4.7 Article

Rough concepts

Journal

INFORMATION SCIENCES
Volume 561, Issue -, Pages 371-413

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.05.074

Keywords

Rough set theory; Formal concept analysis; Modal logic; Modal algebras; Rough Concept Analysis

Funding

  1. Faculty of Science, University of the Witwatersrand
  2. grant PHC VAN GOGH 2019 [42555PE]
  3. grant ANR JCJC 2019, project PRELAP [ANR19CE480006]
  4. NWO Vidi grant [016.138.314]
  5. NWO Aspasia grant [015.008.054]
  6. Delft Technology Fellowship

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The paper proposes a novel way to unify Rough Set Theory and Formal Concept Analysis, drawing from results and insights in the algebraic theory of modal logic. It is based on the idea that Pawlak's original approximation spaces can be seen as special instances of enriched formal contexts, i.e. relational structures based on formal contexts from Formal Concept Analysis.
The present paper proposes a novel way to unify Rough Set Theory and Formal Concept Analysis. Our method stems from results and insights developed in the algebraic theory of modal logic, and is based on the idea that Pawlak's original approximation spaces can be seen as special instances of enriched formal contexts, i.e. relational structures based on formal; contexts from Formal Concept Analysis. (c) 2020 Elsevier Inc. All rights reserved.

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