Question

Which among the following is not an alternative expression for Pareto optimal?

(a) Dominated

(b) Pareto efficient

(c) Non inferior

(d) Non dominated

This question was posed to me in class test.

I'd like to ask this question from Techniques topic in chapter Cognitive Techniques of Cognitive Radio

Answer 1

The correct answer is:

(a) Dominated

In the context of optimization and decision-making, Pareto optimal (also referred to as Pareto efficient) refers to a situation where it is impossible to improve one objective without worsening another. It represents an ideal state where no further improvements can be made without sacrificing something else.

Let's look at the other terms:

• Pareto efficient: This is a direct synonym for Pareto optimal. Both terms describe a scenario where no other solution is strictly better in all objectives.

• Non inferior: This is another way of saying Pareto optimal. It refers to solutions that are not inferior to others in all dimensions; in other words, they are Pareto efficient.

• Non dominated: This is also an equivalent of Pareto optimal. A non-dominated solution cannot be outperformed in all objectives by any other solution, which is essentially what Pareto optimal means.

On the other hand:

• Dominated: A dominated solution is one that is worse than another solution in at least one objective, and does not perform better in any of the objectives. This is the opposite of Pareto optimal, making dominated the correct answer as something that is not an alternative expression for Pareto optimal.

So, the correct choice is (a) Dominated.