Membership functions II: Trends in fuzziness and implications

Juan Carlos Santamarina, Jean Lou Chameau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Results from a set of questionnaires designed to compare methods of obtaining membership functions were analyzed to identify general trends in fuzziness. It was found that fuzziness in comprehension is always reflected in the answer; concepts such as difficulty, imprecision, and shape of membership functions are clearly interrelated; and the transition between crisp extremes through fuzziness has characteristic manifestations. Emphasis is placed on the practical implications of these ideas; applications include developing standard and type II fuzzy sets, improving the completeness and consistency of available data, and supporting the development of knowledge-based systems using fuzzy sets.

Original languageEnglish (US)
Pages (from-to)303-317
Number of pages15
JournalInternational Journal of Approximate Reasoning
Issue number3
StatePublished - Jul 1987
Externally publishedYes


  • fuzziness
  • fuzzy sets
  • hedges
  • knowledge elicitation
  • membership functions
  • uncertainty

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Theoretical Computer Science
  • Applied Mathematics


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