Large Scale Interactive Multiobjective 0–1 Programming with Fuzzy Numbers

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


In this chapter, as the 0–1 version of Chapter 6, large scale multiobjective multidimensional 0–1 knapsack problems with block angular structures involving fuzzy numbers are formulated. Along the same line as in Chapter 6, interactive decision making methods using the genetic algorithm with decomposition procedures, both without and with the fuzzy goals of the decision maker, for deriving a satisficing solution efficiently from an extended Pareto optimal solution set are presented. Several numerical experiments are also given.


Decision Maker Membership Function Fuzzy Number Knapsack Problem Pareto Optimal Solution 
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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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