Consider the two parents which are participating in partially mapped cross over as shown below:
Parent 1: C D | E A B |I H G F
Parent 2: A B | C D E |F G H I
Using partially mapped crossover assuming 2nd and 6th as the cross over sites, find the children solution.
Partially Mapped Crossover (PMX) is a genetic operator used in genetic algorithms for recombination. It involves selecting a subset of genes from one parent and then filling in the remaining genes from the other parent based on their relative order. The crossover sites determine the segments to be exchanged between the parents.
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Consider the fuzzy sets A and B defined on the interval ,0[ ].5 Their membership functions are:
and
Determine the membership function and graph them for each of the following:
i) Ac ,Bc
ii) A ∪B
iii) A ∩B
iv) (A ∪B)c
v) (A∩B)c
Consider the single layer perception given below:
Obtain the output for each of the following input pattern:
| Patterns | p1 | p2 | p3 | p4 |
| x1 | 1 | 0 | 1 | 1 |
| x2 | 0 | 1 | 0 | 1 |
| x3 | 0 | 1 | 1 | 1 |
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` (I1) =0.5
Input Neuron-2 (I2) =0.75
ii) Connected weights between the neurons are as given below:
I O 1.0:
1 → 1
I O 2.0:
2 → 2
I O 3.0:
1 → 2
I O 4.0
Generate the population in the next iteration by using Roulette-Wheel criterion:
| k | Fk |
| 1 | 3.5 |
| 2 | 4.6 |
| 3 | 5 |
| 4 | 2.8 |
| 5 | 1.8 |
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) A ∩B
iv) A∪B
Find the length and order of the following schema:
i) S1 =1** 0 0 *1* *
ii) S2 = *0 0 *1 * *
iii) S * * * 0 * * * *
iv) S4 = *1 * 0 1 *
Approximate the function )x(f =1+ cosπx for −1≤ x ≤ ,1 by solving 1− 2 −1network, using Back propagation algorithm. The weighted structure and initial input are as follows: (10) Weighted structures are:
The initial input is 1.
Draw the architecture of the model. Perform one iteration.