Variable threshold concept lattice and dependence space

  • Authors:
  • Jian-Min Ma;Wen-Xiu Zhang;Sheng Cai

  • Affiliations:
  • Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi, P.R. China;Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi, P.R. China;School of Information Science and Engineering, Fudan University, Shanghai, P.R. China

  • Venue:
  • FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
  • Year:
  • 2006

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Abstract

In this paper, a variable threshold concept lattice is introduced based on a fuzzy formal context with a threshold, and some properties are discussed. The number of concepts in a variable threshold concept lattice is far less than that in a fuzzy concept lattice. Then a dependence space is constructed according to the variable threshold concept lattice. Applying the congruences on the dependence space, a closed set is obtained. And a new approach is discussed by using the closed set to construct variable threshold formal concepts.