Three more women have come forward alleging music mogul Russell Simmons raped them.

In a story published Wednesday by The New York Times, four new women detailed a pattern of alleged violent sexual behavior by Simmons, 60, disclosing incidents from 1988 to 2014. Three of the women say that he raped them.

"I vehemently deny all these allegations," Simmons said in a statement sent to USA TODAY by his rep, Steve Elzer. "These horrific accusations have shocked me to my core and all of my relations have been consensual."

The new allegations follow two accusations of sexual assault previously reported by the Los Angeles Times and The Hollywood Reporter.

The Times reports that in 1995 Drew Dixon was working her dream job as an executive at Def Jam Recordings, which Simmons co-founded. The mogul regularly harassed her and exposed his erect penis to her, she said, and later that year raped her in his downtown Manhattan apartment. She quit Def Jam soon after but was subsequently harassed by another boss, L.A. Reid.

Singer Tina Baker says Simmons raped her in the early 1990s when he was her manager, she told the Times. “The second he agreed to work with me, my budget increased, the label was paying more attention to me,” Ms. Baker recalled. But after the assault, she said, “I went into oblivion.”

In 1987, music journalist Toni Sallie met Simmons while on assignment. The two dated briefly, and remained cordial, she told the Times. But in the fall of 1988, she says the mogul invited her to his Manhattan apartment for a party he was hosting for his girlfriend. When Sallie arrived, the place was empty except for Simmons, she recalled. Saying he wanted to show her the apartment, Simmons led her to his bedroom.

“He pushed me on the bed and jumped on top of me, and physically attacked me,” she said. “We were fighting. I said no.” He raped her, she said, and a year later attacked her at a music conference in South Florida.

Simmons has also been accused of assault by Keri Claussen Khalighi, an aspiring model who was 17 at the time of the alleged incident. Khalighi said Simmons assaulted her and coerced her into performing oral sex while Brett Ratner was present, according to a report from The Los Angeles Times on Nov. 19. Simmons has denied the allegations.

On Nov. 30, screenwriter Jenny Lumet, daughter of director Sidney Lumet, became the second woman to publicly accuse Simmons in a guest column for The Hollywood Reporter, alleging the mogul sexually assaulted her in 1991 when she was 24.

Simmons subsequently apologized for being “thoughtless and insensitive” and announced he was stepping down from his companies. "This is a time of great transition ... I don’t want to be a distraction so I am removing myself from the businesses that I founded," he wrote at the time. "As for me, I will step aside and commit myself to continuing my personal growth, spiritual learning and above all to listening."

Following the new report Wednesday, Simmons vowed to "relentlessly fight against any untruthful character assassination that paints me as a man of violence."

Simmons says he "already apologized for the instances of thoughtlessness in my consensual relations" but categorically rejects the current allegations reported by the Times, which he describes as ranging from "patently untrue to the frivolous and hurtful."