4.5 Article

Connections between two-universe rough sets and formal concepts

Journal

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-018-0803-z

Keywords

Generalized approximation space; Two-universe rough sets; Object (Attribute)Oriented formal concepts; Concept lattices

Funding

  1. National Natural Science Foundation of China [61673396, 61363056, 61572082]
  2. Shandong Provincial Natural Science Foundation [ZR2015FM022]
  3. Fundamental Research Funds for the Central Universities [18CX02133A]
  4. National Social Science Foundation of China [14XXW004]

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Rough sets and formal concept analysis are two complementary tools during the process of data analysis. Two-universe rough set model is one of generalization of the classical rough sets. In this paper, the connections between two-universe rough sets and formal concepts are discussed. We investigate the relations between two-universe rough sets and the object (attribute) oriented formal concepts. We also establish connections between revised two-universe rough sets and the object (attribute) oriented formal concepts. Meanwhile, relations between algebraic characterizations of two-universe rough sets and formal concepts are revealed. Some properties of two-universe rough sets are examined.

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