 4 |
| 27 | 0.868 1 | 1 | 0.901 0 | 1 | 2.151 6 | 1 | 0.904 2 | 1 |
| 28 | 0.698 8 | 6 | 0.701 6 | 7 | 1.270 9 | 7 | 0.711 2 | 7 |
| 29 | 0.848 9 | 2 | 0.872 4 | 2 | 2.068 9 | 2 | 0.876 5 | 2 |
| 30 | 0.827 5 | 3 | 0.856 6 | 3 | 2.025 6 | 3 | 0.861 2 | 3 |
| 31 | 0.727 7 | 5 | 0.744 7 | 6 | 1.470 1 | 6 | 0.752 9 | 6 |
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