https://pl.wikipedia.org/wiki/Wymiar_Hausdorffa

I recommend to have this book on hand, as it has enough introductory information on a wide range of distances: http://www.springer.com/us/book/9783642309588

Dear Mr. Jamali,

To the best of my knowledge, the "symmetric" Hausdorff distance between sets A and B is simply the maximum of the usual, directed (asymmetric) Hausdorff distances from A to B and from B to A. You can read up on this e.g. here:

https://docs.scipy.org/doc/scipy/reference/generated/generated/scipy.spatial.distance.directed_hausdorff.html

https://pdfs.semanticscholar.org/8539/53235e946cb709e384c36f3565ab0d17848e.pdf

I hope this helps although your question was phrased maybe a bit too vaguely to figure out what exactly you're actually trying to do.

Best of luck!

Ricarda