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103 lines
2.8 KiB
Python
103 lines
2.8 KiB
Python
"""README, Author - Jigyasa Gandhi(mailto:jigsgandhi97@gmail.com)
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Requirements:
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- scikit-fuzzy
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- numpy
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- matplotlib
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Python:
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- 3.5
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"""
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import numpy as np
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import skfuzzy as fuzz
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if __name__ == "__main__":
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# Create universe of discourse in Python using linspace ()
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X = np.linspace(start=0, stop=75, num=75, endpoint=True, retstep=False)
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# Create two fuzzy sets by defining any membership function
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# (trapmf(), gbellmf(), gaussmf(), etc).
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abc1 = [0, 25, 50]
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abc2 = [25, 50, 75]
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young = fuzz.membership.trimf(X, abc1)
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middle_aged = fuzz.membership.trimf(X, abc2)
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# Compute the different operations using inbuilt functions.
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one = np.ones(75)
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zero = np.zeros((75,))
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# 1. Union = max(µA(x), µB(x))
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union = fuzz.fuzzy_or(X, young, X, middle_aged)[1]
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# 2. Intersection = min(µA(x), µB(x))
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intersection = fuzz.fuzzy_and(X, young, X, middle_aged)[1]
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# 3. Complement (A) = (1- min(µA(x))
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complement_a = fuzz.fuzzy_not(young)
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# 4. Difference (A/B) = min(µA(x),(1- µB(x)))
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difference = fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
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# 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
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alg_sum = young + middle_aged - (young * middle_aged)
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# 6. Algebraic Product = (µA(x) * µB(x))
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alg_product = young * middle_aged
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# 7. Bounded Sum = min[1,(µA(x), µB(x))]
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bdd_sum = fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
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# 8. Bounded difference = min[0,(µA(x), µB(x))]
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bdd_difference = fuzz.fuzzy_or(X, zero, X, young - middle_aged)[1]
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# max-min composition
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# max-product composition
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# Plot each set A, set B and each operation result using plot() and subplot().
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from matplotlib import pyplot as plt
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plt.figure()
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plt.subplot(4, 3, 1)
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plt.plot(X, young)
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plt.title("Young")
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plt.grid(True)
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plt.subplot(4, 3, 2)
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plt.plot(X, middle_aged)
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plt.title("Middle aged")
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plt.grid(True)
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plt.subplot(4, 3, 3)
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plt.plot(X, union)
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plt.title("union")
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plt.grid(True)
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plt.subplot(4, 3, 4)
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plt.plot(X, intersection)
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plt.title("intersection")
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plt.grid(True)
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plt.subplot(4, 3, 5)
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plt.plot(X, complement_a)
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plt.title("complement_a")
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plt.grid(True)
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plt.subplot(4, 3, 6)
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plt.plot(X, difference)
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plt.title("difference a/b")
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plt.grid(True)
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plt.subplot(4, 3, 7)
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plt.plot(X, alg_sum)
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plt.title("alg_sum")
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plt.grid(True)
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plt.subplot(4, 3, 8)
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plt.plot(X, alg_product)
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plt.title("alg_product")
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plt.grid(True)
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plt.subplot(4, 3, 9)
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plt.plot(X, bdd_sum)
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plt.title("bdd_sum")
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plt.grid(True)
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plt.subplot(4, 3, 10)
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plt.plot(X, bdd_difference)
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plt.title("bdd_difference")
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plt.grid(True)
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plt.subplots_adjust(hspace=0.5)
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plt.show()
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