### 抄録

A fuzzy regression model illustrates the possibility of a considered system so that all given data are included in fuzzy intervals obtained by the model. So the fuzzy regression model is easily warped and bended by data with large error, when the error data are mixed in the possibilistic data. Especially the marginal data have the influence on configurating he shape of the model. Hyperelliptic function is employed to select marginal data by means of recognizing data positions by adjusting its parameters. The fuzzy robust regression model is proposed in this paper so that the data with large error can be removed out of the marginal data using distance. As an application of the fuzzy robust regression model, the relation between economy in Asian region and environmental problem is analyzed. This application shows the meaning and effectiveness of the fuzzy robust regression model.

元の言語 | English |
---|---|

ページ（範囲） | 512-524 |

ページ数 | 13 |

ジャーナル | Journal of the Operations Research Society of Japan |

巻 | 39 |

発行部数 | 4 |

出版物ステータス | Published - 1996 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Decision Sciences(all)
- Management Science and Operations Research

### これを引用

*Journal of the Operations Research Society of Japan*,

*39*(4), 512-524.

**Fuzzy robust regression analysis based on a hyperelliptic function.** / Yabuuchi, Yoshiyuki; Watada, Junzo.

研究成果: Article

*Journal of the Operations Research Society of Japan*, 巻. 39, 番号 4, pp. 512-524.

}

TY - JOUR

T1 - Fuzzy robust regression analysis based on a hyperelliptic function

AU - Yabuuchi, Yoshiyuki

AU - Watada, Junzo

PY - 1996

Y1 - 1996

N2 - A fuzzy regression model illustrates the possibility of a considered system so that all given data are included in fuzzy intervals obtained by the model. So the fuzzy regression model is easily warped and bended by data with large error, when the error data are mixed in the possibilistic data. Especially the marginal data have the influence on configurating he shape of the model. Hyperelliptic function is employed to select marginal data by means of recognizing data positions by adjusting its parameters. The fuzzy robust regression model is proposed in this paper so that the data with large error can be removed out of the marginal data using distance. As an application of the fuzzy robust regression model, the relation between economy in Asian region and environmental problem is analyzed. This application shows the meaning and effectiveness of the fuzzy robust regression model.

AB - A fuzzy regression model illustrates the possibility of a considered system so that all given data are included in fuzzy intervals obtained by the model. So the fuzzy regression model is easily warped and bended by data with large error, when the error data are mixed in the possibilistic data. Especially the marginal data have the influence on configurating he shape of the model. Hyperelliptic function is employed to select marginal data by means of recognizing data positions by adjusting its parameters. The fuzzy robust regression model is proposed in this paper so that the data with large error can be removed out of the marginal data using distance. As an application of the fuzzy robust regression model, the relation between economy in Asian region and environmental problem is analyzed. This application shows the meaning and effectiveness of the fuzzy robust regression model.

UR - http://www.scopus.com/inward/record.url?scp=26944436712&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26944436712&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 512

EP - 524

JO - Journal of the Operations Research Society of Japan

JF - Journal of the Operations Research Society of Japan

SN - 0453-4514

IS - 4

ER -