### 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.

元の言語 | 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 |

巻 | 5 |

発行部数 | 12 |

出版物ステータス | Published - 2009 12 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### これを引用

*International Journal of Innovative Computing, Information and Control*,

*5*(12), 4907-4914.

**A robust multi-criteria fuzzy programming problem considering possibility measure.** / Hasuike, Takashi; Ishii, Hiroaki.

研究成果: Article

*International Journal of Innovative Computing, Information and Control*, 巻. 5, 番号 12, pp. 4907-4914.

}

TY - JOUR

T1 - A robust multi-criteria fuzzy programming problem considering possibility measure

AU - Hasuike, Takashi

AU - Ishii, Hiroaki

PY - 2009/12

Y1 - 2009/12

N2 - 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.

AB - 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.

KW - Multi-criteria programming

KW - Possibility programming

KW - Robust programming

KW - Semi-infinite programming

UR - http://www.scopus.com/inward/record.url?scp=74349092014&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74349092014&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:74349092014

VL - 5

SP - 4907

EP - 4914

JO - International Journal of Innovative Computing, Information and Control

JF - International Journal of Innovative Computing, Information and Control

SN - 1349-4198

IS - 12

ER -