Set-theoretic models of granular structures

  • Authors:
  • Yiyu Yao;Duoqian Miao;Nan Zhang;Feifei Xu

  • Affiliations:
  • Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada;Department of Computer Science and Technology, Tongji University, Shanghai, China;Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada and Department of Computer Science and Technology, Tongji University, Shanghai, China;Department of Computer Science and Technology, Tongji University, Shanghai, China

  • Venue:
  • RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
  • Year:
  • 2010

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Abstract

Granular structure is one of the fundamental concepts in granular computing. Different granular structures reflect multiple aspects of knowledge and information, and depict the different characteristics of data. This paper investigates a family of set-theoretic models of different granular structures. The proposed models are particularly useful for concept formulation and learning. Some of them can be used in formal concept analysis, rough set analysis and knowledge spaces. This unified study of granular structures provides a common framework integrating these theories of granular computing.