Applications of type-2 fuzzy sets with set approximation approaches: A summary

Chia Wen Chang; Chin Wang Tao

doi:10.1007/978-3-030-45619-1_6

Applications of type-2 fuzzy sets with set approximation approaches: A summary

Chia Wen Chang, Chin Wang Tao^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Although fuzzy control technique has been widely developed in main scientific applications and engineering system, a challenging research problem how to design the appropriate parameters of fuzzy controller in the different applications still has drawn attention of researchers in various fields. Two approximating-based methods included in this paper are summarized from our previous work. One is that the parameters of Gaussian membership function can be approximately calculated when the range and mean of the input data are given. Another is that a best crisp approximation of fuzzy set can be calculated such that an interval type-2 fuzzy set can be reduced to a type-1 fuzzy set.

Original language	English
Title of host publication	Studies in Computational Intelligence
Publisher	Springer
Pages	67-92
Number of pages	26
DOIs	https://doi.org/10.1007/978-3-030-45619-1_6
State	Published - 2021
Externally published	Yes

Publication series

Name	Studies in Computational Intelligence
Volume	892
ISSN (Print)	1860-949X
ISSN (Electronic)	1860-9503

Bibliographical note

Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021.

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10.1007/978-3-030-45619-1_6

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abstract = "Although fuzzy control technique has been widely developed in main scientific applications and engineering system, a challenging research problem how to design the appropriate parameters of fuzzy controller in the different applications still has drawn attention of researchers in various fields. Two approximating-based methods included in this paper are summarized from our previous work. One is that the parameters of Gaussian membership function can be approximately calculated when the range and mean of the input data are given. Another is that a best crisp approximation of fuzzy set can be calculated such that an interval type-2 fuzzy set can be reduced to a type-1 fuzzy set.",

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Applications of type-2 fuzzy sets with set approximation approaches: A summary

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