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Rough concepts

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arxiv 1907.00359 v2 pith:MCXJ5TXN submitted 2019-06-30 cs.LO math.LO

Willem Conradie , Sabine Frittella , Krishna Manoorkar , Sajad Nazari , Alessandra Palmigiano , Apostolos Tzimoulis , Nachoem M. Wijnberg This is my paper · ORCID
classification cs.LOmath.LO
keywords formalanalysisconceptcontextsroughtheoryalgebraicapproximation
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modelling socio-political competition

    math.LO 2019-08 conditional novelty 6.0 of 10

    A many-valued, multi-type modal logic for socio-political competition is axiomatized and proven complete with respect to graph-based semantics over enriched reflexive graphs.

  2. The logic of vague categories

    math.LO 2019-08 conditional novelty 4.0 of 10

    The basic normal lattice-based modal logic is sound and complete with respect to many-valued enriched formal contexts, with an illustrative proposal for analyzing multi-market competition.

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