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Large Scale Multiobjective Linear Programming with Fuzzy Numbers

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

Abstract

In this chapter, in contrast to the large scale multiobjective linear programming problems with block angular structures discussed thus far, by considering the experts’ imprecise or fuzzy understanding of the nature of the parameters in the problem-formulation process, large scale multiobjective linear programming problems with block angular structures involving fuzzy numbers are formulated. Through the introduction of extended Pareto optimality concepts, interactive decision making methods, using the Dantzig-Wolfe decomposition method, both without and with the fuzzy goals of the decision maker, for deriving a satisficing solution for the decision maker from the extended Pareto optimal solution set are presented together with detailed numerical examples.

Keywords

Decision Maker Membership Function Fuzzy Number Linear Programming Problem Pareto Optimal Solution 
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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