Welcome Issam, I can only give you some insights as a JPD user, hope it's helpful.
What would be the most convenient mean to organize and structure the ideas ... we don't want a flat presentation of all the ideas
We implemented a custom field called "Problem Area" which allows us to bucket ideas into larger areas to act almost like a Problem Epic of sorts. We can then create filtered views based on that field, and/or group the views by Problem Area. For context, we don't use JPD to gather "Ideas", we use them to gather, understand, and prioritise problems that we would like to move into ideation.
You could achieve the same with labels, or other types of fields too.
As we're having end to end ideas, we may have sub-ideas linked to this idea
We were also looking for this functionality, but it appears there's no hierarchy to ideas. This would help us as sometimes an idea might be so large that it needs to be broken down into smaller ideas but you still want to be able to keep the relation.
This is possible in a number of products similar to JPD.
On a more general aspect, is there a mean to link ideas between them, based on arbitrrary criterias that we would have the latitude to define?
JPD is essentially Jira under the hood, which means an Idea can be linked to other ideas (or anything else in Jira) just like you would normally. You have control over the link types. I don't believe you can control the criteria, but I'm no automation wizard.
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