Generalizations of approximable concept lattice

  • Authors:
  • Xueyou Chen;Qingguo Li;Fei Long;Zike Deng

  • Affiliations:
  • School of Mathematics and Information Science, Shandong University of Technology, Zibo, Shandong, P.R. China;School of Mathematics and Economics, Hunan University, Changsha, Hunan, P.R.China;School of Mathematics and Economics, Hunan University, Changsha, Hunan, P.R.China;School of Mathematics and Economics, Hunan University, Changsha, Hunan, P.R.China

  • Venue:
  • CLA'06 Proceedings of the 4th international conference on Concept lattices and their applications
  • Year:
  • 2006

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Abstract

B. Ganter, R. Wille initiated formal concept analysis. Concept lattice is one of the main notions and tools. Some researchers have investigated the fuzzification of the classical crisp concept lattice. One of them was shown by R. Belohlávek: concept lattice in fuzzy setting. The second one was given by S. Krajči: generalized concept lattice. On the other hand, as a generalization of concept, Zhang, P. Hitzler, Shen defined the notion of approximable concept on a Chu space. In this paper, we introduce two generalizations of approximable concept lattice: approximable concept lattice in the sense of R. Belohlávek, and generalized approximable concept in the sense of S. Krajči.