@INPROCEEDINGS { Rsds3279,
author = {Polkowski, Lech T.}, 
title = {On Fractals Defined in Information Systems via Rough Set Theory: A Preliminary Account}, 
booktitle = {Proceedings of International Workshop on Rough Set Theory and Granular Computing (RSTGC-2001)}, 
conference = {International Workshop on Rough Set Theory and Granular Computing}, 
series =  = {Bulletin of International Rough Set Society}, 
volume = 5, 
pages = {163--166}, 
month = {May}, 
year = 2001, 
editor = {Hirano, Shoji and Inuiguchi, Masahiro and Tsumoto, Shusaku}, 
issn = {1346-0013}, 
abstract = {A queation arises in connection with the general theory of rough sets about the possibility of defining fractal objects in general information systems and of their relation to rough sets in these information systems. We answer these questions by showing that any fractal (i.e. object whose fractional dimension is different from the topological dimension) is a topological rough set and the we define the notion of a dimension of a fractal in an information system parallel to the Minkowski (box counting) dimension of fractal in Euclidean spaces. We prove basic properties of this new dimension.}, 
keywords = {fractals, the Minkowski dimension, information systems, rough sets, A-dimension, }, 
}