Ambiguous comparative judgment: Fuzzy set model and data analysis

Kazuhisa Takemura*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


Abstract: This paper proposed two types of fuzzy set models for ambiguous comparative judgments, which did not always hold transitivity and comparability properties. The first type of model was a fuzzy theoretical extension of the additive difference model for preference that was used to explain ambiguous preference strength. The second was a fuzzy logic model for explaining ambiguous preference in which preference strength was bounded, such as a probability measure. In both models, multi-attribute weighting parameters and all attribute values were assumed to be asymmetric fuzzy L-R numbers. For each model, a method of parameter estimation using fuzzy regression analysis was proposed. Numerical examples were also provided for comparison. Finally, the theoretical and practical implications of the proposed models were discussed.

Original languageEnglish
Pages (from-to)148-156
Number of pages9
JournalJapanese Psychological Research
Issue number2
Publication statusPublished - 2007 May


  • Ambiguity
  • Choice
  • Comparative judgment
  • Fuzzy set theories
  • Social judgment

ASJC Scopus subject areas

  • Psychology(all)


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