• DocumentCode
    538907
  • Title

    Adjustment of Trapezoidal Fuzzy Numbers Matrix

  • Author

    Ye, Xiao-Ling ; Zhang, Ying-Chao

  • Author_Institution
    Sch. of Inf. & Control Eng., NUIST, Nanjing, China
  • Volume
    2
  • fYear
    2010
  • fDate
    16-17 Dec. 2010
  • Firstpage
    169
  • Lastpage
    172
  • Abstract
    In this paper, a method of adjusting trapezoidal fuzzy numbers matrix according as consistent rule is studied. The main idea is that a barycenter matrix is introduced in order to adjust the inconsistent matrix. In detail, if the consistency of barycenter matrix does not dissatisfy the requirement, we can construct consistent matrixes by the elements arranged in rows of the barycenter matrix, and then find out a matrix, which has the best closeness to the barycenter one, and mark out the row, thus construct a consistent trapezoidal fuzzy numbers matrix out from the corresponding row of the original trapezoidal fuzzy numbers matrix, finally combine the primary trapezoidal fuzzy numbers matrix with the consistent trapezoidal fuzzy numbers one. In the end, the method is illustrated with an example.
  • Keywords
    decision making; fuzzy set theory; matrix algebra; barycenter matrix; inconsistent matrix; trapezoidal fuzzy numbers matrix; Atmospheric measurements; Eigenvalues and eigenfunctions; Equations; Indexes; MATLAB; Mathematical model; Weight measurement; Consistency; Judgment matrix; Trapezoidal fuzzy numbers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-9247-3
  • Type

    conf

  • DOI
    10.1109/GCIS.2010.144
  • Filename
    5709156