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Fundamentals of Neural Networks and fuzzy logic (SE CSE)

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Max-Product

μA=0.5, μB=0.4

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Given values: (x,μ) = (1,0.5), (2,1)

z equals fraction numerator sum x mu not stretchy left parenthesis x not stretchy right parenthesis over denominator sum mu not stretchy left parenthesis x not stretchy right parenthesis end fractionz=

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Fuzzy NOT

μA = 0.6

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Fuzzy OR

μA = 0.3, μB = 0.8

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Hebbian Rule Sign

If x=1, y=-1 → Δw?

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Vector Quantization

Cluster center for [2,4] and [4,6]:

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Euclidean Distance

Between (1,2) and (4,6):

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Winner Takes All

Distances: N1=2, N2=1, N3=3

Winning neuron:

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Fuzzification converts:

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Fuzzy union uses:

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