"We've got a really strong case. Our understanding is that UK Sport doubt our Olympic medal credentials," Badminton England chief executive Adrian Christy told BBC Sport.
"However, we have players who have not only won Olympic medals but also won world tour titles and super-series titles and these are the biggest events in our sport and we are regularly beating the best in the world."
The five sports are joined by goalball and table tennis -- not supported in 2016 -- as the administrators believe these sports contain a few medal prospects for the 2020 games, according to British media.
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Apart from badminton, goalball, table tennis, archery, fencing and weightlifting will all have until Jan. 17 to bid for a reprieve.
Great Britain finished second in the medal table at the Rio Olympics, as they picked up 67 medals, including 27 gold medals.
(Reporting by Shravanth Vijayakumar in Bengaluru)
