Factor analysis for fuzzy data

Yoshiteru Nakamori, Junzo Watada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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 languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
Place of PublicationPiscataway, NJ, United States
PublisherIEEE
Pages1115-1120
Number of pages6
Volume2
Publication statusPublished - 1997
Externally publishedYes
EventProceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3) - Barcelona, Spain
Duration: 1997 Jul 11997 Jul 5

Other

OtherProceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3)
CityBarcelona, Spain
Period97/7/197/7/5

Fingerprint

Integer programming
Factor analysis

ASJC Scopus subject areas

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

Cite this

Nakamori, Y., & Watada, J. (1997). Factor analysis for fuzzy data. In 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.

IEEE International Conference on Fuzzy Systems. Vol. 2 Piscataway, NJ, United States : IEEE, 1997. p. 1115-1120.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nakamori, Y & Watada, J 1997, Factor analysis for fuzzy data. in 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.
Nakamori Y, Watada J. Factor analysis for fuzzy data. In IEEE International Conference on Fuzzy Systems. Vol. 2. Piscataway, NJ, United States: IEEE. 1997. p. 1115-1120
Nakamori, Yoshiteru ; Watada, Junzo. / Factor analysis for fuzzy data. IEEE International Conference on Fuzzy Systems. Vol. 2 Piscataway, NJ, United States : IEEE, 1997. pp. 1115-1120
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