Is it permissible to create an online auction website that requires a subscription fee determining the number of bids, along with setting a maximum price for the item, and how can it be made Islamically permissible?

It is permissible to participate in an auction under recognized conditions. However, imposing fees for participation may be forbidden if there is no valid reason for collecting them, such as an actual cost. If these fees are collected to amass large sums of money through this stratagem, then this is forbidden gambling, and it should be avoided unless there is an actual cost for participation and the fees are taken commensurate with that cost.