• DocumentCode
    182935
  • Title

    Multi-objective fully fuzzy linear programming problems with triangular fuzzy numbers

  • Author

    Xiao-Peng Yang ; Bing-Yuan Cao ; Hai-Tao Lin

  • Author_Institution
    Sch. of Math. & Inf. Sci., Guangzhou Univ., Guangzhou, China
  • fYear
    2014
  • fDate
    19-21 Aug. 2014
  • Firstpage
    171
  • Lastpage
    177
  • Abstract
    For checking the optimality of the objective function, we introduce a lexicographic order relation to compare two arbitrary triangular fuzzy numbers. Based on the order relation, the multi-objective fully fuzzy linear programming problem is converted into a crisp multi-level multi-objective linear programming problem, which may be solved by using the Min operator step by step. A numerical example is given to illustrate the validity of the proposed method.
  • Keywords
    fuzzy set theory; linear programming; number theory; Min operator; arbitrary triangular fuzzy numbers; lexicographic order relation; multilevel multiobjective linear programming problem; multiobjective fully fuzzy linear programming problems; triangular fuzzy numbers; Educational institutions; Fuzzy systems; Information science; Linear programming; Optimization; Vectors; fully fuzzy linear programming; fuzzy number; lexicographic order relation; multi-level multi-objective linear programming;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2014 11th International Conference on
  • Conference_Location
    Xiamen
  • Print_ISBN
    978-1-4799-5147-5
  • Type

    conf

  • DOI
    10.1109/FSKD.2014.6980827
  • Filename
    6980827