• DocumentCode
    226834
  • Title

    Rotation of triangular fuzzy numbers via quaternion

  • Author

    Moura, Ronildo ; Bergamaschi, Flaulles ; Santiago, Regivan ; Bedregal, Benjamin

  • Author_Institution
    Dept. de Inf. e Mat. Aplic., Univ. Fed. do Rio Grande do Norte, Natal, Brazil
  • fYear
    2014
  • fDate
    6-11 July 2014
  • Firstpage
    2538
  • Lastpage
    2543
  • Abstract
    In this paper we introduced the concept of three-dimensional triangular fuzzy number and their properties are investigated. It is shown that this set has important metrical properties, e.g convexity. The paper also provides a rotation method for such numbers based on quaternion and aggregation operator.
  • Keywords
    fuzzy set theory; number theory; 3D triangular fuzzy number; aggregation operator; convexity; metrical properties; quaternion; triangular fuzzy numbers; Dispersion; Equations; Measurement; Quaternions; Radio frequency; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4799-2073-0
  • Type

    conf

  • DOI
    10.1109/FUZZ-IEEE.2014.6891736
  • Filename
    6891736