Stackelberg Solutions to Two-level Linear Programming Problems with Fuzzy Parameters

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  • NISHIZAKI Ichiro
    Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University
  • SAKAWA Masatoshi
    Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University

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  • ファジィパラメータを含む2レベル線形計画問題のStackelberg解
  • ファジィパラメータ オ フクム 2 レベル センケイ ケイカク モンダイ ノ Stackelbergカイ

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Abstract

In this paper, taking into account experts' imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process, we consider two-level linear programming problems with fuzzy parameters. Assuming some behavior of the decision maker at the lower level, we analyze rational decisions of the decision maker at the upper level from the prescriptive point of view. We examine two situations:one is a situation that, judging that the degree of all the membership functions of the fuzzy numbers involved in the problem should be greater than or equal to some value, the decision maker at the upper level makes a rational decision in a certain sense;the other is a situation that fuzzy goals for the objective functions and fuzzy constraints are introduced and each decision maker makes a decision by employing the fuzzy decision.

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