Some Remarks on the Concept of Approximations from the View of Knowledge Engineering

  • Authors:
  • Tsau Young Lin;Rushin Barot;Shusaku Tsumoto

  • Affiliations:
  • San Jose State University, USA;San Jose State University, USA;Shimane Medical University, Japan

  • Venue:
  • International Journal of Cognitive Informatics and Natural Intelligence
  • Year:
  • 2010

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Abstract

The concepts of approximations in granular computing GrC vs. rough set theory RS are examined. Examples are constructed to contrast their differences in the Global GrC Model 2nd GrC Model, which, in pre-GrC term, is called partial coverings. Mathematically speaking, RS-approximations are "sub-base" based, while GrC-approximations are "base" based, where "sub-base" and "base" are two concepts in topological spaces. From the view of knowledge engineering, its meaning in RS-approximations is rather obscure, while in GrC, it is the concept of knowledge approximations.