A fuzzy rule interpolation technique based on bi-splines in multiple input systems

Author

Kawaguchi, Mayuka E. ; Miyakoshi, Masaaki

Author_Institution

Div. of Syst. & Inf. Eng., Hokkaido Univ., Sapporo, Japan

Volume

1

fYear

2000

fDate

7-10 May 2000

Firstpage

488

Abstract

This work deals with the problem of nonlinear interpolative reasoning in a sparse fuzzy rule base with multiple input. First of all, the authors introduce a method of fuzzy rule interpolation based on bi-splines and the notion of a fuzzy interpolation function (we call it a fuzzy spline surface in the case of two-input). Then, we propose a method to construct fuzzy partitions (a new dense rule base) through such a fuzzy function, which enables us to execute any conventional approximate reasoning method for arbitrary input

Keywords

fuzzy logic; interpolation; knowledge based systems; multivariable systems; splines (mathematics); approximate reasoning; bi-splines; bisplines; dense rule base; fuzzy partition construction; fuzzy rule interpolation; fuzzy spline surface; multiple input systems; nonlinear interpolative reasoning; sparse fuzzy rule base; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Interpolation; Piecewise linear approximation; Robustness; Spline; Surface treatment; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2000. FUZZ IEEE 2000. The Ninth IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1098-7584

Print_ISBN

0-7803-5877-5

Type

conf

DOI

10.1109/FUZZY.2000.838708

Filename

838708