fuzzy_logic.fuzzy_operations

By @Shreya123714

https://en.wikipedia.org/wiki/Fuzzy_set

Attributes

a

Classes

FuzzySet

A class for representing and manipulating triangular fuzzy sets.

Module Contents

class fuzzy_logic.fuzzy_operations.FuzzySet

A class for representing and manipulating triangular fuzzy sets. Attributes:

name: The name or label of the fuzzy set. left_boundary: The left boundary of the fuzzy set. peak: The peak (central) value of the fuzzy set. right_boundary: The right boundary of the fuzzy set.

Methods:

membership(x): Calculate the membership value of an input ‘x’ in the fuzzy set. union(other): Calculate the union of this fuzzy set with another fuzzy set. intersection(other): Calculate the intersection of this fuzzy set with another. complement(): Calculate the complement (negation) of this fuzzy set. plot(): Plot the membership function of the fuzzy set.

>>> sheru = FuzzySet("Sheru", 0.4, 1, 0.6)
>>> sheru
FuzzySet(name='Sheru', left_boundary=0.4, peak=1, right_boundary=0.6)
>>> str(sheru)
'Sheru: [0.4, 1, 0.6]'

>>> siya = FuzzySet("Siya", 0.5, 1, 0.7)
>>> siya
FuzzySet(name='Siya', left_boundary=0.5, peak=1, right_boundary=0.7)

# Complement Operation >>> sheru.complement() FuzzySet(name=’¬Sheru’, left_boundary=0.4, peak=0.6, right_boundary=0) >>> siya.complement() # doctest: +NORMALIZE_WHITESPACE FuzzySet(name=’¬Siya’, left_boundary=0.30000000000000004, peak=0.5,

right_boundary=0)

# Intersection Operation >>> siya.intersection(sheru) FuzzySet(name=’Siya ∩ Sheru’, left_boundary=0.5, peak=0.6, right_boundary=1.0)

# Membership Operation >>> sheru.membership(0.5) 0.16666666666666663 >>> sheru.membership(0.6) 0.0

# Union Operations >>> siya.union(sheru) FuzzySet(name=’Siya U Sheru’, left_boundary=0.4, peak=0.7, right_boundary=1.0)

__str__() → str

>>> FuzzySet("fuzzy_set", 0.1, 0.2, 0.3)
FuzzySet(name='fuzzy_set', left_boundary=0.1, peak=0.2, right_boundary=0.3)

complement() → FuzzySet

Calculate the complement (negation) of this fuzzy set. Returns:

FuzzySet: A new fuzzy set representing the complement.

>>> FuzzySet("fuzzy_set", 0.1, 0.2, 0.3).complement()
FuzzySet(name='¬fuzzy_set', left_boundary=0.7, peak=0.9, right_boundary=0.8)

intersection(other) → FuzzySet

Calculate the intersection of this fuzzy set with another fuzzy set. Args:

other: Another fuzzy set to intersect with.

Returns:

A new fuzzy set representing the intersection.

>>> FuzzySet("a", 0.1, 0.2, 0.3).intersection(FuzzySet("b", 0.4, 0.5, 0.6))
FuzzySet(name='a ∩ b', left_boundary=0.4, peak=0.3, right_boundary=0.35)

membership(x: float) → float

Calculate the membership value of an input ‘x’ in the fuzzy set. Returns:

The membership value of ‘x’ in the fuzzy set.

>>> a = FuzzySet("a", 0.1, 0.2, 0.3)
>>> a.membership(0.09)
0.0
>>> a.membership(0.1)
0.0
>>> a.membership(0.11)
0.09999999999999995
>>> a.membership(0.4)
0.0
>>> FuzzySet("A", 0, 0.5, 1).membership(0.1)
0.2
>>> FuzzySet("B", 0.2, 0.7, 1).membership(0.6)
0.8

plot()

Plot the membership function of the fuzzy set.

union(other) → FuzzySet

Calculate the union of this fuzzy set with another fuzzy set. Args:

other (FuzzySet): Another fuzzy set to union with.

Returns:

FuzzySet: A new fuzzy set representing the union.

>>> FuzzySet("a", 0.1, 0.2, 0.3).union(FuzzySet("b", 0.4, 0.5, 0.6))
FuzzySet(name='a U b', left_boundary=0.1, peak=0.6, right_boundary=0.35)

left_boundary: float

name: str

peak: float

right_boundary: float

fuzzy_logic.fuzzy_operations.a