Why does my fitness functions give me just a Pareto Set of 7 when the population is 20?

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Luis Ignacio Ruiz
Luis Ignacio Ruiz 2016-8-16
编辑： Alan Weiss 2016-8-16
Hi, I managed to get a Pareto set in every iteration of my genetic algorithm but for some reason it only gives me 7 out of 20 individuals in the Paretos set. Is it ok to give less or it could be something wrong with the fitness function?
Thank you beforehand

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Alan Weiss
Alan Weiss 2016-8-16
All that means is that of the 20 members of your population, only 7 were on the Pareto front. If you want more members on the front, use a larger population.
Alan Weiss
MATLAB mathematical toolbox documentation
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Luis Ignacio Ruiz
Luis Ignacio Ruiz 2016-8-16
Thank you for your quick answer, but why does it happen? Is it because the others aren´t good enough or is there another reason?
Thank you again
Alan Weiss
Alan Weiss 2016-8-16
编辑：Alan Weiss 2016-8-16
It means that the others were not on the Pareto front. If you don't understand how this can happen, read about how the genetic algorithm works to see that, as a population-based algorithm, not all members of a population are optimal, or even close to optimal.
Or maybe you are unsure about what a Pareto front is; if so, it is the set of noninferior solutions at the bottom of the linked page.
Alan Weiss
MATLAB mathematical toolbox documentation

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