代码拉取完成,页面将自动刷新
from random import randint
from tkinter import Tk, Frame, Label, Entry, Text, Button, IntVar, Radiobutton, Checkbutton, messagebox, StringVar
def completion(matrix_half): # 补全半个矩阵
length = len(matrix_half)
for i in range(length):
for j in range(length):
if matrix_half[i][j] == 1 and matrix_half[j][i] != 1:
matrix_half[i][j] = 1 / matrix_half[j][i]
if i == j:
matrix_half[i][j] = 1
return matrix_half
def matrix_transpose(matrix): # 矩阵转置
return [[matrix[j][i] for j in range(len(matrix))] for i in range(len(matrix[0]))]
def matrix_multiplication(matrix_2, matrix_1): # 二维与一维的矩阵乘法
return [sum(matrix_2[j][i] * matrix_1[i] for i in range(len(matrix_1))) for j in range(len(matrix_2))]
def summation(matrix_b): # 求和法
matrix_b = matrix_transpose(matrix_b)
b_ = [[i for i in j] for j in matrix_b] # 深度copy 等同于 b = copy.deepcopy(matrix_b)
matrix_b = [[matrix_b[i][j] / sum(b_[i]) for j in range(len(matrix_b))] for i in range(len(matrix_b[0]))] # 归一化
matrix_b = matrix_transpose(matrix_b)
v = [sum(i) for i in matrix_b] # 按行求和得到v
w = [i / sum(v) for i in v] # 归一化得到w
return v, w
def rooting(matrix_b): # 求根法
def q_root(list0): # 相乘再开方
quadrature = 1
for i in list0:
quadrature *= i
root_ = quadrature ** (1 / len(list0))
return root_
v = [q_root(i) for i in matrix_b] # 按行相乘再开方
w = [i / sum(v) for i in v] # 归一化得到w
return v, w
def check(matrix_a): # 一致性检验,1求根法,0求和法
ri = {1: 0, 2: 0, 3: 0.58, 4: 0.92, 5: 1.12, 6: 1.24, 7: 1.32, 8: 1.41, 9: 1.45} # RI表
weight = rooting(matrix_a)[1] if method == 1 else summation(matrix_a)[1]
a_w = matrix_multiplication(matrix_a, weight)
lambda_max = sum([a_w[i] / weight[i] for i in range(len(weight))]) / len(a_w)
if len(a_w) > 1:
ci = (lambda_max - len(a_w)) / (len(a_w) - 1) # CI值
else:
ci = 0
ri = ri[len(a_w)] # RI值
if ri != 0:
cr = ci / ri # CR值
else:
cr = 0
best = weight.index(max(weight))
return a_w, weight, lambda_max, ci, ri, cr, best, True if cr < 0.1 else False
def check_all(matrix_, matrix_s): # 层次总排序组合一致性检验
w_ = check(matrix_)[0] # 上一层的一致性检验值
ci = sum([w_[i] * check(matrix_s[i])[3] for i in range(len(matrix_s))])
ri = sum([w_[i] * check(matrix_s[i])[4] for i in range(len(matrix_s))]) # 这一层的一致性检验值权重和
if ri != 0:
cr = ci / ri
else:
cr = 0
return cr, True if cr < 0.1 else False
def choice_best(target_, programmes_):
target_w = check(target_)[1]
programmes_w = matrix_transpose([check(i)[1] for i in programmes_])
after_w = matrix_multiplication(programmes_w, target_w)
best = after_w.index(max(after_w))
cr, check_ = check_all(target_, programmes_)
return target_w, programmes_w, after_w, best, cr, check_
def ahp_gui():
root_new = Tk()
root_new.title('AHP计算 by:wld')
frame_first = Frame(root_new)
frame_first.pack(side='top')
var_o_s, var_w_s = StringVar(), StringVar()
Label(frame_first, text='准则数:', font=('宋体', 15)).pack(side='left')
entry001 = Entry(frame_first, textvariable=var_o_s, font=("宋体", 15), fg='blue', width=3, justify='center')
var_o_s.set('4')
entry001.pack(side='left')
Label(frame_first, text='方案数:', font=('宋体', 15)).pack(side='left')
entry002 = Entry(frame_first, textvariable=var_w_s, font=("宋体", 15), fg='blue', width=3, justify='center')
var_w_s.set('5')
entry002.pack(side='left')
def third():
option = int(eval(var_o_s.get())) # 准则数
ways = int(eval(var_w_s.get())) # 方案数
random_ = check_random.get()
t_ = ['目标'] + ['目标']
t_o = ['准则'] + [i.get() for i in var_o_names]
o_w = ['方案'] + [i.get() for i in var_w_names]
f = ['1', '1/2', '2', '1/3', '3', '1/4', '4', '1/5', '5', '1/6', '6', '1/7', '7', '1/8', '8', '1/9', '9',
'1/10',
'10', '1', '1/2', '2', '1/3', '3', '1/4', '4', '1/5', '5', '1/6', '6', '1/7', '7', '1/8', '8', '1/9', '9']
def table(u, d):
frame_n_t = Frame(frame_show)
frame_n_t.pack(side='top')
for one in range(len(u) - 1):
frame_one = Frame(frame_n_t)
frame_one.pack(side='left')
frame_n = Frame(frame_one)
frame_n.pack(side='top')
num = [[Entry(frame_n, width=6, justify='center', font=("宋体", 15)) for _ in range(len(d))] for _ in d]
for row in range(len(num)):
for column in range(len(num[0])):
if row == 0 and column == 0:
num[row][column].insert('end', u[one + 1])
num[row][column].config(state='disabled', bg='gray')
elif row == 0 and column != 0:
num[row][column].insert('end', d[column])
num[row][column].config(state='disabled', bg='gray')
elif row != 0 and column == 0:
num[row][column].insert('end', d[row])
num[row][column].config(state='disabled', bg='gray')
elif row < column:
num[row][column].insert('end',
str(f[(randint(0, int(max(ways, option))))]) if random_ else '1')
else:
num[row][column].insert('end', '1')
num[row][column].config(state='disabled', bg='gray')
num[row][column].grid(row=row, column=column)
all_num.append(num)
table(t_, t_o)
if len(o_w) > 1:
table(t_o, o_w)
check_r.config(state='disabled')
for i in entry003 + entry004:
i.config(state='disabled')
button001.config(state='disabled')
frame_s = Frame(frame_show)
frame_s.pack(side='top')
Label(frame_s, text='计算方法:', font=('宋体', 15)).pack(side='left')
global m
m = IntVar()
radio3_2 = Radiobutton(frame_s, text='方根法', font=('宋体', 15), variable=m, value=1)
radio3_2.pack(side='left')
radio3_1 = Radiobutton(frame_s, text='和积法', font=('宋体', 15), variable=m, value=0)
radio3_1.pack(side='left')
radio3_2.select()
# 小数
global entry_small_num
Label(frame_s, text='显示小数:', font=('宋体', 15)).pack(side='left')
entry_small_num = Entry(frame_s, font=("宋体", 15), fg='blue', width=3, justify='center')
entry_small_num.insert(0, '4')
entry_small_num.pack(side='left')
Label(frame_s, text='位', font=('宋体', 15)).pack(side='left')
Button(frame_show, text="计算", command=solve, font=('宋体', 15)).pack(side='bottom')
def second():
frame_second = Frame(root_new)
frame_second.pack(side='top')
global var_o_names, var_w_names, check_random, check_r, entry003, entry004, button001
var_o_names = [StringVar() for _ in range(int(eval(var_o_s.get())))]
var_w_names = [StringVar() for _ in range(int(eval(var_w_s.get())))]
Label(frame_second, text='准则名', font=('宋体', 15)).pack(side='top')
entry003 = []
for i in range(len(var_o_names)):
var_o_names[i].set(f'准则{i + 1}')
entry003.append(Entry(frame_second, textvariable=var_o_names[i], font=("宋体", 15), fg='blue',
width=10, justify='center'))
for i in entry003:
i.pack(side='left')
frame_second_ = Frame(root_new)
frame_second_.pack(side='top')
Label(frame_second_, text='方案名', font=('宋体', 15)).pack(side='top')
entry004 = []
for i in range(len(var_w_names)):
var_w_names[i].set(f'方案{i + 1}')
entry004.append(Entry(frame_second_, textvariable=var_w_names[i], font=("宋体", 15), fg='blue',
width=10, justify='center'))
for i in entry004:
i.pack(side='left')
frame_second__ = Frame(root_new)
frame_second__.pack(side='top')
check_random = IntVar()
check_r = Checkbutton(frame_second__, text='随机初始化数据', variable=check_random, font=('宋体', 12))
check_r.pack(side='left')
button001 = Button(frame_second__, text="下一步", command=third, font=('宋体', 15))
button001.pack(side='left')
def first():
o_s = int(eval(var_o_s.get()))
w_s = int(eval(var_w_s.get()))
var_o_s.set(str(o_s))
var_w_s.set(str(w_s))
if (o_s <= 0) or (w_s < 0) or (o_s > 9) or (w_s > 9):
messagebox.showerror(title='错误!', message='方案数和准则数限定取值0-9!')
exit(0)
if o_s * (w_s + 1) > 36:
messagebox.showinfo(title='提示!',
message='准则和方案太多了!\n你的屏幕太小显示不过来!\n倒是也能算,只是你看不见我也没办法!')
second()
button0.config(state='disabled')
entry001.config(state='disabled')
entry002.config(state='disabled')
button0 = Button(frame_first, text="下一步", command=first, font=('宋体', 15))
button0.pack(side='left')
# 整体展示
frame_show = Frame(root_new)
frame_show.pack(side='bottom')
all_num = []
def solve():
global m, method
method = int(m.get())
option = int(eval(var_o_s.get())) # 准则数
ways = int(eval(var_w_s.get())) # 方案数
round_ = int(entry_small_num.get())
t_ = ['目标'] + ['目标']
t_o = ['准则'] + [i.get() for i in var_o_names]
o_w = ['方案'] + [i.get() for i in var_w_names]
names = ['目标/准则'] + [f'准则{i + 1}/方案' for i in range(option)]
root1 = Tk()
root1.title('运算结果 by:wld')
frame_show1 = Frame(root1)
frame_show1.pack(side='top')
number = [[[eval(i.get()) for i in j[1:]] for j in k[1:]] for k in all_num]
number = [completion(i) for i in number]
numbers = []
s = {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9', 10: '10', 11: '11',
12: '12', 13: '13', 14: '14', 15: '15', 16: '16', 17: '17', 18: '18', 19: '19', 20: '20', 21: '21',
1 / 2: "1/2", 1 / 3: '1/3', 1 / 4: '1/4', 1 / 5: '1/5', 1 / 6: '1/6', 1 / 7: '1/7', 1 / 8: '1/8',
1 / 9: '1/9', 1 / 10: '1/10', 1 / 11: '1/11', 1 / 12: '1/12', 1 / 13: '1/13', 1 / 14: '1/14',
1 / 15: '1/15', 1 / 16: '1/16', 1 / 17: '1/17', 1 / 18: '1/18', 1 / 19: '1/19', 1 / 20: '1/20',
1 / 21: '1/21'}
def table1(u, d, h=0):
frame_n_t1 = Frame(frame_show1)
frame_n_t1.pack(side='top')
for one in range(len(u) - 1):
frame_one = Frame(frame_n_t1)
frame_one.pack(side='left')
frame_nums = Frame(frame_one)
frame_nums.pack(side='top')
frame_t = Frame(frame_one)
frame_t.pack(side='left')
nu = [[Entry(frame_nums, width=6, justify='center', font=("宋体", 15)) for _ in range(len(d))] for _ in
d]
for row in range(len(nu)):
for column in range(len(nu[0])):
if row == 0 and column == 0:
nu[row][column].insert('end', u[one + 1])
elif row == 0 and column != 0:
nu[row][column].insert('end', d[column])
elif row != 0 and column == 0:
nu[row][column].insert('end', d[row])
else:
numb = (number[h][row - 1][column - 1])
try:
nu[row][column].insert('end', str(s[numb]))
except:
nu[row][column].insert('end', str(number[h][row - 1][column - 1]))
nu[row][column].grid(row=row, column=column)
h += 1
if h == 1:
global text0
text0 = Text(frame_t, font=("宋体", 15), width=6 * (len(d)), height=2 * (len(d) + 1))
text0.config(foreground='green')
text0.pack(side='right')
text = Text(frame_t, font=("宋体", 15), width=6 * (len(d)), height=2 * (len(d) + 1))
number0 = [[float(eval(i.get())) for i in j[1:]] for j in nu[1:]]
numbers.append(number0)
tip0 = ['A_w:', 'Weight:', 'λ_max:', 'CI:', 'RI:', 'CR:', 'Best:', '一致性检验:']
info0 = check(number0)
if h == 1:
text.insert('end', f'{names[0]}及一致性检验:' + '\n')
else:
text.insert('end', f'{names[h - 1]}及一致性检验:' + '\n')
for i in range(8):
if isinstance(info0[i], list):
text.insert('end', tip0[i] + str([round(j, round_) for j in info0[i]]) + '\n')
else:
if tip0[i] == 'Best:':
text.insert('end', tip0[i] + str(d[int(info0[i]) + 1]) + '\n')
else:
text.insert('end', tip0[i] + str(info0[i]) + '\n')
if not info0[-1]:
text.config(foreground='red')
text.pack()
table1(t_, t_o)
if len(o_w) > 1:
table1(t_o, o_w, h=1)
print()
tip = ['W_0:', 'W_1:', 'W_2:', 'Best:', 'CR:', '整体一致性检验:']
info = choice_best(numbers[0], numbers[1:])
text0.insert('end', '最终结果及整体一致性检验:' + '\n')
for i in range(6):
if isinstance(info[i], list):
if not isinstance(info[i][0], list):
text0.insert('end', tip[i] + str([round(j, round_) for j in info[i]]) + '\n')
else:
text0.insert('end', tip[i] + str([[round(k, round_) for k in j] for j in info[i]]) + '\n')
else:
if tip[i] == 'Best:':
text0.insert('end', tip[i] + str(o_w[int(info[i]) + 1]) + '\n')
else:
text0.insert('end', tip[i] + str(info[i]) + '\n')
if not info[-1]:
text0.config(foreground='red')
text0.pack(side='right')
root_new.mainloop()
ahp_gui()
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