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Fix the bug in fuzzy_operations.py

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Shreya123714 2023-10-28 14:09:18 +05:30
parent 231b33ea1a
commit a7b7a9169a
1 changed files with 68 additions and 99 deletions
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57
fuzzy_logic/fuzzy_operations.py
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@ -7,18 +7,15 @@ import numpy as np
Source: https://en.wikipedia.org/wiki/Fuzzy_set
"""
class FuzzySet:
"""
A class for representing and
manipulating triangular fuzzy sets.
Attributes:
name (str): The name or label of the fuzzy set.
a (float): The left boundary of the fuzzy set.
b (float): The peak (central) value of the fuzzy set.
c (float): The right boundary of the fuzzy set.
Methods:
membership(x): Calculate the membership value
of an input 'x' in the fuzzy set.
@ -37,7 +34,6 @@ class FuzzySet:
"""
Initializes a triangular fuzzy set
with the given parameters.
Args:
name (str): The name or label of the fuzzy set.
a (float): The left boundary of the fuzzy set.
@ -64,12 +60,12 @@ class FuzzySet:
the fuzzy set.
"""
if x <= self.a or x >= self.c:
if x <= self.left_boundary or x >= self.right_boundary:
return 0
elif self.a < x <= self.b:
return (x - self.a) / (self.b - self.a)
elif self.b < x < self.c:
return (self.c - x) / (self.c - self.b)
elif self.left_boundary < x <= self.peak:
return (x - self.left_boundary) / (self.peak - self.left_boundary)
elif self.peak < x < self.right_boundary:
return (self.right_boundary - x) / (self.right_boundary - self.peak)
def union(self, other):
"""
@ -88,9 +84,9 @@ class FuzzySet:
union_name = f"{self.name} ∪ {other.name}"
return FuzzySet(
union_name,
min(self.a, other.a),
max(self.c, other.c),
(self.b + other.b) / 2,
min(self.left_boundary, other.left_boundary),
max(self.right_boundary, other.right_boundary),
(self.peak + other.peak) / 2,
)
def intersection(self, other):
@ -107,9 +103,9 @@ class FuzzySet:
intersection_name = f"{self.name} ∩ {other.name}"
return FuzzySet(
intersection_name,
max(self.a, other.a),
min(self.c, other.c),
(self.b + other.b) / 2,
max(self.left_boundary, other.left_boundary),
min(self.right_boundary, other.right_boundary),
(self.peak + other.peak) / 2,
)
def complement(self):
@ -120,7 +116,7 @@ class FuzzySet:
FuzzySet: A new fuzzy set representing the complement.
"""
complement_name = f"¬{self.name}"
return FuzzySet(complement_name, 1 - self.c, 1 - self.a, 1 - self.b)
return FuzzySet(complement_name, 1 - self.right_boundary, 1 - self.left_boundary, 1 - self.peak)
def plot(self):
"""
@ -132,31 +128,4 @@ class FuzzySet:
plt.plot(x, y, label=self.name)
def __str__(self):
return f"{self.name}: [{self.a}, {self.b}, {self.c}]"
# Example usage:
if __name__ == "__main__":
A = FuzzySet("A", 0, 0.5, 1)
B = FuzzySet("B", 0.2, 0.7, 1)
A.plot()
B.plot()
plt.xlabel("x")
plt.ylabel("Membership")
plt.legend()
plt.show()
union_ab = A.union(B)
intersection_ab = A.intersection(B)
complement_a = A.complement()
union_ab.plot()
intersection_ab.plot()
complement_a.plot()
plt.xlabel("x")
plt.ylabel("Membership")
plt.legend()
plt.show()
return f"{self.name}: [{self.left_boundary}, {self.peak}, {self.right_boundary}]"