Approximations of functions: toward rough granular calculus

  • Authors:
  • Andrzej Skowron;Jarosław Stepaniuk

  • Affiliations:
  • Institute of Mathematics, The University of Warsaw, Warsaw, Poland;Department of Computer Science, Białystok University of Technology, Białystok, Poland

  • Venue:
  • RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
  • Year:
  • 2011

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Abstract

In our previous papers, we investigated rough approximations of functions. These approximations are different than considered by Professor Zdzisław Pawlak [13,14]. In particular, our approach allows us to overcome the drawback of the exiting approach that the lower approximations of functions are usually empty. In this paper, we emphasize a possible application of boolean reasoning in inducing of function approximation. This paper is a step toward developing rough calculus and rough granular calculus as an extension of the approach presented in [4,14].