Someone publishes FAKE news about your business. What can you do?  Get that review removed! Get the FACTS straight.
Use Yelp rules how to get fake, misleading and biased news removed.  IF someone violates the Content Guideline & Terms of Service – those reviews can be removed.
Can you remove a review from Yelp? Yes.
To delete, they can go to ABOUT ME -> REVIEWS and then click on the little garbagecan icon on the bottom right next to the review for your business. Deleting reviews can work on Ripoff Report, Google+, Yelp!, Facebook, Yellow Pages, YMLP and other review and map sites.
Remove Negative and Fake Reviews from Yelp, Google and Other Sites
https://hookseo.com/much-ado-nothing-handle-fake-reviews/
