fuzzy operations added (#1310)

* fuzzy operations added

* fuzzy inference system added

* unnecessary files removed

* requirements added

* Modified requirements for travis ci

* Modified requirements for travis ci

* Add scikit-fuzzy to requirements.txt

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()

requirements.txt

@@ -8,6 +8,7 @@ pandas
 pillow
 pytest
 requests
+scikit-fuzzy
 sklearn
 sympy
 tensorflow