Interval-valued versus intuitionistic fuzzy sets: Isomorphism versus semantics

Research output: Contribution to journalComment/debatepeer-review


Interval-values fuzzy sets (IVFSs) as a special case of type II and L-fuzzy sets, were introduced in the 1970s by Zadeh and others and the Intuitionistic fuzzy sets (IFSs) were introduced in the mid-1980s by Atanassov. The fact that IVFSs and IFSs constitute a mathematical isomorphism does not decline the authenticity and usefulness of IFSs. IFVS and IFS are based on different semantics such as imprecise membership versus weighing and modeling preferences. Understanding the threshold as an imprecise fuzzy number is intuitive, self-explanatory, and easily implementable. The research in the fuzzy community has gone in two different directions in spite of the isomorphism, most likely due to different semantics, and also due to some historical reasons.

Original languageEnglish (US)
Pages (from-to)1812-1813
Number of pages2
JournalPattern Recognition
Issue number5
StatePublished - May 2008

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence


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