### Abstract

This paper proposes a factor analysis technique for fuzzy data which are rating scores measured by adjectives. Fuzzy correlation coefficients are introduced and factor loadings are determined as fuzzy numbers. Thus, adjectives are identified as fuzzy objects in the factor space. After fuzzy distances between adjectives in the factor space are defined, a covering problem is formulated as an integer programming problem to determine a set of representative adjectives and an overlapped partition of adjectives simultaneously. This provides a useful information to study the relation between adjectives and designs.

Original language | English |
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Title of host publication | IEEE International Conference on Fuzzy Systems |

Place of Publication | Piscataway, NJ, United States |

Publisher | IEEE |

Pages | 1115-1120 |

Number of pages | 6 |

Volume | 2 |

Publication status | Published - 1997 |

Externally published | Yes |

Event | Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3) - Barcelona, Spain Duration: 1997 Jul 1 → 1997 Jul 5 |

### Other

Other | Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3) |
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City | Barcelona, Spain |

Period | 97/7/1 → 97/7/5 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Software
- Safety, Risk, Reliability and Quality

### Cite this

*IEEE International Conference on Fuzzy Systems*(Vol. 2, pp. 1115-1120). Piscataway, NJ, United States: IEEE.

**Factor analysis for fuzzy data.** / Nakamori, Yoshiteru; Watada, Junzo.

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

*IEEE International Conference on Fuzzy Systems.*vol. 2, IEEE, Piscataway, NJ, United States, pp. 1115-1120, Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3), Barcelona, Spain, 97/7/1.

}

TY - GEN

T1 - Factor analysis for fuzzy data

AU - Nakamori, Yoshiteru

AU - Watada, Junzo

PY - 1997

Y1 - 1997

N2 - This paper proposes a factor analysis technique for fuzzy data which are rating scores measured by adjectives. Fuzzy correlation coefficients are introduced and factor loadings are determined as fuzzy numbers. Thus, adjectives are identified as fuzzy objects in the factor space. After fuzzy distances between adjectives in the factor space are defined, a covering problem is formulated as an integer programming problem to determine a set of representative adjectives and an overlapped partition of adjectives simultaneously. This provides a useful information to study the relation between adjectives and designs.

AB - This paper proposes a factor analysis technique for fuzzy data which are rating scores measured by adjectives. Fuzzy correlation coefficients are introduced and factor loadings are determined as fuzzy numbers. Thus, adjectives are identified as fuzzy objects in the factor space. After fuzzy distances between adjectives in the factor space are defined, a covering problem is formulated as an integer programming problem to determine a set of representative adjectives and an overlapped partition of adjectives simultaneously. This provides a useful information to study the relation between adjectives and designs.

UR - http://www.scopus.com/inward/record.url?scp=0030711306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030711306&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1115

EP - 1120

BT - IEEE International Conference on Fuzzy Systems

PB - IEEE

CY - Piscataway, NJ, United States

ER -