• DocumentCode
    1545405
  • Title

    An efficient solution procedure for fuzzy relation equations with max-product composition

  • Author

    Loetamonphong, Jiranut ; Fang, Shu-Cherng

  • Author_Institution
    Dept. of Ind. Eng., North Carolina State Univ., Raleigh, NC, USA
  • Volume
    7
  • Issue
    4
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    441
  • Lastpage
    445
  • Abstract
    We study a system of fuzzy relation equations with max-product composition and present an efficient solution procedure to characterize the whole solution set by finding the maximum solution as well as the complete set of minimal solutions. Instead of solving the problem combinatorially, the procedure identifies the “nonminimal” solutions and eliminates them from the set of minimal solutions
  • Keywords
    fuzzy set theory; matrix algebra; fuzzy relation equations; max-product composition; minimal solutions; nonminimal solutions; Connectors; Equations; Fuzzy logic; Fuzzy sets; Fuzzy systems; Guidelines; Industrial engineering; Operations research;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/91.784204
  • Filename
    784204