It's been some three years since Janet Jackson and co-writer Rene Elizondo Jr. split up, but that didn't close the door to romance in her life, she told reporters at a press conference in Tokyo, where she's continuing the next leg of her "All For You World Tour 2002." "I'd like to be in love," she said, according to the Associated Press, declining to name any potential suitors. Jackson, 35, and Elizondo, 39, were secretly married for nine years before their relationship was made public. They wed in March 1991, and Elizondo filed for divorce in May 2000. (Last year, PEOPLE reported that, according to court papers, Elizondo entered the marriage with a net worth of $96,596, of which $30,000 was the value of his wardrobe; Jackson was then worth $10 million.) After the marriage dissolved, Jackson started dating, she said, according to AP, though, she added, "I don't want to get married." Dressed in a midriff-baring, black bikini-like top, a sheer lace camisole and jeans, reported the AP, Jackson smiled for cameras before being whisked off on a high-speed bullet train to Osaka, where she is set to perform before crowds of about 30,000 this weekend. She was told in Tokyo that Wednesday night in Los Angeles she was named favorite female pop/rock artist at the American Music Awards.