A robust multi-criteria fuzzy programming problem considering possibility measure

Takashi HasuikE*, Hiroaki Ishii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)4907-4914
Number of pages8
JournalInternational Journal of Innovative Computing, Information and Control
Issue number12
Publication statusPublished - 2009 Dec 1
Externally publishedYes


  • Multi-criteria programming
  • Possibility programming
  • Robust programming
  • Semi-infinite programming

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics


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