The Theory of Triangle Type-2 Fuzzy Sets

Author

Lv, Zehua ; Jin, Hai ; Yuan, Pingpeng

Author_Institution

Services Comput. Technol. & Syst. Lab., Huazhong Univ. of Sci. & Technol., Wuhan, China

Volume

1

fYear

2009

fDate

11-14 Oct. 2009

Firstpage

57

Lastpage

62

Abstract

Interval type-2 fuzzy set is the most popular kind of type-2 fuzzy set, its characteristic is that all the secondary membership functions equal to 1. Though interval type-2 fuzzy sets can reduce the calculation complexity than other type-2 fuzzy sets, it loses much fuzzy information simultaneously. In order to solve this problem we propose a novel theory of triangle type-2 fuzzy sets, the formulas for union, intersection and complement of triangle type-2 fuzzy sets are derived and proven in detail. In addition, the relationship and the conversion between triangle type-2 fuzzy sets and interval type-2 fuzzy sets are discussed.

Keywords

computational complexity; fuzzy set theory; calculation complexity; interval type-2 fuzzy set; secondary membership functions; triangle type-2 fuzzy sets theory; Artificial intelligence; Computer science; Frequency selective surfaces; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Gaussian distribution; Grid computing; Information technology; Uncertainty; conversion; triangle; type-1 fuzzy set; type-2 fuzzy set;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer and Information Technology, 2009. CIT '09. Ninth IEEE International Conference on

Conference_Location

Xiamen

Print_ISBN

978-0-7695-3836-5

Type

conf

DOI

10.1109/CIT.2009.79

Filename

5329282