According to this comment, Jira has no plans to add the ability to have multiple resolutions for an issue. 

This means, although we can mark an Issue as 'Done', there is no easy way to mark an issue as:

• Closed - As Duplicate of another Issue.
• Close - As "Won't Do".

Without this feature we are forced to either:

• Delete the issue, (losing all the valuable digital assets that are related to it)
• Mark this issue as Done (providing misinformation to the rest of team who may, naturally, come to the conclusion that all work in the issue is completed).

Please add a feature to allow multiple resolutions in Next Gen projects.

We cannot migrate to Next Gen until such a feature is added.

Update 27 Aug 2020 — blim2@atlassian.com :

We don't expect to have resolution in Next-gen this year. However, we are targeting to support multiple "Done" statuses in Next-gen by the end of the year.