Reza Rad does a bit of a match:
Have you ever wanted to match two tables together but not on exact matches, but also on a threshold of similarity? if your answer to this question is yes, then this feature is built for you. Let’s explore in details how the fuzzy matching works in Power BI. To learn more about Power BI, read Power BI from Rookie to Rock Star.
As always, Reza has a video and a blog post for us, explaining how the fuzzy matching process works and some of the knobs you can control. In the comments, Reza even digs up the specific algorithm that Microsoft uses for fuzzy matching.