Firstly we discuss different versions of noncommutative space-time and
corresponding appearance of quantum space-time groups. Further we consider the
relation between quantum deformations of relativistic symmetries and so-called
doubly special relativity (DSR) theories.Comment: LaTeX, 9 pages. To appear in Proceedings of 11-th Regional Conference
on Mathematical Physics, Tehran 2.05-5.05.2004, Eds. S. Rahvar, N. Sadooghi
and F. Shojai, publ. World Sc. (2005