|
| 1 | +"""README, Author - Jigyasa Gandhi(mailto:jigsgandhi97@gmail.com) |
| 2 | +Requirements: |
| 3 | + - scikit-fuzzy |
| 4 | + - numpy |
| 5 | + - matplotlib |
| 6 | +Python: |
| 7 | + - 3.5 |
| 8 | +""" |
| 9 | +# Create universe of discourse in python using linspace () |
| 10 | +import numpy as np |
| 11 | +X = np.linspace(start=0, stop=75, num=75, endpoint=True, retstep=False) |
| 12 | + |
| 13 | +# Create two fuzzy sets by defining any membership function (trapmf(), gbellmf(),gaussmf(), etc). |
| 14 | +import skfuzzy as fuzz |
| 15 | +abc1=[0,25,50] |
| 16 | +abc2=[25,50,75] |
| 17 | +young = fuzz.membership.trimf(X,abc1) |
| 18 | +middle_aged = fuzz.membership.trimf(X,abc2) |
| 19 | + |
| 20 | +# Compute the different operations using inbuilt functions. |
| 21 | +one = np.ones(75) |
| 22 | +zero = np.zeros((75,)) |
| 23 | +#1. Union = max(µA(x), µB(x)) |
| 24 | +union = fuzz.fuzzy_or(X, young, X, middle_aged)[1] |
| 25 | +#2. Intersection = min(µA(x), µB(x)) |
| 26 | +intersection = fuzz.fuzzy_and(X, young, X, middle_aged)[1] |
| 27 | +#3. Complement (A) = (1- min(µA(x)) |
| 28 | +complement_a = fuzz.fuzzy_not(young) |
| 29 | +#4. Difference (A/B) = min(µA(x),(1- µB(x))) |
| 30 | +difference = fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1] |
| 31 | +#5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))] |
| 32 | +alg_sum = young + middle_aged - (young*middle_aged) |
| 33 | +#6. Algebraic Product = (µA(x) * µB(x)) |
| 34 | +alg_product = young*middle_aged |
| 35 | +#7. Bounded Sum = min[1,(µA(x), µB(x))] |
| 36 | +bdd_sum = fuzz.fuzzy_and(X, one, X, young+middle_aged)[1] |
| 37 | +#8. Bounded difference = min[0,(µA(x), µB(x))] |
| 38 | +bdd_difference = fuzz.fuzzy_or(X, zero, X, young-middle_aged)[1] |
| 39 | + |
| 40 | +#max-min composition |
| 41 | +#max-product composition |
| 42 | + |
| 43 | + |
| 44 | +# Plot each set A, set B and each operation result using plot() and subplot(). |
| 45 | +import matplotlib.pyplot as plt |
| 46 | + |
| 47 | +plt.figure() |
| 48 | + |
| 49 | +plt.subplot(4,3,1) |
| 50 | +plt.plot(X,young) |
| 51 | +plt.title("Young") |
| 52 | +plt.grid(True) |
| 53 | + |
| 54 | +plt.subplot(4,3,2) |
| 55 | +plt.plot(X,middle_aged) |
| 56 | +plt.title("Middle aged") |
| 57 | +plt.grid(True) |
| 58 | + |
| 59 | +plt.subplot(4,3,3) |
| 60 | +plt.plot(X,union) |
| 61 | +plt.title("union") |
| 62 | +plt.grid(True) |
| 63 | + |
| 64 | +plt.subplot(4,3,4) |
| 65 | +plt.plot(X,intersection) |
| 66 | +plt.title("intersection") |
| 67 | +plt.grid(True) |
| 68 | + |
| 69 | +plt.subplot(4,3,5) |
| 70 | +plt.plot(X,complement_a) |
| 71 | +plt.title("complement_a") |
| 72 | +plt.grid(True) |
| 73 | + |
| 74 | +plt.subplot(4,3,6) |
| 75 | +plt.plot(X,difference) |
| 76 | +plt.title("difference a/b") |
| 77 | +plt.grid(True) |
| 78 | + |
| 79 | +plt.subplot(4,3,7) |
| 80 | +plt.plot(X,alg_sum) |
| 81 | +plt.title("alg_sum") |
| 82 | +plt.grid(True) |
| 83 | + |
| 84 | +plt.subplot(4,3,8) |
| 85 | +plt.plot(X,alg_product) |
| 86 | +plt.title("alg_product") |
| 87 | +plt.grid(True) |
| 88 | + |
| 89 | +plt.subplot(4,3,9) |
| 90 | +plt.plot(X,bdd_sum) |
| 91 | +plt.title("bdd_sum") |
| 92 | +plt.grid(True) |
| 93 | + |
| 94 | +plt.subplot(4,3,10) |
| 95 | +plt.plot(X,bdd_difference) |
| 96 | +plt.title("bdd_difference") |
| 97 | +plt.grid(True) |
| 98 | + |
| 99 | +plt.subplots_adjust(hspace = 0.5) |
| 100 | +plt.show() |
0 commit comments