python洗衣机模糊推理实验

好的，让我们来进行一个简单的洗衣机模糊推理实验。首先，我们需要安装模糊推理库 `scikit-fuzzy`。你可以通过以下命令来安装它：

pip install scikit-fuzzy

接下来，我们需要定义输入和输出变量。在这个实验中，我们有两个输入变量：脏衣服的数量和洗衣机的容量。输出变量是洗衣粉的用量。

import numpy as np
import skfuzzy as fuzz

# 定义输入变量
dirty_clothes = np.arange(0, 11, 1)
machine_capacity = np.arange(0, 11, 1)

# 定义输出变量
detergent_amount = np.arange(0, 101, 1)

接下来，我们需要定义模糊集合。这些集合描述了输入和输出变量的模糊概念。

# 定义模糊集合
dirty_clothes_lo = fuzz.trimf(dirty_clothes, [0, 0, 5])
dirty_clothes_md = fuzz.trimf(dirty_clothes, [0, 5, 10])
dirty_clothes_hi = fuzz.trimf(dirty_clothes, [5, 10, 10])

machine_capacity_lo = fuzz.trimf(machine_capacity, [0, 0, 5])
machine_capacity_md = fuzz.trimf(machine_capacity, [0, 5, 10])
machine_capacity_hi = fuzz.trimf(machine_capacity, [5, 10, 10])

detergent_amount_lo = fuzz.trimf(detergent_amount, [0, 0, 50])
detergent_amount_md = fuzz.trimf(detergent_amount, [0, 50, 100])
detergent_amount_hi = fuzz.trimf(detergent_amount, [50, 100, 100])

现在，我们需要定义模糊规则。这些规则描述了输入变量和输出变量之间的关系。

# 定义模糊规则
rule1 = fuzz.relation_min(dirty_clothes_lo, machine_capacity_lo)
rule2 = fuzz.relation_and(dirty_clothes_md, machine_capacity_md)
rule3 = fuzz.relation_max(dirty_clothes_hi, machine_capacity_hi)

rule_lo = np.fmax(rule1, rule2)
rule_hi = rule3

# 模糊推理
detergent_amount_lo_output = np.fmin(rule_lo, detergent_amount_lo)
detergent_amount_md_output = np.fmin(rule_hi, detergent_amount_md)
detergent_amount_hi_output = rule_hi

最后，我们可以将结果可视化。

import matplotlib.pyplot as plt

# 可视化模糊集合和模糊规则
fig, (ax0, ax1, ax2) = plt.subplots(nrows=3, figsize=(8, 9))

ax0.plot(dirty_clothes, dirty_clothes_lo, 'b', linewidth=1.5, label='Low')
ax0.plot(dirty_clothes, dirty_clothes_md, 'g', linewidth=1.5, label='Medium')
ax0.plot(dirty_clothes, dirty_clothes_hi, 'r', linewidth=1.5, label='High')
ax0.set_title('Dirty Clothes')
ax0.legend()

ax1.plot(machine_capacity, machine_capacity_lo, 'b', linewidth=1.5, label='Low')
ax1.plot(machine_capacity, machine_capacity_md, 'g', linewidth=1.5, label='Medium')
ax1.plot(machine_capacity, machine_capacity_hi, 'r', linewidth=1.5, label='High')
ax1.set_title('Machine Capacity')
ax1.legend()

ax2.plot(detergent_amount, detergent_amount_lo_output, 'b', linewidth=1.5, label='Low')
ax2.plot(detergent_amount, detergent_amount_md_output, 'g', linewidth=1.5, label='Medium')
ax2.plot(detergent_amount, detergent_amount_hi_output, 'r', linewidth=1.5, label='High')
ax2.set_title('Detergent Amount')
ax2.legend()

plt.tight_layout()
plt.show()

这个实验使用模糊推理来确定洗衣机需要多少洗衣粉。模糊推理是一种基于模糊逻辑的推理方法，可以处理不确定和模糊的信息。在这个实验中，我们使用了模糊集合、模糊规则和模糊推理来实现模糊推理。