Linguistic dynamic systems and computing with words for complex systems

Author

Wang, Fei-Yue ; Lin, Yuetong ; Pu, James B.

Author_Institution

Intelligent Control & Syst. Eng. Center, Acad. Sinica, Beijing, China

Volume

4

fYear

2000

fDate

2000

Firstpage

2399

Abstract

This paper outlines a computational theory of linguistic dynamic systems for computing with words by fusing procedures and concepts from several different areas: Kosko´s (1992) geometric interpretation of fuzzy sets, Hsu´s (1987) cell-to-cell mappings in nonlinear analysis, equi-distribution lattices in number theory, and dynamic programming in optimal control theory. The proposed framework enables us to conduct a global dynamic analysis, system design and synthesis for linguistic dynamic systems that use words or linguistic terms in computation, based on concepts and methods well developed for conventional dynamic systems. This theory has significant potential for modeling and analysis of systems where model, goal, control and feedback are primarily specified in words or linguistic terms

Keywords

computational linguistics; dynamic programming; fuzzy set theory; number theory; cell-to-cell mappings; complex systems; computational linguistics; computing with words; dynamic programming; equidistribution lattices; fuzzy set theory; geometric interpretation; linguistic dynamic systems; nonlinear analysis; number theory; optimal control theory; Control system synthesis; Control systems; Distributed computing; Dynamic programming; Feedback; Fuzzy sets; Humans; Mathematical model; Nonlinear dynamical systems; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 2000 IEEE International Conference on

Conference_Location

Nashville, TN

ISSN

1062-922X

Print_ISBN

0-7803-6583-6

Type

conf

DOI

10.1109/ICSMC.2000.884350

Filename

884350