Portfolio selection problems considering fuzzy returns of future scenarios

Takashi Hasuike*, Hiroaki Ishh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


This paper considers multi-criteria mathematical decision models with respect to portfolio selection problems, particularly multi-scenario models to the future return of each asset including ambiguity and the fuzzy extension of mean-variance model and mean-absolute deviation model. The proposed models are generally formulated as multi-criteria stochastic programming problems and fuzzy programming problems. Since they are not well-defined problems due to random and fuzzy variables and it is difficult to solve them directly and analytically, two cases with respect to proposed models are considered. Furthermore, introducing the possibility and necessity chance constraints, they are equivalently transformed into linear or quadratic programming problems and the efficient solution methods are constructed. Then, a numerical example of portfolio selection problem is given to compare proposal models with the basic model.

Original languageEnglish
Pages (from-to)2493-2506
Number of pages14
JournalInternational Journal of Innovative Computing, Information and Control
Issue number10
Publication statusPublished - 2008 Oct
Externally publishedYes


  • Multi-criteria
  • Necessity measure
  • Portfolio selection
  • Possibility measure

ASJC Scopus subject areas

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


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