A new continuous t-norm and its application in fuzzy control

Author

Chen, Dan ; He, Huacan ; Ji, Yuqin ; Wang, Hui

Author_Institution

Dept. of Comput. Sci. & Eng., Northwestern Polytech. Univ., Xian, China

Volume

3

fYear

2000

fDate

2000

Firstpage

1795

Abstract

In conventional fuzzy control, MAX and MIN operators are usually adopted, but MIN and MAX operations only consider the extreme elements and ignore the contributions of other elements, which will inevitably affect the control performance. To solve this problem, we presented a new kind of t-norm and t-conorm, which can vary through Lukasiewicz operators, probability operators, and Zadeh operators with a correlation coefficient h ranging from [-1, 1]. On this basis we present simplified AND and OR operators to replace MAX and MIN operators in fuzzy control. In the simulation we use genetic algorithms to optimize the correlation coefficients and the simulation result shows that our method is better than the conventional one

Keywords

fuzzy control; fuzzy set theory; genetic algorithms; probability; AND operator; Lukasiewicz operators; OR operator; Zadeh operators; continuous t-norm; correlation coefficient; probability operators; t-conorm; Application software; Boundary conditions; Computer science; Fuzzy control; Fuzzy sets; Fuzzy systems; Genetic algorithms; Logic; Optimization methods; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on

Conference_Location

Hefei

Print_ISBN

0-7803-5995-X

Type

conf

DOI

10.1109/WCICA.2000.862783

Filename

862783