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Prosecutors announced Thursday they have declined to file charges against Cleveland Browns running back Quinshon Judkins .

In a decline memo, obtained by TMZ Sports , the Broward State Attorney's Office said despite a woman alleging Judkins roughed her up during a July 8 ride from a Florida airport last month ... it had "no reasonable likelihood of conviction" in the case.

They stated Judkins -- through an attorney -- told them he and the woman had gotten into a dispute over the way he communicated about her to his family ... and she was the first to get physical. The docs state Judkins' lawyer claimed that after he pointed a finger at her, "she slapped his hand away, also punching him."

Prosecutors wrote that later during the tiff -- after the woman moved from the passen

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