diff --git a/fuzzy_logic/fuzzy_operations.py b/fuzzy_logic/fuzzy_operations.py new file mode 100644 index 000000000..e497eabd1 --- /dev/null +++ b/fuzzy_logic/fuzzy_operations.py @@ -0,0 +1,100 @@ +"""README, Author - Jigyasa Gandhi(mailto:jigsgandhi97@gmail.com) +Requirements: + - scikit-fuzzy + - numpy + - matplotlib +Python: + - 3.5 +""" +# Create universe of discourse in python using linspace () +import numpy as np +X = 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). +import skfuzzy as fuzz +abc1=[0,25,50] +abc2=[25,50,75] +young = fuzz.membership.trimf(X,abc1) +middle_aged = fuzz.membership.trimf(X,abc2) + +# Compute the different operations using inbuilt functions. +one = np.ones(75) +zero = np.zeros((75,)) +#1. Union = max(µA(x), µB(x)) +union = fuzz.fuzzy_or(X, young, X, middle_aged)[1] +#2. Intersection = min(µA(x), µB(x)) +intersection = fuzz.fuzzy_and(X, young, X, middle_aged)[1] +#3. Complement (A) = (1- min(µA(x)) +complement_a = fuzz.fuzzy_not(young) +#4. Difference (A/B) = min(µA(x),(1- µB(x))) +difference = fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1] +#5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))] +alg_sum = young + middle_aged - (young*middle_aged) +#6. Algebraic Product = (µA(x) * µB(x)) +alg_product = young*middle_aged +#7. Bounded Sum = min[1,(µA(x), µB(x))] +bdd_sum = fuzz.fuzzy_and(X, one, X, young+middle_aged)[1] +#8. Bounded difference = min[0,(µA(x), µB(x))] +bdd_difference = 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(). +import matplotlib.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() diff --git a/requirements.txt b/requirements.txt index f5790ad53..4f6ff321c 100644 --- a/requirements.txt +++ b/requirements.txt @@ -8,6 +8,7 @@ pandas pillow pytest requests +scikit-fuzzy sklearn sympy tensorflow