

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=75, num=75, endpoint=True, retstep=False)

					# Create two fuzzy sets by defining any membership function
					# (trapmf(), gbellmf(), gaussmf(), etc).
					lowerCAmelCase_       	=	[0, 25, 50]
					lowerCAmelCase_       	=	[25, 50, 75]
					lowerCAmelCase_       	=	fuzz.membership.trimf(X, abca)
					lowerCAmelCase_       	=	fuzz.membership.trimf(X, abca)

					# Compute the different operations using inbuilt functions.
					lowerCAmelCase_       	=	np.ones(75)
					lowerCAmelCase_       	=	np.zeros((75,))
					# 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, 10)
					plt.plot(X, bdd_difference)
					plt.title('''bdd_difference''')
					plt.grid(True)

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


from ..utils import DummyObject, requires_backends





class 	snake_case_   (		metaclass=__A					):







			'''simple docstring'''

			SCREAMING_SNAKE_CASE     :   Union[str, Any]									=				["note_seq"]







			def __init__(     self :				Optional[int]							,   *_UpperCamelCase :				str							,   **_UpperCamelCase :				Optional[int]							)      ->Any:
									requires_backends(self							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				int							,   *_UpperCamelCase :				Any							,   **_UpperCamelCase :				List[Any]							)      ->int:
									requires_backends(cls							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				Dict							,   *_UpperCamelCase :				Optional[int]							,   **_UpperCamelCase :				Union[str, Any]							)      ->List[str]:
									requires_backends(cls							,   ['''note_seq''']							)