Three members of North Miami’s board of adjustment who nixed a strip club’s request to serve alcohol sued the city Thursday, saying the city attorney and other officials in essence rigged the system to overturn their quasi-judicial decision.

Carol Keys, the board’s chairman, and members Holly Cohen and Michelle Garcia were three of a four-vote majority Aug. 15 to deny the request by Sunny Isles Eatery, which had won board approval to open as an adult entertainment business in June, their complaint said.