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[pre-commit.ci] auto fixes from pre-commit.com hooks
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fuzzy_logic/Gaussian_fuzzy_set.py

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

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