Interactive fuzzy proramming using partial information about preference through genetic algorithms for multiobjective two-level 0-1 programming problems

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  • 多目的2レベル0-1計画問題に対する遺伝的アルゴリズムによる選好に関する部分的情報を用いた対話型ファジィ計画法
  • タモクテキ 2 レベル 0 1 ケイカク モンダイ ニ タイスル イデンテキ アルゴリズム ニ ヨル センコウ ニ カンスル ブブンテキ ジョウホウ オ モチイタ タイワガタ ファジィ ケイカクホウ

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Abstract

In this paper, focusing on multiobjective two-level 0 1 programming problems where two decision makers with 0-1 decision variables have multiple objective functions, we present interactive fuzzy programming for them using partial information about preference. In the proposed method, after introducing fuzzy goals of objective functions for the decision makers, a solution, which minimizes the difference between the membership function values and the reference membership levels for the decision maker at the lower level under the condition that the membership is obtained by genetic algorithms. After evaluating the aggregated satisfactory degree for each of the decision makers through the partial information about preference, if the ratio of the aggregated satisfactory degree for the decision maker at the lower level to that for the decision maker at the upper level satisfies a certain condition and the decision maker at the upper level is content with the solution, a satisfactory solution is obtained. Otherwise, the interactive procedures with updating the minimal satisfactory levels and the reference membership levels is going to be continued until a satisfactory solution is found.

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