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Mayweather, who retired undefeated with a 50-0 record in 2017, once again caused outrage with his revised rankings in July.
'Money' ranked himself as the GOAT boxer before putting Pernell Whitaker at No 2, Roberto Duran at No 3, Larry Holmes at No 4 and Aaron Pryor at No 5.
However, the former five-weight champ has now hit out at his critics as he insisted that his name is synonymous with boxing.
Mayweather told the Club Shay Shay podcast: "Every time boxing comes on, you don't bring up Muhammed Ali's name, you don't bring up Mike Tyson's name -- you always bring up Floyd Mayweather's name because I'm still the face of boxing.
"I've accomplished more than every fighter in the history of boxing."
When Shannon Sharpe asked Mayweather if he wanted to defend his top five, 'Money' responded: "At the end of the day, Floyd Mayweather is not a follower.
"I will always love Sugar Ray Robinson because he paved the way for Muhammed Ali.
"I will always love Muhammed Ali because he paved the way for Sugar Ray Leonard. Sugar Ray Leonard paved the way for a guy like Mike Tyson and so forth and so on."
Mayweather, who has teased a potential one-off fight recently, has recognised Ali's impact on the sport and influence outside of the ring.
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