Granular computing and dual Galois connection

  • Authors:

  • Jian-Min Ma;Wen-Xiu Zhang;Yee Leung;Xiao-Xue Song

  • Affiliations:

  • Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi 710049, PR China;Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi 710049, PR China;Department of Geography and Resource Management, Center for Environmental Policy and Resource Management, Institute of Space and Earth Information Science, The Chinese University of Hong Kong, Hon ...;Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi 710049, PR China and Department of Computer, Xianyang Normal University, Xianyang, Sha ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

Quantified Score

Hi-index 0.07

Visualization

Abstract

A covering model for granular computing in a set-theoretic setting is studied in this paper. Under this model, a zooming-in operator is redefined. Combinations of the zooming-in and zooming-out operators form two pairs of approximation operators of the original and the granulated universe of discourse. Their properties are examined in detail. For the two pairs of lower and upper approximation operators, it is proved that the duality is always true. For a generalized approximation space, the approximation representations are just the combination operators formed on the basis of the zooming-out and zooming-in operators. Relationships between these combination operators and the dual Galois connection are also analyzed.