Topological space for attributes set of a formal context

  • Authors:
  • Zheng Pei;Keyun Qin

  • Affiliations:
  • School of Mathematics & Computer Engineering, Xihua University, Chengdu, Sichuan, China;Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China

  • Venue:
  • RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
  • Year:
  • 2007

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Abstract

Generating concept lattice is investigated for long years. Whether formal concepts and concept lattice can be generated in topological space for objects set G or attributes set Mof a formal context F = (G,M,I) is an interesting problem. In this paper, our discussions are concentrated on constructing a topology for M of F, the topology is generated by an approximation space on M. Then there exists one-to-one mapping between the approximation space on M and the topology for M, and it is obtained that attributes of each formal concept is open set in the topological space.