Rough sets, their extensions and applications

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Rough set theory provides a useful mathematical foundation for developing automated computational systems that can help understand and make use of imperfect knowledge. Despite its recency, the theory and its extensions have been widely applied to many problems, including decision analysis, data-mining, intelligent control and pattern recognition. This paper presents an outline of the basic concepts of rough sets and their major extensions, covering variable precision, tolerance and fuzzy rough sets. It also shows the diversity of successful applications these theories have entailed, ranging from financial and business, through biological and medicine, to physical, art, and meteorological.
Original languageEnglish
Pages (from-to)217-228
Number of pages2
JournalInternational Journal of Automation and Computing
Issue number3
Publication statusPublished - 2007


  • Rough sets
  • data processing
  • fuzzy sets


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