• DocumentCode
    1987744
  • Title

    Interval-set algebra for qualitative knowledge representation

  • Author

    Yao, Y.Y.

  • Author_Institution
    Dept. of Math. Sci., Lakehead Univ., Thunder Bay, Ont., Canada
  • fYear
    1993
  • fDate
    27-29 May 1993
  • Firstpage
    370
  • Lastpage
    374
  • Abstract
    The notion of interval sets is introduced as a new kind of sets, represented by a pair of sets, namely, the lower and upper bounds. The interval-set algebra may be regarded as a counterpart of the interval-number algebra. It provides a useful tool to represent qualitative information. Operations on interval sets are also defined, based on the corresponding set-theoretic operations on their members. In addition, basic properties of interval-set algebra are examined, and the relationships between interval sets, rough sets and fuzzy sets are analyzed
  • Keywords
    fuzzy set theory; inference mechanisms; knowledge representation; fuzzy sets; interval-number algebra; interval-set algebra; lower bounds; pair of sets; qualitative knowledge representation; rough sets; set-theoretic operations; upper bounds; Algebra; Arithmetic; Error analysis; Fuzzy sets; Information analysis; Knowledge representation; Lakes; Marine vehicles; Rough sets; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computing and Information, 1993. Proceedings ICCI '93., Fifth International Conference on
  • Conference_Location
    Sudbury, Ont.
  • Print_ISBN
    0-8186-4212-2
  • Type

    conf

  • DOI
    10.1109/ICCI.1993.315346
  • Filename
    315346