The most important things about badminton shoes are traction and grip. 

The right shoes depends on the court you are playing on. Most of us play on wood or PU court. Some of us could play on cement court. For those play on wood or PU court, you should choose shoes with gum rubber soles, which provide plenty of traction and grip. If you cannot find shoes designed for badminton, volleyball shoes are normally the closest replacement.

It is pretty easy for gum rubber sole to accumulate dirt. That will reduce the traction and make it slippy. I would strongly recommend you to put on the court shoes only when you are on the court to prevent the solve from getting too much dirt. Some player even have a moistured towel by the court, so they can step and rub on it from time to time to make sure the sole surface is clean and 'gummy'.

Not that many people play on cement surface. It is not as elastic as wood or PU surface. So, its better to choose proper badminton shoes for own comfort and better perfomance.