There was a case where, on the occasion of the death of Yoshimitsu ASHIKAGA, the Imperial Court offered to award him the honorary title of Daijo Tenno, but eventually his son Yoshimochi ASHIKAGA refused to accept.
足利義満の死に際し、朝廷が太上天皇の尊号を贈ろうとしたという事例もあったが、最終的には子の足利義持が辞退した。