### Abstract

Fuzzy multivariate analyses including linear regression analysis, fuzzy time-series analysis, fuzzy possibilistic linear model, etc. are formulated in terms of the extension principle. One objective of a fuzzy linear regression model is to build a model using fuzzy which represent the possibilities included in the system. In this paper in order that we can overcome this issue, we propose the effective method to decrease drastically the number of samples in terms of convex hull method. In this paper stress is placed on that (1) only vertex points obtained by the convex hull are constraints on a linear programming on that (2) the convex hull approach works efficiently in real-time data gathering, and on that (3) the number of vertexes obtained by the convex hull will not increase so much. Using a numerical example, we show difference between both the convex hull and the conventional approaches to decrease the number of samples in building the model. We also illustrate and build the oral age model using real data about the age and the number of sound teeth based on Convex Hull.

Original language | English |
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Title of host publication | Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS |

Editors | M.H. Smith, W.A. Gruver, L.O. Hall |

Pages | 867-871 |

Number of pages | 5 |

Volume | 2 |

Publication status | Published - 2001 |

Externally published | Yes |

Event | Joint 9th IFSA World Congress and 20th NAFIPS International Conference - Vancouver, BC Duration: 2001 Jul 25 → 2001 Jul 28 |

### Other

Other | Joint 9th IFSA World Congress and 20th NAFIPS International Conference |
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City | Vancouver, BC |

Period | 01/7/25 → 01/7/28 |

### Fingerprint

### Keywords

- Convex hull
- Efficient solution
- Fuzzy regression analysis
- Gift wrapping method
- Oral age model

### ASJC Scopus subject areas

- Computer Science(all)
- Media Technology

### Cite this

*Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS*(Vol. 2, pp. 867-871)

**Convex hull approach to fuzzy regression analysis and its application to oral age model.** / Watada, Junzo; Toyoura, Yoshihiro; Hwang, Seung Gook.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS.*vol. 2, pp. 867-871, Joint 9th IFSA World Congress and 20th NAFIPS International Conference, Vancouver, BC, 01/7/25.

}

TY - GEN

T1 - Convex hull approach to fuzzy regression analysis and its application to oral age model

AU - Watada, Junzo

AU - Toyoura, Yoshihiro

AU - Hwang, Seung Gook

PY - 2001

Y1 - 2001

N2 - Fuzzy multivariate analyses including linear regression analysis, fuzzy time-series analysis, fuzzy possibilistic linear model, etc. are formulated in terms of the extension principle. One objective of a fuzzy linear regression model is to build a model using fuzzy which represent the possibilities included in the system. In this paper in order that we can overcome this issue, we propose the effective method to decrease drastically the number of samples in terms of convex hull method. In this paper stress is placed on that (1) only vertex points obtained by the convex hull are constraints on a linear programming on that (2) the convex hull approach works efficiently in real-time data gathering, and on that (3) the number of vertexes obtained by the convex hull will not increase so much. Using a numerical example, we show difference between both the convex hull and the conventional approaches to decrease the number of samples in building the model. We also illustrate and build the oral age model using real data about the age and the number of sound teeth based on Convex Hull.

AB - Fuzzy multivariate analyses including linear regression analysis, fuzzy time-series analysis, fuzzy possibilistic linear model, etc. are formulated in terms of the extension principle. One objective of a fuzzy linear regression model is to build a model using fuzzy which represent the possibilities included in the system. In this paper in order that we can overcome this issue, we propose the effective method to decrease drastically the number of samples in terms of convex hull method. In this paper stress is placed on that (1) only vertex points obtained by the convex hull are constraints on a linear programming on that (2) the convex hull approach works efficiently in real-time data gathering, and on that (3) the number of vertexes obtained by the convex hull will not increase so much. Using a numerical example, we show difference between both the convex hull and the conventional approaches to decrease the number of samples in building the model. We also illustrate and build the oral age model using real data about the age and the number of sound teeth based on Convex Hull.

KW - Convex hull

KW - Efficient solution

KW - Fuzzy regression analysis

KW - Gift wrapping method

KW - Oral age model

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M3 - Conference contribution

VL - 2

SP - 867

EP - 871

BT - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

A2 - Smith, M.H.

A2 - Gruver, W.A.

A2 - Hall, L.O.

ER -