Question 17384 – NTA UGC NET Dec 2023 Paper-2
March 22, 2024NTA UGC NET Dec 2023 Paper-2
March 22, 2024NTA UGC NET Dec 2023 Paper-2
| Question 43 |
In a genetic algorithm optimization problem the fitness function is defined as f(x)=x2 -4x+4. Given a population of four individuals with values of x:{1.5, 2.0, 3.0, 4.5}. What is the fitness value of the individual that will be selected as the parent for reproduction in one generation
| 2.25 | |
| 6.0 | |
| 0.0 | |
| 6.25 |
Question 43 Explanation:
Here’s the calculation:
Evaluate the fitness function for each individual:
f(1.5) = 1.5^2 – 4*1.5 + 4 = 2.25
f(2.0) = 2.0^2 – 4*2.0 + 4 = 0.0
f(3.0) = 3.0^2 – 4*3.0 + 4 = 1.0
f(4.5) = 4.5^2 – 4*4.5 + 4 = 6.25
Identify the individual with the highest fitness value:
The highest fitness value is 6.25, which corresponds to the individual with x = 4.5.
Select the individual with the highest fitness as the parent:
In genetic algorithms, individuals with higher fitness values are more likely to be selected as parents for reproduction, as they represent better solutions to the optimization problem.
Therefore, the individual with fitness value 6.25 will be selected as the parent for reproduction in this generation.
Evaluate the fitness function for each individual:
f(1.5) = 1.5^2 – 4*1.5 + 4 = 2.25
f(2.0) = 2.0^2 – 4*2.0 + 4 = 0.0
f(3.0) = 3.0^2 – 4*3.0 + 4 = 1.0
f(4.5) = 4.5^2 – 4*4.5 + 4 = 6.25
Identify the individual with the highest fitness value:
The highest fitness value is 6.25, which corresponds to the individual with x = 4.5.
Select the individual with the highest fitness as the parent:
In genetic algorithms, individuals with higher fitness values are more likely to be selected as parents for reproduction, as they represent better solutions to the optimization problem.
Therefore, the individual with fitness value 6.25 will be selected as the parent for reproduction in this generation.
Correct Answer: D
Question 43 Explanation:
Here’s the calculation:
Evaluate the fitness function for each individual:
f(1.5) = 1.5^2 – 4*1.5 + 4 = 2.25
f(2.0) = 2.0^2 – 4*2.0 + 4 = 0.0
f(3.0) = 3.0^2 – 4*3.0 + 4 = 1.0
f(4.5) = 4.5^2 – 4*4.5 + 4 = 6.25
Identify the individual with the highest fitness value:
The highest fitness value is 6.25, which corresponds to the individual with x = 4.5.
Select the individual with the highest fitness as the parent:
In genetic algorithms, individuals with higher fitness values are more likely to be selected as parents for reproduction, as they represent better solutions to the optimization problem.
Therefore, the individual with fitness value 6.25 will be selected as the parent for reproduction in this generation.
Evaluate the fitness function for each individual:
f(1.5) = 1.5^2 – 4*1.5 + 4 = 2.25
f(2.0) = 2.0^2 – 4*2.0 + 4 = 0.0
f(3.0) = 3.0^2 – 4*3.0 + 4 = 1.0
f(4.5) = 4.5^2 – 4*4.5 + 4 = 6.25
Identify the individual with the highest fitness value:
The highest fitness value is 6.25, which corresponds to the individual with x = 4.5.
Select the individual with the highest fitness as the parent:
In genetic algorithms, individuals with higher fitness values are more likely to be selected as parents for reproduction, as they represent better solutions to the optimization problem.
Therefore, the individual with fitness value 6.25 will be selected as the parent for reproduction in this generation.
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