2020数学建模C题

it2022-12-27  47

后来越来越觉得,当时建模做了个shi么…方法搞不清楚怎么用就套,代码,害,老师肯定觉得 熊孩子怎么回事 一个程序用这么多次不知道写个函数都…

程序一.附件一数据处理

1. #导包 2. import pandas as pd 3. import numpy as np 4. 5. #文件 6. file_path='123家有信贷记录企业的相关数据及产业分类.xlsx' 7. #读取sheet的名字 8. sheetName1='企业信息' 9. sheetName2='进项发票信息' 10. sheetName3='销项发票信息' 11. data_1=pd.read_excel(file_path,sheet_name=sheetName1) 12. data_2=pd.read_excel(file_path,sheet_name=sheetName2) 13. data_3=pd.read_excel(file_path,sheet_name=sheetName3) 14. 15. # 拷贝一下,老写错代码,导数据真慢 16. data_1a=data_1.copy(deep=True) 17. data_2a=data_2.copy(deep=True) 18. data_3a=data_3.copy(deep=True) 19. 20. #时间转化为整型以方便比较,分类 21. def time_trans(time_ch): 22. year = time_ch.split('-')[0] 23. month = time_ch.split('-')[1] 24. day = time_ch.split('-')[2].split(' ')[0] 25. new_date = (year + month + day ) 26. return int(new_date) 27. 28. a = list(data_2a['开票日期']) 29. for i in range(len(data_2a['开票日期'])): 30. a[i] = str(a[i]) 31. a[i] = time_trans(a[i]) 32. data_2a['开票日期'] = a 33. 34. # 企业代号转化为整型 35. def num_trans(num_ch): 36. num = num_ch.split('E')[1] 37. return int(num) 38. a2 = list(data_2a['企业代号']) 39. for i in range(len(a2)): 40. a2[i] = num_trans(a2[i]) 41. data_2a['企业代号'] = a2 42. 43. data_21 = data_2a.loc[data_2a['开票日期']<20180101] #18年之前 44. data_22 = data_2a.loc[(data_2a['开票日期']>=20180101) & (data_2a['开票日期']<20190101)] #18年 45. data_23 = data_2a.loc[data_2a['开票日期']>=20190101] #19年及之后 46. # 18年之前 47. data_211 = data_21.loc[(data_21['发票状态']=='有效发票') & (data_21['价税合计']>0)] 48. data_212 = data_21.loc[data_21['发票状态']=='作废发票'] 49. data_213 = data_21.loc[(data_21['发票状态']=='有效发票') & (data_21['价税合计']<0)] 50. # 18年 51. data_221 = data_22.loc[(data_22['发票状态']=='有效发票') & (data_22['价税合计']>0)] 52. data_222 = data_22.loc[data_22['发票状态']=='作废发票'] 53. data_223 = data_22.loc[(data_22['发票状态']=='有效发票') & (data_22['价税合计']<0)] 54. # 19年及之后 55. data_231 = data_23.loc[(data_23['发票状态']=='有效发票') & (data_23['价税合计']>0)] 56. data_232 = data_23.loc[data_23['发票状态']=='作废发票'] 57. data_233 = data_23.loc[(data_23['发票状态']=='有效发票') & (data_23['价税合计']<0)] 58. 59. jin211 = [0 for index in range(123)] #存放18年之前每家企业的进项有效发票金额 60. a211 = list(data_211['企业代号']);b211 = list(data_211['价税合计']) 61. for i in range(len(a211)): 62. for j in range(123): 63. if a211[i] == j+1: 64. jin211[j] += b211[i] 65. 66. jin212 = [0 for index in range(123)] #存放18年之前每家企业的进项作废发票数量 67. a212 = list(data_212['企业代号']);b212 = list(data_212['价税合计']) 68. for i in range(len(a212)): 69. for j in range(123): 70. if a212[i] == j+1: 71. jin212[j] += 1 72. 73. jin213 = [0 for index in range(123)] #存放18年之前每家企业的进项负数发票数量 74. a213 = list(data_213['企业代号']);b213 = list(data_213['价税合计']) 75. for i in range(len(a213)): 76. for j in range(123): 77. if a213[i] == j+1: 78. jin213[j] += 1 79. 80. jin221 = [0 for index in range(123)] #存放18年每家企业的进项有效发票金额 81. a221 = list(data_221['企业代号']);b221 = list(data_221['价税合计']) 82. for i in range(len(a221)): 83. for j in range(123): 84. if a221[i] == j+1: 85. jin221[j] += b221[i] 86. 87. jin222 = [0 for index in range(123)] #存放18年每家企业的进项作废发票数量 88. a222 = list(data_222['企业代号']);b222 = list(data_222['价税合计']) 89. for i in range(len(a222)): 90. for j in range(123): 91. if a222[i] == j+1: 92. jin222[j] += 1 93. 94. jin223 = [0 for index in range(123)] #存放18年每家企业的进项负数发票数量 95. a223 = list(data_223['企业代号']);b223 = list(data_223['价税合计']) 96. for i in range(len(a223)): 97. for j in range(123): 98. if a223[i] == j+1: 99. jin223[j] += 1 100. 101. jin231 = [0 for index in range(123)] #存放19年及之后每家企业的进项有效发票金额 102. a231 = list(data_231['企业代号']);b231 = list(data_231['价税合计']) 103. for i in range(len(a231)): 104. for j in range(123): 105. if a231[i] == j+1: 106. jin231[j] += b231[i] 107. 108. jin232 = [0 for index in range(123)] #存放19年及之后每家企业的进项作废发票数量 109. a232 = list(data_232['企业代号']);b232 = list(data_232['价税合计']) 110. for i in range(len(a232)): 111. for j in range(123): 112. if a232[i] == j+1: 113. jin232[j] += 1 114. 115. jin233 = [0 for index in range(123)] #存放19年及之后每家企业的进项负数发票数量 116. a233 = list(data_213['企业代号']);b233 = list(data_233['价税合计']) 117. for i in range(len(a233)): 118. for j in range(123): 119. if a233[i] == j+1: 120. jin233[j] += 1 121. 122. a2 = list(data_3a['企业代号']) 123. for i in range(len(a2)): 124. a2[i] = num_trans(a2[i]) 125. data_3a['企业代号'] = a2 126. 127. a = list(data_3a['开票日期']) 128. for i in range(len(data_3a['开票日期'])): 129. a[i] = str(a[i]) 130. for i in range(len(a)): 131. a[i] = time_trans(a[i]) 132. data_3a['开票日期'] = a 133. 134. data_31 = data_3a.loc[data_3a['开票日期']<20180101] #18年之前 135. data_32 = data_3a.loc[(data_3a['开票日期']>=20180101) & (data_3a['开票日期']<20190101)] #18年 136. data_33 = data_3a.loc[data_3a['开票日期']>=20190101] #19年及之后 137. # 18年之前 138. data_311 = data_31.loc[(data_31['发票状态']=='有效发票') & (data_31['价税合计']>0)] 139. data_312 = data_31.loc[data_31['发票状态']=='作废发票'] 140. data_313 = data_31.loc[(data_31['发票状态']=='有效发票') & (data_31['价税合计']<0)] 141. # 18年 142. data_321 = data_32.loc[(data_32['发票状态']=='有效发票') & (data_32['价税合计']>0)] 143. data_322 = data_32.loc[data_32['发票状态']=='作废发票'] 144. data_323 = data_32.loc[(data_32['发票状态']=='有效发票') & (data_32['价税合计']<0)] 145. # 19年及之后 146. data_331 = data_33.loc[(data_33['发票状态']=='有效发票') & (data_33['价税合计']>0)] 147. data_332 = data_33.loc[data_33['发票状态']=='作废发票'] 148. data_333 = data_33.loc[(data_33['发票状态']=='有效发票') & (data_33['价税合计']<0)] 149. 150. jin311 = [0 for index in range(123)] #存放18年之前每家企业的销项有效发票金额 151. a311 = list(data_311['企业代号']);b311 = list(data_311['金额']) 152. for i in range(len(a311)): 153. for j in range(123): 154. if a311[i] == j+1: 155. jin311[j] += b311[i] 156. 157. jin312 = [0 for index in range(123)] #存放18年之前每家企业的销项作废发票数量 158. a312 = list(data_312['企业代号']);b312 = list(data_312['金额']) 159. for i in range(len(a312)): 160. for j in range(123): 161. if a312[i] == j+1: 162. jin312[j] += 1 163. 164. jin313 = [0 for index in range(123)] #存放18年之前每家企业的销项负数发票数量 165. a313 = list(data_313['企业代号']);b313 = list(data_313['金额']) 166. for i in range(len(a313)): 167. for j in range(123): 168. if a313[i] == j+1: 169. jin313[j] += 1 170. 171. jin321 = [0 for index in range(123)] #存放18年每家企业的销项有效发票金额 172. a321 = list(data_321['企业代号']);b321 = list(data_321['金额']) 173. for i in range(len(a321)): 174. for j in range(123): 175. if a321[i] == j+1: 176. jin321[j] += b321[i] 177. 178. jin322 = [0 for index in range(123)] #存放18年每家企业的销项作废发票数量 179. a322 = list(data_322['企业代号']);b322 = list(data_322['金额']) 180. for i in range(len(a322)): 181. for j in range(123): 182. if a322[i] == j+1: 183. jin322[j] += 1 184. 185. jin323 = [0 for index in range(123)] #存放18年每家企业的销项负数发票数量 186. a323 = list(data_323['企业代号']);b323 = list(data_323['金额']) 187. for i in range(len(a323)): 188. for j in range(123): 189. if a323[i] == j+1: 190. jin323[j] += 1 191. 192. jin331 = [0 for index in range(123)] #存放19年及之后每家企业的销项有效发票金额 193. a331 = list(data_331['企业代号']);b331 = list(data_331['金额']) 194. for i in range(len(a331)): 195. for j in range(123): 196. if a331[i] == j+1: 197. jin331[j] += b331[i] 198. 199. jin332 = [0 for index in range(123)] #存放19年及之后每家企业的销项作废发票数量 200. a332 = list(data_332['企业代号']);b332 = list(data_332['金额']) 201. for i in range(len(a332)): 202. for j in range(123): 203. if a332[i] == j+1: 204. jin332[j] += 1 205. 206. jin333 = [0 for index in range(123)] #存放19年及之后每家企业的销项负数发票数量 207. a333 = list(data_333['企业代号']);b333 = list(data_333['金额']) 208. for i in range(len(a333)): 209. for j in range(123): 210. if a333[i] == j+1: 211. jin333[j] += 1 212. 213. a2 = list(data_1a['企业代号']) 214. for i in range(len(a2)): 215. a2[i] = num_trans(a2[i]) 216. data_1a['企业代号'] = a2 217. 218. # 根据企业代号排序 219. data_1a = data_1a.sort_values(['企业代号'], ascending = True) 220. 221. #精度问题,四舍五入保留两位小数 222. from decimal import Decimal, ROUND_HALF_UP 223. def round_up(number, num_digits): 224. """ 225. 按指定位数对数值进行四舍五入。 226. :param number:要四舍五入的数字。 227. :param num_digits:要进行四舍五入运算的位数。 228. """ 229. if num_digits > 0: 230. res = round_up(number * 10, num_digits - 1) / 10 231. else: 232. res = Decimal(number * 10 ** num_digits).quantize(Decimal('1'), rounding=ROUND_HALF_UP) * 10 ** -num_digits 233. return res 234. 235. jin21 = [0 for index in range(123)];jin22 = [0 for index in range(123)];jin23 = [0 for index in range(123)] 236. jin31 = [0 for index in range(123)];jin32 = [0 for index in range(123)];jin33 = [0 for index in range(123)] 237. for i in range(123): 238. jin21[i] = jin211[i]*0.2 +jin221[i]*0.3 + jin231[i]*0.5 #进项发票金额 239. jin22[i] = jin212[i]*0.2 +jin222[i]*0.3 + jin232[i]*0.5 + jin312[i]*0.2 +jin322[i]*0.3 + jin332[i]*0.5 #作废发票数量 240. jin23[i] = jin213[i]*0.2 +jin223[i]*0.3 + jin233[i]*0.5 + jin313[i]*0.2 +jin323[i]*0.3 + jin333[i]*0.5 #负数发票数量 241. jin31[i] = jin311[i]*0.2 +jin321[i]*0.3 + jin331[i]*0.5 #销项发票金额 242. for i in range(123): 243. jin21[i] = round_up(jin21[i],2) 244. jin31[i] = round_up(jin31[i],2) 245. 246. data_1a['进项发票金额'] = jin21 247. data_1a['作废发票数量'] = jin22 248. data_1a['负数发票数量'] = jin23 249. data_1a['销项发票金额'] = jin31 250. 251. # 进销平衡 252. ph1 = [0 for index in range(123)];ph2 = [0 for index in range(123)];ph3 = [0 for index in range(123)];ph = [0 for index in range(123)] 253. for i in range(len(ph1)): 254. ph1[i] = jin311[i]-jin211[i] 255. ph2[i] = jin321[i]-jin221[i] 256. ph3[i] = jin331[i]-jin231[i] 257. ph[i] = ph1[i]*0.2+ph2[i]*0.3+ph3[i]*0.5 258. for i in range(123): 259. ph1[i] = round_up(ph1[i],2) 260. ph2[i] = round_up(ph2[i],2) 261. ph3[i] = round_up(ph3[i],2) 262. ph[i] = round_up(ph[i],2) 263. data_1a['盈余'] = ph 264. 265. # 信誉评级量化 266. level = list(data_1a['信誉评级']) 267. for i in range(len(level)): 268. if level[i] == 'A': 269. level[i] = 0.95 270. if level[i] == 'B': 271. level[i] = 0.7 272. if level[i] == 'C': 273. level[i] = 0.5 274. if level[i] == 'D': 275. level[i] = 0 276. data_1a['信誉评级']=level 277. 278. # 行业划分量化影响力 279. a = list(data_1a['企业类别']) 280. for i in range(len(a)): 281. if a[i] == 1: 282. a[i] = 0.15 283. if a[i] == 2: 284. a[i] = 0.3 285. if a[i] == 3: 286. a[i] = 0.55 287. data_1a['企业类别'] = a 288. 289. data_1a.rename(columns={'企业类别':'影响力'}, inplace = True) 290. 291. # 极小型指标转化为极大型指标 292. max(data_1a['作废发票数量'])#660.0 293. max(data_1a['负数发票数量'])#1450.7 294. data_1a['作废发票数量'] = 660.0-data_1a['作废发票数量'] 295. data_1a['负数发票数量'] = 1450.70-data_1a['负数发票数量'] 296. 297. #保存文件 298. data_1a.to_excel('附件一处理后的数据.xlsx')

程序二.问题一模型建立

1. import numpy as np 2. import pandas as pd 3. df_=pd.read_excel('附件一标准化后的数据.xlsx') 4. 5. df1 = df_.loc[:,['Z作废发票数量','Z负数发票数量','Z影响力','Z盈余','Z信誉评级']] 6. df1.columns = [0,1,2,3,4] 7. 8. # 信誉得分权重 9. from scipy.sparse.linalg import eigs 10. from numpy import array, hstack 11. a=array([[1,1/2,1/4,1/7,1/6],[2,1,1/3,1/6,1/5],[4,3,1,1/5,1/4], 12. [7,6,5,1,3],[6,5,4,1/3,1]]) 13. L,V=eigs(a,1); 14. CR=(L-5)/4/1.12 #计算矩阵A的一致性比率 15. W=V/sum(V); print("最大特征值为:",L) 16. print("最大特征值对应的特征向量W=\n",W) 17. print("CR=",CR) 18. 19. # 信誉得分权重 20. a = np.array([[1,1/2,1/4,1/7,1/6],[2,1,1/3,1/6,1/5],[4,3,1,1/5,1/4], 21. [7,6,5,1,3],[6,5,4,1/3,1]]) 22. a1 = np.zeros((5,5)) 23. for i in range(len(a)): 24. for j in range(len(a[i])): 25. a1[i][j] = a[i][j]/(a[0][j]+a[1][j]+a[2][j]+a[3][j]+a[4][j]) 26. print('a1:{}'.format(a1)) 27. 28. v = np.zeros(5) 29. for i in range(len(a1)): 30. v[i] = sum(a1[i]) 31. print('v:{}'.format(v)) 32. 33. w = np.zeros(5) 34. for i in range(len(a1)): 35. w[i] = v[i]/sum(v) 36. w = w.reshape(5,1) 37. print('w:{}'.format(w)) 38. 39. aw = np.dot(a,w) 40. print('aw:{}'.format(aw)) 41. 42. l = 0 43. for i in range(len(aw)): 44. l+=aw[i]/(len(aw)*w[i]) 45. print('l:{}'.format(l)) 46. 47. ci = (l-len(aw))/(len(aw)-1) 48. print('ci:{}'.format(ci)) 49. 50. ri = 1.12 51. cr = ci/ri 52. print('cr:{}'.format(cr)) 53. 54. w = [0.0439,0.0660,0.1301,0.4804,0.2796] 55. score = [0 for index in range(123)] 56. for j in range(len(w)): 57. for i in range(123): 58. score[i] += df1[j][i]*w[j] 59. 60. sum(w) #检验权重之和为1 61. 62. df_['信贷安全得分'] = score 63. 64. # 删除信誉评级为D的客户并查看还有多少客户量 65. df = df_.drop(df_[(df_['信誉评级']==0)].index) 66. df.shape #99 67. 68. # 信誉得分 69. score1 = [0 for i in range(99)] 70. score2 = list(df['信誉评级']) 71. for i in range(len(score1)): 72. if score2[i] == 0.95: 73. score1[i] = 0.0465 74. if score2[i] == 0.7 or score2[i] == 0.5: 75. score1[i] = 0.0585 76. # if score2[i] == 0: 77. # score1[i] = nan 78. df['信誉年利率'] = score1 79. 80. # 信贷安全年利率 81. df2 = df.sort_values(by='信贷安全得分',ascending=False) 82. 83. # 利率函数计算 84. from sympy import * 85. x = symbols('x') 86. y = (x+0.304746)*((0.04-0.15)/(0.909247+0.304746))+0.15 87. 88. # 根据利率函数插值 89. x1 = list(df2['信贷安全得分']) 90. y1 = [0 for index in range(len(x1))] 91. for i in range(len(y1)): 92. y1[i] = y.subs(x,x1[i]) 93. df2['信贷安全年利率'] = y1 94. 95. # 利率 保留4位小数(看附件三是四位小数) 96. rate = [0 for index in range(99)] 97. rate1 = list(df2['信誉年利率']);rate2 = list(df2['信贷安全年利率']) 98. for i in range(99): 99. rate[i] = rate1[i]*0.25+rate2[i]*0.75 100. rate[i] = round(rate[i],4) 101. 102. #E1,E4与实际差距较大,故而单独分析 103. rate[0] = 0.09 104. df2['年利率'] = rate 105. df2['年利率'] = df2['年利率']*100 106. df2.rename(columns={'年利率':'年利率(%)'}, inplace = True) 107. 108. df3 = df.loc[:,['Z信誉评级','Z盈余','Z进项发票金额']] 109. df3.columns = [0,1,2] 110. 111. # 信誉得分权重 112. a = np.array([[1,3,1/2],[1/3,1,1/5],[2,5,1]]) 113. a1 = np.zeros((3,3)) 114. for i in range(len(a)): 115. for j in range(len(a[i])): 116. a1[i][j] = a[i][j]/(a[0][j]+a[1][j]+a[2][j]) 117. print('a1:{}'.format(a1)) 118. 119. v = np.zeros(3) 120. for i in range(len(a1)): 121. v[i] = sum(a1[i]) 122. print('v:{}'.format(v)) 123. 124. w = np.zeros(3) 125. for i in range(len(a1)): 126. w[i] = v[i]/sum(v) 127. w = w.reshape(3,1) 128. print('w:{}'.format(w)) 129. 130. aw = np.dot(a,w) 131. print('aw:{}'.format(aw)) 132. 133. l = 0 134. for i in range(len(aw)): 135. l+=aw[i]/(len(aw)*w[i]) 136. print('l:{}'.format(l)) 137. 138. ci = (l-len(aw))/(len(aw)-1) 139. print('ci:{}'.format(ci)) 140. 141. ri = 1.12 142. cr = ci/ri 143. print('cr:{}'.format(cr)) 144. 145. # 额度得分 146. w = [0.3092,0.1096,0.5812] 147. score = [0 for index in range(99)] 148. for j in range(len(w)): 149. for i in range(99): 150. score[i] += df1[j][i]*w[j] 151. for i in range(len(score)): 152. score[i]+=1.4981055297610921 153. 154. df2['额度得分'] = score 155. 156. sum(w) #检验权重相加=1 157. 158. # 按额度得分排序 159. df3 = df2.sort_values(by='额度得分',ascending=False) 160. 161. # 企业 162. x = [] 163. for i in range(1,100): 164. x.append(i) 165. # 额度得分 166. y = list(df3['额度得分']) 167. 168. #绘图 #我的编译器这块代码需要运行两次才能出图 169. import matplotlib.pyplot as plt 170. import matplotlib 171. from matplotlib import font_manager 172. my_font=font_manager.FontProperties(fname='C:\Windows\Fonts\msyh.ttc',size=10) #fname字体路径,本电脑 173. plt.plot(x,y) 174. #绘制网格 175. plt.grid(alpha=0.4) 176. #标题 177. plt.xlabel('企业代号',fontproperties=my_font) 178. plt.ylabel('额度得分',fontproperties=my_font) 179. plt.title('各企业额度得分',fontproperties=my_font,color='black',size=15) 180. #显示 181. plt.show() 182. 183. # 额度 184. M = symbols('M') 185. y_sum = sum(y) 186. y1 = [0 for index in range(99)] 187. for i in range(len(y)): 188. y1[i] = round(y[i]/y_sum,4)*M 189. 190. df3['额度(万)'] = y1 191. 192. df4 = df3.loc[:,['企业代号','企业名称','年利率(%)','额度(万)']] 193. df4 = df3.loc[:,['企业代号','信誉年利率','信贷安全年利率','额度得分','年利率(%)','额度(万)']] 194. df4 = pd.merge(df_,df4,how = 'left',on='企业代号') 195. df4.fillna(0) 196. 197. df4.to_excel('123家企业各项指标及得分.xlsx') 198. 199. # 结果 200. df5 = df4.loc[:,['企业代号','企业名称','年利率(%)','额度(万)']] 201. df5.to_excel('针对123家企业的贷款策略.xlsx')

程序三.附件二数据处理

1. #导包 2. import pandas as pd 3. import numpy as np 4. 5. #文件 6. file_path='302家无信贷记录企业的相关数据及产业分类.xlsx' 7. #读取sheet的名字 8. sheetName1='企业信息' 9. sheetName2='进项发票信息' 10. sheetName3='销项发票信息' 11. data_1=pd.read_excel(file_path,sheet_name=sheetName1) 12. data_2=pd.read_excel(file_path,sheet_name=sheetName2) 13. data_3=pd.read_excel(file_path,sheet_name=sheetName3) 14. 15. # 拷贝一下,老写错代码,导数据真慢 16. data_1a=data_1.copy(deep=True) 17. data_2a=data_2.copy(deep=True) 18. data_3a=data_3.copy(deep=True) 19. 20. #时间转化为整型以方便比较,分类 21. def time_trans(time_ch): 22. year = time_ch.split('-')[0] 23. month = time_ch.split('-')[1] 24. day = time_ch.split('-')[2].split(' ')[0] 25. new_date = (year + month + day ) 26. return int(new_date) 27. 28. a = list(data_2a['开票日期']) 29. for i in range(len(data_2a['开票日期'])): 30. a[i] = str(a[i]) 31. a[i] = time_trans(a[i]) 32. data_2a['开票日期'] = a 33. 34. # 企业代号转化为整型 35. def num_trans(num_ch): 36. num = num_ch.split('E')[1] 37. return int(num) 38. a2 = list(data_2a['企业代号']) 39. for i in range(len(a2)): 40. a2[i] = num_trans(a2[i]) 41. 42. data_2a['企业代号'] = a2 43. 44. data_21 = data_2a.loc[data_2a['开票日期']<20180101] #18年之前 45. data_22 = data_2a.loc[(data_2a['开票日期']>=20180101) & (data_2a['开票日期']<20190101)] #18年 46. data_23 = data_2a.loc[data_2a['开票日期']>=20190101] #19年及之后 47. # 18年之前 48. data_211 = data_21.loc[(data_21['发票状态']=='有效发票') & (data_21['价税合计']>0)] 49. data_212 = data_21.loc[data_21['发票状态']=='作废发票'] 50. data_213 = data_21.loc[(data_21['发票状态']=='有效发票') & (data_21['价税合计']<0)] 51. # 18年 52. data_221 = data_22.loc[(data_22['发票状态']=='有效发票') & (data_22['价税合计']>0)] 53. data_222 = data_22.loc[data_22['发票状态']=='作废发票'] 54. data_223 = data_22.loc[(data_22['发票状态']=='有效发票') & (data_22['价税合计']<0)] 55. # 19年及之后 56. data_231 = data_23.loc[(data_23['发票状态']=='有效发票') & (data_23['价税合计']>0)] 57. data_232 = data_23.loc[data_23['发票状态']=='作废发票'] 58. data_233 = data_23.loc[(data_23['发票状态']=='有效发票') & (data_23['价税合计']<0)] 59. 60. jin211 = [0 for index in range(302)] #存放18年之前每家企业的进项有效发票金额 61. a211 = list(data_211['企业代号']);b211 = list(data_211['价税合计']) 62. for i in range(len(a211)): 63. for j in range(302): 64. if a211[i] == j+124: 65. jin211[j] += b211[i] 66. 67. jin212 = [0 for index in range(302)] #存放18年之前每家企业的进项作废发票数量 68. a212 = list(data_212['企业代号']);b212 = list(data_212['价税合计']) 69. for i in range(len(a212)): 70. for j in range(302): 71. if a212[i] == j+124: 72. jin212[j] += 1 73. 74. jin213 = [0 for index in range(302)] #存放18年之前每家企业的进项负数发票数量 75. a213 = list(data_213['企业代号']);b213 = list(data_213['价税合计']) 76. for i in range(len(a213)): 77. for j in range(302): 78. if a213[i] == j+124: 79. jin213[j] += 1 80. 81. jin221 = [0 for index in range(302)] #存放18年每家企业的进项有效发票金额 82. a221 = list(data_221['企业代号']);b221 = list(data_221['价税合计']) 83. for i in range(len(a221)): 84. for j in range(302): 85. if a221[i] == j+124: 86. jin221[j] += b221[i] 87. 88. jin222 = [0 for index in range(302)] #存放18年每家企业的进项作废发票数量 89. a222 = list(data_222['企业代号']);b222 = list(data_222['价税合计']) 90. for i in range(len(a222)): 91. for j in range(302): 92. if a222[i] == j+124: 93. jin222[j] += 1 94. 95. jin223 = [0 for index in range(302)] #存放18年每家企业的进项负数发票数量 96. a223 = list(data_223['企业代号']);b223 = list(data_223['价税合计']) 97. for i in range(len(a223)): 98. for j in range(302): 99. if a223[i] == j+124: 100. jin223[j] += 1 101. 102. jin231 = [0 for index in range(302)] #存放19年及之后每家企业的进项有效发票金额 103. a231 = list(data_231['企业代号']);b231 = list(data_231['价税合计']) 104. for i in range(len(a231)): 105. for j in range(302): 106. if a231[i] == j+124: 107. jin231[j] += b231[i] 108. 109. jin232 = [0 for index in range(302)] #存放19年及之后每家企业的进项作废发票数量 110. a232 = list(data_232['企业代号']);b232 = list(data_232['价税合计']) 111. for i in range(len(a232)): 112. for j in range(302): 113. if a232[i] == j+124: 114. jin232[j] += 1 115. 116. jin233 = [0 for index in range(302)] #存放19年及之后每家企业的进项负数发票数量 117. a233 = list(data_213['企业代号']);b233 = list(data_233['价税合计']) 118. for i in range(len(a233)): 119. for j in range(302): 120. if a233[i] == j+124: 121. jin233[j] += 1 122. 123. a2 = list(data_3a['企业代号']) 124. for i in range(len(a2)): 125. a2[i] = num_trans(a2[i]) 126. 127. data_3a['企业代号'] = a2 128. 129. a = list(data_3a['开票日期']) 130. for i in range(len(data_3a['开票日期'])): 131. a[i] = str(a[i]) 132. 133. for i in range(len(a)): 134. a[i] = time_trans(a[i]) 135. data_3a['开票日期'] = a 136. 137. data_31 = data_3a.loc[data_3a['开票日期']<20180101] #18年之前 138. data_32 = data_3a.loc[(data_3a['开票日期']>=20180101) & (data_3a['开票日期']<20190101)] #18年 139. data_33 = data_3a.loc[data_3a['开票日期']>=20190101] #19年及之后 140. # 18年之前 141. data_311 = data_31.loc[(data_31['发票状态']=='有效发票') & (data_31['价税合计']>0)] 142. data_312 = data_31.loc[data_31['发票状态']=='作废发票'] 143. data_313 = data_31.loc[(data_31['发票状态']=='有效发票') & (data_31['价税合计']<0)] 144. # 18年 145. data_321 = data_32.loc[(data_32['发票状态']=='有效发票') & (data_32['价税合计']>0)] 146. data_322 = data_32.loc[data_32['发票状态']=='作废发票'] 147. data_323 = data_32.loc[(data_32['发票状态']=='有效发票') & (data_32['价税合计']<0)] 148. # 19年及之后 149. data_331 = data_33.loc[(data_33['发票状态']=='有效发票') & (data_33['价税合计']>0)] 150. data_332 = data_33.loc[data_33['发票状态']=='作废发票'] 151. data_333 = data_33.loc[(data_33['发票状态']=='有效发票') & (data_33['价税合计']<0)] 152. 153. jin311 = [0 for index in range(302)] #存放18年之前每家企业的销项有效发票金额 154. a311 = list(data_311['企业代号']);b311 = list(data_311['金额']) 155. for i in range(len(a311)): 156. for j in range(302): 157. if a311[i] == j+124: 158. jin311[j] += b311[i] 159. 160. jin312 = [0 for index in range(302)] #存放18年之前每家企业的销项作废发票数量 161. a312 = list(data_312['企业代号']);b312 = list(data_312['金额']) 162. for i in range(len(a312)): 163. for j in range(302): 164. if a312[i] == j+124: 165. jin312[j] += 1 166. 167. jin313 = [0 for index in range(302)] #存放18年之前每家企业的销项负数发票数量 168. a313 = list(data_313['企业代号']);b313 = list(data_313['金额']) 169. for i in range(len(a313)): 170. for j in range(302): 171. if a313[i] == j+124: 172. jin313[j] += 1 173. 174. jin321 = [0 for index in range(302)] #存放18年每家企业的销项有效发票金额 175. a321 = list(data_321['企业代号']);b321 = list(data_321['金额']) 176. for i in range(len(a321)): 177. for j in range(302): 178. if a321[i] == j+124: 179. jin321[j] += b321[i] 180. 181. jin322 = [0 for index in range(302)] #存放18年每家企业的销项作废发票数量 182. a322 = list(data_322['企业代号']);b322 = list(data_322['金额']) 183. for i in range(len(a322)): 184. for j in range(302): 185. if a322[i] == j+124: 186. jin322[j] += 1 187. 188. jin323 = [0 for index in range(302)] #存放18年每家企业的销项负数发票数量 189. a323 = list(data_323['企业代号']);b323 = list(data_323['金额']) 190. for i in range(len(a323)): 191. for j in range(302): 192. if a323[i] == j+124: 193. jin323[j] += 1 194. 195. jin331 = [0 for index in range(302)] #存放19年及之后每家企业的销项有效发票金额 196. a331 = list(data_331['企业代号']);b331 = list(data_331['金额']) 197. for i in range(len(a331)): 198. for j in range(302): 199. if a331[i] == j+124: 200. jin331[j] += b331[i] 201. 202. jin332 = [0 for index in range(302)] #存放19年及之后每家企业的销项作废发票数量 203. a332 = list(data_332['企业代号']);b332 = list(data_332['金额']) 204. for i in range(len(a332)): 205. for j in range(302): 206. if a332[i] == j+124: 207. jin332[j] += 1 208. 209. jin333 = [0 for index in range(302)] #存放19年及之后每家企业的销项负数发票数量 210. a333 = list(data_333['企业代号']);b333 = list(data_333['金额']) 211. for i in range(len(a333)): 212. for j in range(302): 213. if a333[i] == j+124: 214. jin333[j] += 1 215. 216. a2 = list(data_1a['企业代号']) 217. for i in range(len(a2)): 218. a2[i] = num_trans(a2[i]) 219. 220. data_1a['企业代号'] = a2 221. 222. # 根据企业代号排序 223. data_1a = data_1a.sort_values(['企业代号'], ascending = True) 224. 225. #精度问题,四舍五入保留两位小数 226. from decimal import Decimal, ROUND_HALF_UP 227. def round_up(number, num_digits): 228. """ 229. 按指定位数对数值进行四舍五入。 230. :param number:要四舍五入的数字。 231. :param num_digits:要进行四舍五入运算的位数。 232. """ 233. if num_digits > 0: 234. res = round_up(number * 10, num_digits - 1) / 10 235. else: 236. res = Decimal(number * 10 ** num_digits).quantize(Decimal('1'), rounding=ROUND_HALF_UP) * 10 ** -num_digits 237. return res 238. 239. jin21 = [0 for index in range(302)];jin22 = [0 for index in range(302)];jin23 = [0 for index in range(302)] 240. jin31 = [0 for index in range(302)];jin32 = [0 for index in range(302)];jin33 = [0 for index in range(302)] 241. for i in range(302): 242. jin21[i] = jin211[i]*0.2 +jin221[i]*0.3 + jin231[i]*0.5 #进项发票金额 243. jin22[i] = jin212[i]*0.2 +jin222[i]*0.3 + jin232[i]*0.5 + jin312[i]*0.2 +jin322[i]*0.3 + jin332[i]*0.5 #作废发票数量 244. jin23[i] = jin213[i]*0.2 +jin223[i]*0.3 + jin233[i]*0.5 + jin313[i]*0.2 +jin323[i]*0.3 + jin333[i]*0.5 #负数发票数量 245. jin31[i] = jin311[i]*0.2 +jin321[i]*0.3 + jin331[i]*0.5 #销项发票金额 246. for i in range(302): 247. jin21[i] = round_up(jin21[i],2) 248. jin31[i] = round_up(jin31[i],2) 249. 250. data_1a['进项发票金额'] = jin21 251. data_1a['作废发票数量'] = jin22 252. data_1a['负数发票数量'] = jin23 253. data_1a['销项发票金额'] = jin31 254. 255. # 进销平衡 256. ph1 = [0 for index in range(302)];ph2 = [0 for index in range(302)];ph3 = [0 for index in range(302)];ph = [0 for index in range(302)] 257. for i in range(len(ph1)): 258. ph1[i] = jin311[i]-jin211[i] 259. ph2[i] = jin321[i]-jin221[i] 260. ph3[i] = jin331[i]-jin231[i] 261. ph[i] = ph1[i]*0.2+ph2[i]*0.3+ph3[i]*0.5 262. for i in range(302): 263. ph1[i] = round_up(ph1[i],2) 264. ph2[i] = round_up(ph2[i],2) 265. ph3[i] = round_up(ph3[i],2) 266. ph[i] = round_up(ph[i],2) 267. data_1a['盈余'] = ph 268. 269. # 行业划分量化影响力 270. a = list(data_1a['企业类别']) 271. for i in range(len(a)): 272. if a[i] == 1: 273. a[i] = 0.2 274. if a[i] == 2: 275. a[i] = 0.8 276. if a[i] == 3: 277. a[i] = 0.2 278. if a[i] == 4: 279. a[i] = 0.45 280. if a[i] == 5: 281. a[i] = 0.65 282. if a[i] == 6: 283. a[i] = 0.55 284. if a[i] == 7: 285. a[i] = 0.4 286. data_1a['企业类别'] = a 287. data_1a.head() 288. 289. data_1a.rename(columns={'企业类别':'影响力'}, inplace = True) 290. 291. # 极小型指标转化为极大型指标 292. max(data_1a['作废发票数量'])#1077.9 293. max(data_1a['负数发票数量'])#179.1 294. data_1a['作废发票数量'] = 1077.9-data_1a['作废发票数量'] 295. data_1a['负数发票数量'] = 179.1-data_1a['负数发票数量'] 296. 297. data_1a.to_excel('附件二处理后的数据.xlsx')

程序四.问题二模型建立

1. #导包,文件 2. import numpy as np 3. import pandas as pd 4. df=pd.read_excel('附件二标准化后的数据.xlsx') 5. 6. df1 = df.loc[:,['Z作废发票数量','Z负数发票数量','Z盈余','Z影响力']] 7. df1.columns = [0,1,2,3] 8. 9. # 信誉得分权重 10. a = np.array([[1,1/2,1/7,1/4],[2,1,1/6,1/3],[7,6,1,4],[4,3,1/4,1]]) 11. a1 = np.zeros((4,4)) 12. for i in range(len(a)): 13. for j in range(len(a[i])): 14. a1[i][j] = a[i][j]/(a[0][j]+a[1][j]+a[2][j]+a[3][j]) 15. print('a1:{}'.format(a1)) 16. 17. v = np.zeros(4) 18. for i in range(len(a1)): 19. v[i] = sum(a1[i]) 20. print('v:{}'.format(v)) 21. 22. w = np.zeros(4) 23. for i in range(len(a1)): 24. w[i] = v[i]/sum(v) 25. w = w.reshape(4,1) 26. print('w:{}'.format(w)) 27. 28. aw = np.dot(a,w) 29. print('aw:{}'.format(aw)) 30. 31. l = 0 32. for i in range(len(aw)): 33. l+=aw[i]/(len(aw)*w[i]) 34. print('l:{}'.format(l)) 35. 36. ci = (l-len(aw))/(len(aw)-1) 37. print('ci:{}'.format(ci)) 38. 39. ri = 1.12 40. cr = ci/ri 41. print('cr:{}'.format(cr)) 42. 43. w = [0.0639,0.1012,0.6072,0.2277] 44. score = [0 for index in range(len(df1[1]))] 45. for j in range(len(w)): 46. for i in range(len(df1[1])): 47. score[i] += df1[j][i]*w[j] 48. 49. sum(w) #检验权重之和为1 50. 51. df['信贷安全得分'] = score 52. 53. # 信誉得分排序 54. df2 = df.sort_values(by='信贷安全得分',ascending=False) 55. 56. # 利率函数计算 57. from sympy import * 58. x = symbols('x') 59. y = (x+1.331047)*((0.04-0.15)/(1.504037+1.331047))+0.15 60. 61. # 根据利率函数插值 62. x1 = list(df2['信贷安全得分']) 63. y1 = [0 for index in range(len(x1))] 64. for i in range(len(y1)): 65. y1[i] = y.subs(x,x1[i]) 66. y1[i] = round(y1[i],4) 67. for i in range(len(y1)): 68. if y1[i]<0.04: 69. y1[i] = 0.04 70. if y1[i]>0.15: 71. y1[i] = 0.15 72. 73. df2['年利率(%)'] = y1 74. df2['年利率(%)'] = df2['年利率(%)']*100 75. 76. df3 = df2.loc[:,['Z盈余','Z进项发票金额']] 77. df3.columns = [0,1] 78. 79. # 额度得分 80. w = [0.65,0.35] 81. score = [0 for index in range(len(df3))] 82. for j in range(len(w)): 83. for i in range(len(df3)): 84. score[i] += df3.iloc[i,j]*w[j] 85. 86. df2['额度得分'] = score 87. 88. sum(w) #检验权重相加=1 89. 90. # 按额度得分排序 91. df3 = df2.sort_values(by='额度得分',ascending=False) 92. 93. score = list(df3['额度得分']) 94. # print(score) 95. min(score) #-0.9139382826107219 96. for i in range(len(score)): 97. score[i] += 0.9139382826107219 98. # score 99. limit = [ 0 for i in range(len(score))] 100. for i in range(len(score)): 101. if score[i]>3: 102. limit[i] = 100 103. # print(score) 104. s = sum(score[5:]) 105. for i in range(5,len(score)): 106. limit[i] = (score[i]/s)*9500 107. 108. for i in range(len(limit)): 109. if limit[i]>100: 110. limit[i] = 100 111. if limit[i]<10: 112. limit[i] = 0 113. limit[-5] = 10 114. 115. sum(limit) #检验总额度 116. 117. # 企业 118. x = [] 119. for i in range(124,426): 120. x.append(i) 121. # 额度得分 122. y = list(df3['额度得分']) 123. #绘图 124. import matplotlib.pyplot as plt 125. import matplotlib 126. from matplotlib import font_manager 127. my_font=font_manager.FontProperties(fname='C:\Windows\Fonts\msyh.ttc',size=10) #fname字体路径,本电脑 128. plt.plot(x,y) 129. #绘制网格 130. plt.grid(alpha=0.4) 131. #标题 132. plt.xlabel('企业代号',fontproperties=my_font) 133. plt.ylabel('额度得分',fontproperties=my_font) 134. plt.title('各企业额度得分',fontproperties=my_font,color='black',size=15) 135. #显示 136. plt.show() 137. 138. df3['额度(万)'] = limit 139. 140. df3.to_excel('302家企业各项指标及得分.xlsx') 141. 142. # 结果 143. df4 = df3.loc[:,['企业代号','企业名称','年利率(%)','额度(万)']] 144. df4.to_excel('针对302家企业的贷款策略.xlsx')

程序五.疫情影响下的信贷策略

1. import pandas as pd 2. import numpy as np 3. data = pd.read_excel('302家企业各项指标及得分及细分产业.xlsx') 4. 5. classify = list(data['产业细分']) 6. influence = [0 for index in range(len(classify))] 7. add = [0 for index in range(len(classify))] 8. for i in range(len(classify)): 9. if classify[i] == 1: 10. influence[i] = -0.028 ; add[i] = 0.034 11. if classify[i] == 2: 12. influence[i] = -0.085 ; add[i] = 0.041 13. if classify[i] == 3: 14. influence[i] = -0.102 ; add[i] = 0.044 15. if classify[i] == 4: 16. influence[i] = -0.175 ; add[i] = 0.078 17. if classify[i] == 5: 18. influence[i] = -0.178 ; add[i] = 0.012 19. if classify[i] == 6: 20. influence[i] = -0.140 ; add[i] = 0.017 21. if classify[i] == 7: 22. influence[i] = -0.353 ; add[i] = -0.18 23. if classify[i] == 8: 24. influence[i] = -0.243 ; add[i] = 0.048 25. if classify[i] == 9: 26. influence[i] = -0.061 ; add[i] = 0.041 27. if classify[i] == 10: 28. influence[i] = 0.132 ; add[i] = 0.057 29. if classify[i] == 11: 30. influence[i] = -0.018 ; add[i] = 0.090 31. if classify[i] == 12: 32. influence[i] = -0.114 ; add[i] = -0.053 33. if classify[i] == 13: 34. influence[i] = -0.094 ; add[i] = -0.080 35. if classify[i] == 14: 36. influence[i] = -0.316 ; add[i] = -0.102 37. if classify[i] == 15: 38. influence[i] = -0.785 ; add[i] = -0.693 39. if classify[i] == 16: 40. influence[i] = -0.028 ; add[i] = 0.034 41. if classify[i] == 17: 42. influence[i] = -2.131 ; add[i] = -1.685 43. 44. data['波动'] = influence 45. data['同期增长'] = add 46. 47. data['信贷安全得分'] = data['信贷安全得分']*((data['波动']+1)*0.6+(data['同期增长']+1)*0.4) 48. data1 = data.sort_values(by='信贷安全得分',ascending=False) 49. 50. # 利率函数计算 51. from sympy import * 52. x = symbols('x') 53. y = (x+1.211785)*((0.04-0.15)/(1.393039+1.211785))+0.15 54. 55. # 根据利率函数插值 56. x1 = list(data1['信贷安全得分']) 57. y1 = [0 for index in range(len(x1))] 58. for i in range(len(y1)): 59. y1[i] = y.subs(x,x1[i]) 60. y1[i] = round(y1[i],4) 61. 62. for i in range(len(y1)): 63. if y1[i]<0.0400: y1[i]=0.0400 64. if y1[i]>0.1500: y1[i]=0.1500 65. 66. data1['年利率'] = y1 67. data1['年利率'] = data1['年利率']*100 68. data1.rename(columns={'年利率':'年利率(%)'}, inplace = True) 69. 70. data1['额度得分'] = data1['额度得分']*((data1['波动']+1)*0.6+(data['同期增长']+1)*0.4) 71. data2 = data1.sort_values(by='额度得分',ascending=False) 72. 73. # 企业 74. x = [] 75. for i in range(1,len(y1)+1): x.append(i) 76. # 额度得分 77. y = list(data2['额度得分']) 78. #绘图 #我的编译器这块代码需要运行两次才能出图 79. import matplotlib.pyplot as plt 80. import matplotlib 81. from matplotlib import font_manager 82. my_font=font_manager.FontProperties(fname='C:\Windows\Fonts\msyh.ttc',size=10) #fname字体路径,本电脑 83. plt.plot(x,y) 84. #绘制网格 85. plt.grid(alpha=0.4) 86. #标题 87. plt.xlabel('企业代号',fontproperties=my_font) 88. plt.ylabel('额度得分',fontproperties=my_font) 89. plt.title('各企业额度得分',fontproperties=my_font,color='black',size=15) 90. #显示 91. plt.show() 92. 93. score = list(data2['额度得分']) 94. # print(score) 95. # min(score) #-0.9685167812983371 96. for i in range(len(score)): 97. score[i] += 0.9685167812983371 98. # score 99. limit = [ 0 for i in range(len(score))] 100. for i in range(len(score)): 101. if score[i]>4: 102. limit[i] = 100 103. s = sum(score[2:]) 104. for i in range(2,len(score)): 105. limit[i] = (score[i]/s)*9800 106. 107. for i in range(len(limit)): 108. if limit[i]>100: limit[i]=100 109. if limit[i]<10: limit[i]=10 110. 111. sum(limit) #检验总额度是否超过100万 112. 113. data2['额度']=limit 114. data2.rename(columns={'额度':'额度(万)'}, inplace = True) 115. 116. data3 = data2.loc[:,['企业代号','企业名称','产业细分','波动','同期增长','年利率(%)','额度(万)']] 117. data3['波动'] = data3['波动']*100 118. data3.rename(columns={'波动':'波动(%)'}, inplace = True) 119. data3['同期增长'] = data3['同期增长']*100 120. data3.rename(columns={'同期增长':'同期增长(%)'}, inplace = True) 121. 122. data3.to_excel('疫情影响下针对302家企业的贷款策略.xlsx')

思路有时间再写

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