On Nie-Tan Operator and Type-Reduction of Interval Type-2 Fuzzy Sets

Jiawei Li, Robert John, Simon Coupland, Graham Kendall

Research output: Journal PublicationArticlepeer-review

61 Citations (Scopus)


Type-reduction of type-2 fuzzy sets is considered to be a defuzzification bottleneck because of the computational complexity involved in the process of type-reduction. In this paper, we prove that the closed-form Nie-Tan operator, which outputs the average of the upper and lower bounds of the footprint of uncertainty, is actually an accurate method for defuzzifying interval type-2 fuzzy sets.

Original languageEnglish
Pages (from-to)1036-1039
Number of pages4
JournalIEEE Transactions on Fuzzy Systems
Issue number2
Publication statusPublished - Apr 2018
Externally publishedYes


  • Defuzzification
  • Nie-Tan operator
  • interval type-2 fuzzy sets (T2 FSs)
  • type-reduction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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