





"""simple docstring"""
import numpy as np
import skfuzzy as fuzz

if __name__ == "__main__":
  # Create universe of discourse in Python using linspace ()
  lowerCamelCase_								=		np.linspace(start=0, stop=7_5, num=7_5, endpoint=True, retstep=False)

  # Create two fuzzy sets by defining any membership function
  # (trapmf(), gbellmf(), gaussmf(), etc).
  lowerCamelCase_								=		[0, 2_5, 5_0]
  lowerCamelCase_								=		[2_5, 5_0, 7_5]
  lowerCamelCase_								=		fuzz.membership.trimf(X, abca)
  lowerCamelCase_								=		fuzz.membership.trimf(X, abca)

  # Compute the different operations using inbuilt functions.
  lowerCamelCase_								=		np.ones(7_5)
  lowerCamelCase_								=		np.zeros((7_5,))
  # 1. Union = max(µA(x), µB(x))
  lowerCamelCase_								=		fuzz.fuzzy_or(X, young, X, middle_aged)[1]
  # 2. Intersection = min(µA(x), µB(x))
  lowerCamelCase_								=		fuzz.fuzzy_and(X, young, X, middle_aged)[1]
  # 3. Complement (A) = (1- min(µA(x))
  lowerCamelCase_								=		fuzz.fuzzy_not(young)
  # 4. Difference (A/B) = min(µA(x),(1- µB(x)))
  lowerCamelCase_								=		fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
  # 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
  lowerCamelCase_								=		young + middle_aged - (young * middle_aged)
  # 6. Algebraic Product = (µA(x) * µB(x))
  lowerCamelCase_								=		young * middle_aged
  # 7. Bounded Sum = min[1,(µA(x), µB(x))]
  lowerCamelCase_								=		fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
  # 8. Bounded difference = min[0,(µA(x), µB(x))]
  lowerCamelCase_								=		fuzz.fuzzy_or(X, zero, X, young - middle_aged)[1]

  # max-min composition
  # max-product composition

  # Plot each set A, set B and each operation result using plot() and subplot().
  from matplotlib import pyplot as plt

  plt.figure()

  plt.subplot(4, 3, 1)
  plt.plot(X, young)
  plt.title("Young")
  plt.grid(True)

  plt.subplot(4, 3, 2)
  plt.plot(X, middle_aged)
  plt.title("Middle aged")
  plt.grid(True)

  plt.subplot(4, 3, 3)
  plt.plot(X, union)
  plt.title("union")
  plt.grid(True)

  plt.subplot(4, 3, 4)
  plt.plot(X, intersection)
  plt.title("intersection")
  plt.grid(True)

  plt.subplot(4, 3, 5)
  plt.plot(X, complement_a)
  plt.title("complement_a")
  plt.grid(True)

  plt.subplot(4, 3, 6)
  plt.plot(X, difference)
  plt.title("difference a/b")
  plt.grid(True)

  plt.subplot(4, 3, 7)
  plt.plot(X, alg_sum)
  plt.title("alg_sum")
  plt.grid(True)

  plt.subplot(4, 3, 8)
  plt.plot(X, alg_product)
  plt.title("alg_product")
  plt.grid(True)

  plt.subplot(4, 3, 9)
  plt.plot(X, bdd_sum)
  plt.title("bdd_sum")
  plt.grid(True)

  plt.subplot(4, 3, 1_0)
  plt.plot(X, bdd_difference)
  plt.title("bdd_difference")
  plt.grid(True)

  plt.subplots_adjust(hspace=0.5)
  plt.show()






"""simple docstring"""
from typing import Any



def      __lowerCamelCase   (							a_     :		list							)			->      list[Any]:
      if not input_list:
            return []
      __SCREAMING_SNAKE_CASE   :int						=  [input_list.count(a_							) for value in input_list]
      __SCREAMING_SNAKE_CASE   :str						=  max(a_							)  # Gets the maximum count in the input list.
      # Gets values of modes
      return sorted({input_list[i] for i, value in enumerate(a_							) if value == y}							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()