Three days after a small plane carrying Vittorio Missoni went missing off the coast of Venezuela, members of his family are staying optimistic that he'll be found.

"Our hope is that he is still alive," said Vittorio's sister Angela — the brand's creative director — in an interview with the Italian newspaper La Repubblica. "We want to hope, because for us it is important."

Other members of the family have been active on Twitter. Margherita Missoni has been retweeting news stories about the disappearance. Her cousin Jennifer last night said, "We believe. We won't stop until we #findvittoriomissoni !!!!!"

Venezuelan officials have vowed they won't stop, either. The search team includes a plane, two helicopters, several Coast Guard boats, and nearly 30 divers, according to the Associated Press. They've been searching for the plane and its six passengers since they were reported missing on Friday.

"All the authorities involved in these tasks are not reducing the intensity of the search until they locate the plane as well as its crew and passengers," the government said in a statement.

La Repubblica broke the news that Missoni, his wife Maurizia Castiglioni, their friends Guido Foresti and Elda Scalvenzi, and two Venezuelan crew members were missing on Friday. The four had been on vacation in Los Roques with Scalvenzi's brother Giuseppe and his wife Rosa Apostoli, but those two didn't board the missing plane because there wasn't enough room. Il Messaggero reported that they arrived safely in Milan on Sunday.

Vittorio was headed to an airport outside of the Venezuelan capital of Caracas. Afterward he'd planned to go to Spain and then to Italy, where Missoni had been scheduled to show its latest men's collection on Jan. 13. The brand is expected to decide today whether the show will go on.

Angela said she was notified about her brother's disappearance while on vacation in Oman with her parents, Rosita and Ottavio, who founded the brand in 1953. She told her mother immediately, but they waited to tell her father.

"We decided to let him rest, he was very tired," Angela said. "When, at 5:30 in the morning he saw us all standing and he looked at our faces and said, 'What happened? I am 92, but I'm not stupid.' And so we told him the truth."