• DocumentCode
    1109953
  • Title

    Minimization of Fuzzy Functions

  • Author

    Siy, Pepe ; Chen, C.S.

  • Author_Institution
    Department of Electrical Engineering, University of Akron
  • Issue
    1
  • fYear
    1972
  • Firstpage
    100
  • Lastpage
    102
  • Abstract
    It is shown that the minimum canonical sum-of-products form of a given fuzzy function is the union of all its prime implicants. A reduction rule, which is necessary and sufficient, is presented that will generate all the prime implicants.
  • Keywords
    Fuzzy function, fuzzy function reduction rule, fuzzy operations, fuzzy relations, fuzzy variable, prime implicant of fuzzy function.; Algebra; Artificial intelligence; Boolean functions; Fuzzy set theory; Fuzzy sets; Fuzzy systems; IEL; Lattices; Polynomials; Fuzzy function, fuzzy function reduction rule, fuzzy operations, fuzzy relations, fuzzy variable, prime implicant of fuzzy function.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1972.223439
  • Filename
    1672032