Implement AND function using McCulloch-Pitts neuron.
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A single layer neural network is to have six inputs and three outputs. The outputs are continuous over the range 0 to 1. Now answer the following:
i) How many neurons are required?
ii) What are the dimensions of the weight matrix?
iii) What kind of transfer function could be used?
iv) Is a bias required? Give reasons.
State whether the following statements are True or False. Give short proof or a counter example in support of your answer.
a) In the Hopfield network, the neurons belonging to the same layer receive input from the neurons of the previous layer and send their value only to the neurons of the next layer.
b) The length of chromosomes to determine the maximum value of the set:
is 12.
c) The fuzzy relation (R) given below, is an equivalence relation.
d) The Self Organizing Map (SOM) is a supervised learning technique.
e) In a single layer neural network, if , then the output is -1.
Consider the following table for the connections between input neurons and the hidden layer neurons:
| Input Neurons | Hidden Layer Neurons | Connection Weight |
| 1 | 1 | - 1 |
| 1 | 2 | - 0.1 |
| 1 | 3 | 1 |
| 2 | 1 | - 1 |
| 2 | 2 | 1 |
| 2 | 3 | 1 |
| 3 | 1 | - 0.2 |
| 3 | 2 | - 0.3 |
| 3 | 3 | - 0.6 |
Generate the population in the next iteration by using Roulette-Wheel criterion:
|
|
|
| 1 | 3.5 |
| 2 | 4.6 |
| 3 | 5 |
| 4 | 2.8 |
| 5 | 1.8 |
Computer the output for the neurons in the kohonen networks, the related data is given below:
i) Input to Kohnen neural network:
Input Neuron-1
Input Neuron-2
ii) Connected weights between the neurons are as given below:
Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
Let A and B be two Fuzzy sets as given below:
Determine the following:
i) Universe of discourse for Set A and Set B.
ii) Complements of Set A and Set B
iii)
iv)