A similarity measure between interval type-2 fuzzy sets

Author

Zheng, Gao ; Wang, Jing ; Zhou, Wengwei ; Zhang, Yong

Author_Institution

Sch. of Electr. Eng., Southwest Jiaotong Univ., Chengdu, China

fYear

2010

fDate

4-7 Aug. 2010

Firstpage

191

Lastpage

195

Abstract

The fuzzy similarity measure shows the similar degree of two fuzzy sets (FSs) and can be used in various areas. There are numerous studies as to it on type-1 fuzzy sets (T1 FSs), but little attention has been received on type-2 fuzzy sets (T2 FSs). In this paper, a new similarity measure between interval type-2 fuzzy sets (IT2 FSs) is proposed. Firstly, we select an axiomatic definition for the new similarity measure. Then, according to the selected definition, we propose a computation formula. Finally, we give examples to explain its calculation and combine it with Yang and Shih´s clustering method for an application of clustering analysis of Gaussian IT2 FSs. The results show that the proposed similarity measure is reasonable and acceptable for IT2 FSs.

Keywords

fuzzy set theory; statistical analysis; Gaussian IT2 FS; axiomatic definition; clustering analysis; fuzzy similarity measure; interval type-2 fuzzy sets; Approximation methods; Area measurement; Clustering methods; Cognition; Entropy; Frequency selective surfaces; Fuzzy sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Automation (ICMA), 2010 International Conference on

Conference_Location

Xi´an

ISSN

2152-7431

Print_ISBN

978-1-4244-5140-1

Electronic_ISBN

2152-7431

Type

conf

DOI

10.1109/ICMA.2010.5589072

Filename

5589072