Rihanna -- NFL/CBS Deceived Everyone ... I Never Signed On for Football

Rihanna is livid at the NFL and CBS ... claiming the league and the network had no right to make it look like she was part of the Ravens/Steelers Thursday night pre-game show ... and had no right to single her out when it was scrapped.

Sources connected with Rihanna tell TMZ ... the singer was pissed when someone sent her the joint NFL/CBS press release last week, with the headline, "CBS & NFL Network 'Run This Town' for Thursday Night Football Open with Music Featuring Rihanna & Narration by Don Cheadle."

In fact Rihanna never did anything special for the game ... all CBS/NFL did was license a Jay Z song that featured Rihanna.

Rihanna's rep tells TMZ, "Due to the misuse and misrepresentation of Rihanna's name and participation in connection to CBS TNF, CBS was not allowed to license and utilize the song 'Run This Town.' Roc Nation made the decision to not grant the song’s usage."

Translation: Because her name was used to promote the show, she felt she then had the right to block the production.

Rihanna also made it clear on social media Tuesday ... she is also angry that CBS yanked the production and insinuated it was because she was the victim of domestic violence.

CBS's plan was to use the Jay Z song along with a voiceover by Don Cheadle that would be customized for each match up -- but CBS said today the song will NOT be used.