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pre-commit-ci[bot] 2024-10-30 11:29:10 +00:00
parent fe0cc8dbf8
commit a05f867d5b
1 changed files with 19 additions and 7 deletions
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26
fuzzy_logic/gaussian_fuzzyset.py
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@ -11,11 +11,12 @@ from dataclasses import dataclass
import numpy as np
import matplotlib.pyplot as plt
@dataclass
class GaussianFuzzySet:
"""
A class for representing and manipulating Gaussian fuzzy sets.
Attributes:
name: The name or label of the fuzzy set.
mean: The mean value (center) of the Gaussian fuzzy set.
@ -26,7 +27,7 @@ class GaussianFuzzySet:
membership(x): Calculate the membership value of an input 'x' in the fuzzy set.
complement(): Create a new GaussianFuzzySet instance representing the complement.
plot(): Plot the membership function of the fuzzy set.
>>> fuzzy_set = GaussianFuzzySet("Medium Temperature", mean=25, std_dev=5)
>>> fuzzy_set.membership(25)
1.0
@ -45,7 +46,7 @@ class GaussianFuzzySet:
"""
Calculate the membership value of an input 'x' in the Gaussian fuzzy set.
If it's a complement set, returns 1 - the Gaussian membership.
>>> GaussianFuzzySet("Medium", 0, 1).membership(0)
1.0
>>> GaussianFuzzySet("Medium", 0, 1).membership(1)
@ -57,25 +58,34 @@ class GaussianFuzzySet:
def complement(self) -> GaussianFuzzySet:
"""
Create a new GaussianFuzzySet instance representing the complement.
>>> GaussianFuzzySet("Medium", 0, 1).complement().membership(0)
0.0
"""
return GaussianFuzzySet(f"¬{self.name}", self.mean, self.std_dev, is_complement=not self.is_complement)
return GaussianFuzzySet(
f"¬{self.name}",
self.mean,
self.std_dev,
is_complement=not self.is_complement,
)
def plot(self):
"""
Plot the membership function of the Gaussian fuzzy set.
"""
x = np.linspace(self.mean - 3 * self.std_dev, self.mean + 3 * self.std_dev, 1000)
x = np.linspace(
self.mean - 3 * self.std_dev, self.mean + 3 * self.std_dev, 1000
)
y = [self.membership(xi) for xi in x]
plt.plot(x, y, label=self.name)
plt.xlabel("x")
plt.ylabel("Membership")
plt.legend()
if __name__ == "__main__":
from doctest import testmod
testmod()
# Create an instance of GaussianFuzzySet
@ -84,7 +94,9 @@ if __name__ == "__main__":
# Display some membership values
print(f"Membership at mean (25): {fuzzy_set.membership(25)}")
print(f"Membership at 30: {fuzzy_set.membership(30)}")
print(f"Complement Membership at mean (25): {fuzzy_set.complement().membership(25)}")
print(
f"Complement Membership at mean (25): {fuzzy_set.complement().membership(25)}"
)
# Plot the Gaussian Fuzzy Set and its complement
fuzzy_set.plot()