### Abstract

A simple linear regression analysis using the least square method under some constraints, where both input data and output data are represented by triangular fuzzy numbers, was proposed and then compared to the possibilistic linear regression analysis proposed by Sakawa and Yano (1992) using fuzzy rating data in a psychological study. The major finding of the comparison were as follows: (1) Under the proposed analysis, the width between the upper and lower values of the predicted model was nearer to the width of the dependent variable than that of the possibilistic linear regression analysis, (2) As well, the representative value of the predicted value by the proposed analysis was also nearer to that of the dependent variable, compared with that of the possibilistic linear regression analysis.

Original language | English |
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Title of host publication | Proceedings of the IEEE International Conference on Intelligent Processing Systems, ICIPS |

Place of Publication | Piscataway, NJ, United States |

Publisher | IEEE |

Pages | 49-53 |

Number of pages | 5 |

Volume | 1 |

Publication status | Published - 1998 |

Externally published | Yes |

Event | Proceedings of the 1997 IEEE International Conference on Intelligent Processing Systems, ICIPS'97. Part 1 (of 2) - Beijing, China Duration: 1997 Oct 28 → 1997 Oct 31 |

### Other

Other | Proceedings of the 1997 IEEE International Conference on Intelligent Processing Systems, ICIPS'97. Part 1 (of 2) |
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City | Beijing, China |

Period | 97/10/28 → 97/10/31 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Engineering(all)

### Cite this

*Proceedings of the IEEE International Conference on Intelligent Processing Systems, ICIPS*(Vol. 1, pp. 49-53). Piscataway, NJ, United States: IEEE.

**Simple linear regression analysis for fuzzy input-output data and its application to psychological study.** / Takemura, Kazuhisa.

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

*Proceedings of the IEEE International Conference on Intelligent Processing Systems, ICIPS.*vol. 1, IEEE, Piscataway, NJ, United States, pp. 49-53, Proceedings of the 1997 IEEE International Conference on Intelligent Processing Systems, ICIPS'97. Part 1 (of 2), Beijing, China, 97/10/28.

}

TY - GEN

T1 - Simple linear regression analysis for fuzzy input-output data and its application to psychological study

AU - Takemura, Kazuhisa

PY - 1998

Y1 - 1998

N2 - A simple linear regression analysis using the least square method under some constraints, where both input data and output data are represented by triangular fuzzy numbers, was proposed and then compared to the possibilistic linear regression analysis proposed by Sakawa and Yano (1992) using fuzzy rating data in a psychological study. The major finding of the comparison were as follows: (1) Under the proposed analysis, the width between the upper and lower values of the predicted model was nearer to the width of the dependent variable than that of the possibilistic linear regression analysis, (2) As well, the representative value of the predicted value by the proposed analysis was also nearer to that of the dependent variable, compared with that of the possibilistic linear regression analysis.

AB - A simple linear regression analysis using the least square method under some constraints, where both input data and output data are represented by triangular fuzzy numbers, was proposed and then compared to the possibilistic linear regression analysis proposed by Sakawa and Yano (1992) using fuzzy rating data in a psychological study. The major finding of the comparison were as follows: (1) Under the proposed analysis, the width between the upper and lower values of the predicted model was nearer to the width of the dependent variable than that of the possibilistic linear regression analysis, (2) As well, the representative value of the predicted value by the proposed analysis was also nearer to that of the dependent variable, compared with that of the possibilistic linear regression analysis.

UR - http://www.scopus.com/inward/record.url?scp=0031650411&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031650411&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0031650411

VL - 1

SP - 49

EP - 53

BT - Proceedings of the IEEE International Conference on Intelligent Processing Systems, ICIPS

PB - IEEE

CY - Piscataway, NJ, United States

ER -