Local approximations

  • Authors:
  • Jerzy W. Grzymala-Busse;Wojciech Rzasa

  • Affiliations:
  • Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS and Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland;Department of Computer Science, University of Rzeszow, Rzeszów, Poland

  • Venue:
  • IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
  • Year:
  • 2009

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Abstract

In this paper we analyze the basic concepts of rough set theory, lower and upper approximations, defined in an approximation space (U, L), where U is a nonempty and finite set and L is a fixed family of subsets of U. Some definitions of such lower and upper approximations are well known, some are presented in this paper for the first time. Our new definitions better accommodate applications to mining incomplete data, i.e., data with missing attribute values. An illustrative example is also presented in this paper.