A new fuzzy interpolative reasoning method based on interval type-2 fuzzy sets

Author

Chang, Yu-Chuan ; Chen, Shyi-Ming

Author_Institution

Dept. of Comput. Sci. & Inf. Eng., Nat. Taiwan Univ. of Sci. & Technol., Taipei

fYear

2008

fDate

12-15 Oct. 2008

Firstpage

82

Lastpage

87

Abstract

Fuzzy rule interpolation plays an important role in sparse fuzzy rule-based systems. In this paper, we present a new method for handling fuzzy rule interpolation in sparse fuzzy rule-based systems based on interval type-2 fuzzy sets. The proposed method handles fuzzy rule interpolation based on the principle membership functions and the uncertainty grade functions of interval type-2 fuzzy sets. The proposed method can handle fuzzy rule interpolation with polygonal interval type-2 fuzzy sets. It also can handle fuzzy rule interpolation with multiple antecedent variables and can generate reasonable fuzzy interpolative reasoning results in sparse fuzzy rule-based systems based on interval type-2 fuzzy sets.

Keywords

fuzzy reasoning; fuzzy set theory; interpolation; fuzzy interpolative reasoning method; fuzzy rule interpolation; polygonal interval type-2 fuzzy sets; principle membership functions; sparse fuzzy rule-based systems; uncertainty grade functions; Computer science; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Interpolation; Knowledge based systems; Uncertainty; Fuzzy rule interpolation; interval type-2 fuzzy sets; principal membership functions; sparse fuzzy rule-based systems; uncertainty grade functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on

Conference_Location

Singapore

ISSN

1062-922X

Print_ISBN

978-1-4244-2383-5

Electronic_ISBN

1062-922X

Type

conf

DOI

10.1109/ICSMC.2008.4811255

Filename

4811255