fuzzy_logic.fuzzy_operations
============================

.. py:module:: fuzzy_logic.fuzzy_operations

.. autoapi-nested-parse::

   By @Shreya123714

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



Attributes
----------

.. autoapisummary::

   fuzzy_logic.fuzzy_operations.a


Classes
-------

.. autoapisummary::

   fuzzy_logic.fuzzy_operations.FuzzySet


Module Contents
---------------

.. py:class:: 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)


   .. py:method:: __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)



   .. py:method:: 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)



   .. py:method:: 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)



   .. py:method:: 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



   .. py:method:: plot()

      Plot the membership function of the fuzzy set.



   .. py:method:: 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)



   .. py:attribute:: left_boundary
      :type:  float


   .. py:attribute:: name
      :type:  str


   .. py:attribute:: peak
      :type:  float


   .. py:attribute:: right_boundary
      :type:  float


.. py:data:: a