From conventional dynamic systems to linguistic dynamic systems

Author

Wang, Fei-Yue ; Yang, Tao

Author_Institution

Dept. of Syst. & Ind. Eng., Arizona Univ., Tucson, AZ, USA

Volume

7

fYear

2002

fDate

6-9 Oct. 2002

Abstract

In this paper, conventional dynamic systems are converted to type-I and type-II linguistic dynamic systems (LDS). The evolving laws of a type-I LDS are the same as those of its conventional counterpart while Its states are linguistic. Since the evolving laws of type-I LDS are In the numerical do. main, a type-I LDS can be directly constructed from its conventional counterpart by using extension principle. The evolving laws of a type-II LDS are modeled by linguistic rules while its states are linguistic. By using extension principle, a method of converting a conventional dynamic system into a type-II LDS is presented. Based on a-cuts, the existence of fixed points of type-I LDS is studied. Also based on a-cuts, an efficient numerical procedure called acute mapping is developed for studying LDS. Numerical examples using a conventional dynamic system, namely, logistic map, are presented.

Keywords

computational linguistics; fuzzy set theory; cellular structures; computing with words; fuzzy dynamic systems; linguistic dynamic systems; linguistic human knowledge; logistic map; Control system synthesis; Fuzzy logic; Fuzzy sets; Humans; Knowledge based systems; Multivalued logic; Power generation economics; Read only memory; Stability analysis; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2002 IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-7437-1

Type

conf

DOI

10.1109/ICSMC.2002.1175731

Filename

1175731