A robust multi-criteria fuzzy programming problem considering possibility measure

Takashi HasuikE*, Hiroaki Ishii

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper considers a multi-criteria mathematical decision model including fuzzy variables. As the proposed model is not well-defined due to fuzzy variables, thus to solve them directly and analytically, the possibility measure is introduced. Then, in order to aggregate the multi-criteria objective functions into the single-criterion, the fuzzy compromise programming model is proposed. Furthermore, by introducing the interval of each weight to the objective functions, the proposed model is reformulated as a robust programming problem. Since this problem is a semi-infinite programming problem, the an efficient algorithm is developed using the linearity of the proposed model. Finally, a numerical example is provided to compare proposed models with the basic model.

本文言語English
ページ(範囲)4907-4914
ページ数8
ジャーナルInternational Journal of Innovative Computing, Information and Control
5
12
出版ステータスPublished - 2009 12月 1
外部発表はい

ASJC Scopus subject areas

  • ソフトウェア
  • 理論的コンピュータサイエンス
  • 情報システム
  • 計算理論と計算数学

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