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

Jiawei Li; Robert John; Simon Coupland; Graham Kendall

doi:10.1109/TFUZZ.2017.2666842

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

Jiawei Li, Robert John, Simon Coupland, Graham Kendall

Research output: Journal Publication › Article › peer-review

80 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1036-1039
Number of pages	4
Journal	IEEE Transactions on Fuzzy Systems
Volume	26
Issue number	2
DOIs	https://doi.org/10.1109/TFUZZ.2017.2666842
Publication status	Published - Apr 2018
Externally published	Yes

Keywords

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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10.1109/TFUZZ.2017.2666842

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KW - Defuzzification

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KW - type-reduction

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

Abstract

Keywords

ASJC Scopus subject areas

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