On linguistic analysis of numerical dynamic systems
Fei–Yue Wang, Tao Yang · 2003
Linguistic dynamic systems (LDS) are man-machine interfaces for bridging between the machine world in numbers and the human world in words. The evolving laws of a type-I LDS are constructed by applying the fuzzy extension principle to those of its conventional counterpart while its states are linguistic. The evolving laws of a type-II LDS are modeled by linguistic rules while its states are also linguistic. In this paper, the existence of fixed points of type-II LDS is studied based on point-to-fuzzy-set mappings. Linguistic controllers are designed to control type-II LDS to goal states specified in words.