Large Scale Fuzzy Multiobjective Linear Programming

  • Masatoshi Sakawa
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 48)


As a multiobjective generalization of the previous chapter, this chapter treats large scale multiobjective linear programming problems with block angular structures. The fuzzy goals of the decision maker are quantified by eliciting the corresponding linear membership functions. Following the fuzzy decision of Bellman and Zadeh for combining them, fuzzy multiobjective linear programming, using the Dantzig-Wolfe decomposition method, is presented for obtaining the satisficing solution for the decision maker. Interactive fuzzy multiobjective linear programming for deriving the satisficing solution for the decision maker by updating the reference membership levels is also presented by utilizing the Dantzig-Wolfe decomposition method.


Decision Maker Membership Function Linear Programming Problem Pareto Optimal Solution Fuzzy Goal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Physica-Verlag Heidelberg 2000

Authors and Affiliations

  • Masatoshi Sakawa
    • 1
  1. 1.Department of Industrial and Systems EngineeringFaculty of Engineering Hiroshima UniversityHigashi-HiroshimaJapan

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