4.8 Article

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

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 26, Issue 2, Pages 1036-1039

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2017.2666842

Keywords

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

Funding

  1. Engineering and Physical Sciences Research Council U.K. [EP/H000968/1, EP/J017515/1]
  2. EPSRC [EP/H000968/1, EP/J017515/1] Funding Source: UKRI
  3. Engineering and Physical Sciences Research Council [EP/H000968/1, EP/J017515/1] Funding Source: researchfish

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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.

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