A method for constructing Hedge Algebraic Type-2 Fuzzy Logic Systems

Author

Phong, Phan Anh ; Dong, Dinh Khac ; Khang, Tran Dinh

Author_Institution

Hanoi Univ. of Sci. & Technol., Hanoi, Vietnam

fYear

2011

fDate

11-15 April 2011

Firstpage

58

Lastpage

65

Abstract

In this paper, we have proposed a method for constructing Hedge Algebraic Type-2 Fuzzy Logic Systems (HaT2-FLS) from input-output data with two main phases. In the first phase, the data-driven Type-1 Fuzzy Logic System (T1-FLS) is designed under the combination of Fuzzy C-Means algorithm and Genetic Algorithm (GA). Then we construct the HaT2-FLS on the basis of the above T1-FLS in the second phase. The rule base of T1-FLS is employed for generating the rule base of HaT2-FLS by using the same number of fuzzy sets and rules in both fuzzy logic systems. The difference is that the antecedent and consequent sets of HaT2FLS themselves are Hedge Algebraic Type-2 Fuzzy Sets (HaT2FSs). In later phase, the fuzzy parameters of HaT2FSs are also optimized by GA. Finally, an example is provided to evaluate the performance of the proposed method.

Keywords

algebra; fuzzy logic; fuzzy set theory; genetic algorithms; data-driven type-1 fuzzy logic system; fuzzy c-means algorithm; genetic algorithm; hedge algebraic type-2 fuzzy logic system; hedge algebraic type-2 fuzzy sets; Fuzzy logic; Fuzzy sets; Generators; Genetic algorithms; Pragmatics; Training data; Type-2 fuzzy logic systems; hedge algebra; hedge algebraic type-2 fuzzy logic systems; hedge algebraic type-2 fuzzy sets; type-2 fuzzy sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), 2011 IEEE Symposium on

Conference_Location

Paris

Print_ISBN

978-1-61284-077-2

Type

conf

DOI

10.1109/T2FUZZ.2011.5949556

Filename

5949556