Abstract
Linguistic dynamic systems (LDS) are the systems based on computing with words (CW) instead of computing with numbers or symbols. In this paper, LDS are divided into two types: type-I LDS being converted from conventional dynamical systems (CDS) by using extension principle and type-II LDS by using fuzzy logic rules. For type-I LDS, the method of endograph is provided to discuss the stabilities of type-I LDS and two cases of stabilities of logistic mappings: one is the states being abstracted and the other is parameters also being abstracted. For type-II LDS, the method of degree of match is used to discuss the dynamical behavior of arbitrary initial words under fuzzy rule.
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