Because i got a new router, I have to change the ip-address of the mqtt broker.
When I change it in the configuration of the mqtt-integration the ip-address has been changed in the details but the text in the icon shows the old ip-adress. Is that than just a name of the broker or is there something wrong.?
I think that the “10.0.0.31” in your snip above is just the name and that this can be changed by clicking the thre-dots and selecting “Rename”:
I agree. Mine shows
How stupid of me, completely overlooked this option. 
Thanks