Approximation Spaces in Rough-Granular Computing

  • Authors:
  • Andrzej Skowron;Jarosław Stepaniuk;Roman Swiniarski

  • Affiliations:
  • Institute of Mathematics, The University of Warsaw Banacha 2, 02-097 Warsaw, Poland. E-mail: skowron@mimuw.edu.pl;Department of Computer Science, Białystok University of Technology Wiejska 45A, 15-351 Białystok, Poland. E-mail: j.stepaniuk@pb.edu.pl;Department of Computer Science, San Diego State University 5500 Campanile Drive San Diego, CA 92182, USA and Institute of Computer Science, Polish Academy of Sciences Ordona 21, 01-237 Warsaw, Pol ...

  • Venue:
  • Fundamenta Informaticae - Understanding Computers' Intelligence Celebrating the 100th Volume of Fundamenta Informaticae in Honour of Helena Rasiowa
  • Year:
  • 2010

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Abstract

We discuss some generalizations of the approximation space definition introduced in 1994 [24, 25]. These generalizations are motivated by real-life applications. Rough set based strategies for extension of such generalized approximation spaces from samples of objects onto their extensions are discussed. This enables us to present the uniform foundations for inducing approximations of different kinds of granules such as concepts, classifications, or functions. In particular, we emphasize the fundamental role of approximation spaces for inducing diverse kinds of classifiers used in machine learning or data mining.