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using Gadfly
import Fuzzy


    

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xValues = -10:.01:10
yValues = Fuzzy.TriangleMF(-5,0,5)[xValues]
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [41]:

    

yValues = Fuzzy.TrapezoidMF(-3,-1,1,3)[xValues]
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [42]:

    

yValues = (Fuzzy.GaussMF(0.0,1.0)[xValues])
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [43]:

    

tt2mf = Fuzzy.TriangleType2(Fuzzy.TriangleMF(1,3,5),Fuzzy.TriangleMF(-1,3,7))
(upper,lower) = tt2mf[xValues]
plot(layer(x=xValues,ymax=upper,ymin=lower,Geom.ribbon),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line))


    

    
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In [44]:

    

gt2mf = Fuzzy.GaussType2(0,0,1,2)
(upper,lower) = gt2mf[xValues]
plot(layer(x=xValues,ymax=upper,ymin=lower,Geom.ribbon),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line))


    

    
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In [45]:

    

gt2mf = Fuzzy.GaussType2(1,0,1,1)
(upper,lower) = gt2mf[xValues]
plot(layer(x=xValues,ymax=upper,ymin=lower,Geom.ribbon),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line))


    

    
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In [46]:

    

yValues = intersect(Fuzzy.TriangleMF(-2,0,2),Fuzzy.GaussMF(1,.5))[xValues]
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [47]:

    

yValues = union(Fuzzy.TriangleMF(-2,0,2),(Fuzzy.TriangleMF(0,2,4)))[xValues]
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [48]:

    

yValues = complement(Fuzzy.TriangleMF(-2,0,2))[xValues]
plot(x=xValues,y=yValues,Geom.line)


    

    
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In [60]:

    

gt2mf = Fuzzy.GaussType2(1,0,1,1)
(upper,lower) = complement(gt2mf)[xValues]
m = mean(vcat(upper,lower),1)
plot(layer(x=xValues,y=m,ymax=upper,ymin=lower,Geom.line,Geom.ribbon),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line))


    

    
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In [50]:

    

gt2mf = Fuzzy.GaussType2(1,0,1,1)
tt2mf = Fuzzy.TriangleType2(Fuzzy.TriangleMF(1,3,5),Fuzzy.TriangleMF(-1,3,7))
(upper,lower) = (gt2mf ∪ tt2mf)[xValues]
plot(layer(x=xValues,ymax=upper,ymin=lower,Geom.ribbon),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line))


    

    
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In [59]:

    

using Colors
gt2mf = Fuzzy.GaussType2(1,0,1,1)
tt2mf = Fuzzy.TriangleType2(Fuzzy.TriangleMF(1,3,5),Fuzzy.TriangleMF(-1,3,7))
(upper,lower) = (gt2mf ∩ tt2mf)[xValues]
m = mean(vcat(upper,lower),1)
plot(x=xValues,y=m,ymax=upper,ymin=lower,Geom.line,Geom.ribbon)
#plot(layer(x=xValues,ymax=upper,ymin=lower,Geom.ribbon,Theme(lowlight_color=c->RGBA{Float32}(c.r, c.g, c.b, .15))),layer(x=xValues,y=upper,Geom.line),layer(x=xValues,y=lower,Geom.line),
#    layer(x=xValues,y=m,Geom.line,Theme(default_color=colorant"red")))


    

    
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