Linguistic dynamic systems based on computing with words and their stabilities

被引:43
作者
Mo Hong [1 ,2 ]
Wang FeiYue [2 ]
机构
[1] Changsha Univ Sci & Technol, Coll Elect & Informat Engn, Changsha 410004, Peoples R China
[2] Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligent Sci, Beijing 100080, Peoples R China
来源
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES | 2009年 / 52卷 / 05期
基金
中国国家自然科学基金;
关键词
computing with words (CW); extension principle; stability; fuzzy rule; degree of match;
D O I
10.1007/s11432-009-0089-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:780 / 796
页数:17
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