python模糊推理的应用——洗衣机为例

洗衣机的洗涤时间可以使用模糊推理来实现。下面是使用Python中的scikit-fuzzy库实现的例子：

import numpy as np
import skfuzzy as fuzz
from skfuzzy import control as ctrl

# 定义论域
sludge = ctrl.Antecedent(np.arange(0, 101, 1), 'sludge')
oil = ctrl.Antecedent(np.arange(0, 101, 1), 'oil')
wash_time = ctrl.Consequent(np.arange(0, 121, 1), 'wash_time')

# 定义隶属度函数
sludge['SD'] = fuzz.trimf(sludge.universe, [0, 0, 50])
sludge['MD'] = fuzz.trimf(sludge.universe, [0, 50, 100])
sludge['LD'] = fuzz.trimf(sludge.universe, [50, 100, 100])

oil['NG'] = fuzz.trimf(oil.universe, [0, 0, 50])
oil['MG'] = fuzz.trimf(oil.universe, [0, 50, 100])
oil['LG'] = fuzz.trimf(oil.universe, [50, 100, 100])

wash_time['VS'] = fuzz.trimf(wash_time.universe, [0, 0, 30])
wash_time['S'] = fuzz.trimf(wash_time.universe, [0, 30, 60])
wash_time['M'] = fuzz.trimf(wash_time.universe, [30, 60, 90])
wash_time['L'] = fuzz.trimf(wash_time.universe, [60, 90, 120])
wash_time['VL'] = fuzz.trimf(wash_time.universe, [90, 120, 120])

# 定义规则
rule1 = ctrl.Rule(sludge['SD'] & oil['NG'], wash_time['S'])
rule2 = ctrl.Rule(sludge['SD'] & oil['MG'], wash_time['M'])
rule3 = ctrl.Rule(sludge['SD'] & oil['LG'], wash_time['L'])
rule4 = ctrl.Rule(sludge['MD'] & oil['NG'], wash_time['S'])
rule5 = ctrl.Rule(sludge['MD'] & oil['MG'], wash_time['M'])
rule6 = ctrl.Rule(sludge['MD'] & oil['LG'], wash_time['L'])
rule7 = ctrl.Rule(sludge['LD'] & oil['NG'], wash_time['M'])
rule8 = ctrl.Rule(sludge['LD'] & oil['MG'], wash_time['L'])
rule9 = ctrl.Rule(sludge['LD'] & oil['LG'], wash_time['VL'])

# 定义控制系统
washing_ctrl = ctrl.ControlSystem([rule1, rule2, rule3, rule4, rule5, rule6, rule7, rule8, rule9])
washing = ctrl.ControlSystemSimulation(washing_ctrl)

# 输入污泥和油脂的值
washing.input['sludge'] = 30
washing.input['oil'] = 70

# 运行控制系统
washing.compute()

# 输出洗涤时间
print(washing.output['wash_time'])

# 输出洗涤时间隶属度函数
wash_time.view(sim=washing)

上述代码中，我们首先定义了论域，然后定义了隶属度函数，接着定义了规则，最后定义了控制系统。在输入污泥和油脂的值后，我们运行控制系统并输出洗涤时间。同时，我们还可以通过`wash_time.view(sim=washing)`来查看洗涤时间的隶属度函数。