Which of the following statement(s) is/are true? (Choose all options that apply)

Question

BlackTom AI · Accepted Answer

Question restatement: Which of the following statement(s) is/are true? (Choose all options that apply)

Options:
 a) Niching is required to ensure all individuals in the population converge onto one optimum point in the search space.
 b) Fitness-sharing approach artificially reduces the fitness of solutions that occur very close to each other in the search space.
 c) Crowding-based approach replaces a unique parent that is very different from other individuals in the population in order to maintain high diversity.
 d) Island-model Evolutionary Algorithms guarantee high population diversity over time.

Now let's analyze each option in turn:

Option a: Niching is required to ensure all individuals in the population converge onto one optimum point in the search space.
- This statement is misleading. Niching methods are designed to maintain multiple niches or diverse optima in the population, not to force convergence to a single optimum point. In other words, niching helps preserve diversity and can support multiple good solutions rather than constraining the population to one point. Therefore, this option is false.

Option b: Fitness-sharing approach artificially reduces the fitness of solutions that occur very close to each other in the search space.
- This is a core idea of fitness sharing: by lowering the effective fitness of nearby individuals, the method discourages clustering and promotes diversity, preventing many similar solutions from dominating the population. As such, this statement accurately describes fitness sharing, so it is true.

Option c: Crowding-based approach replaces a unique parent that is very different from other individuals in the population in order to maintain high diversity.
- Crowding strategies typically aim to preserve diversity by replacing the individual most similar to the new offspring (the crowding partner), not by replacing a unique, very different parent. Replacing a distinct individual to maintain diversity would undermine diversity, whereas crowding targets similarity to keep diverse niches. Therefore, this option is false.

Option d: Island-model Evolutionary Algorithms guarantee high population diversity over time.
- While island models can help sustain diversity by isolating subpopulations and fostering diverse evolutionary paths, they do not guarantee high diversity in all cases. Migration rates, island count, and problem characteristics influence outcomes, and diversity can still decline under certain dynamics. Thus, this option is false.

Summary: Among the four statements, only option b accurately describes a true property of fitness-sharing, while options a, c, and d contain incorrect claims or overgeneralizations.

Which of the following statement(s) is/are true? (Choose all options that apply)多项选择题

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