Rough Set Semantics for Three-Valued Logics

  • Authors:

  • Seiki Akama;Tetsuya Murai

  • Affiliations:

  • Department of Information Systems, Teikyo Heisei University, Japan;Graduate School of Engineering, Hokkaido University, Japan

  • Venue:
  • Proceedings of the 2005 conference on Advances in Logic Based Intelligent Systems: Selected Papers of LAPTEC 2005
  • Year:
  • 2005

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Abstract

Rough set was introduced by Pawlak to represent coarse information and is related to a semantic basis for non-classical logics. In this paper, we proposed rough set semantics and show that it can be used as a natural semantics for some three-valued logics. As a case study, we deal with three-valued logics of Lukasiewicz and Kleene.