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On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis
Wang, FY
Source PublicationINFORMATION SCIENCES
2005-03-04
Volume171Issue:1-3Pages:233-259
SubtypeArticle
AbstractLinguistic dynamic systems (LDS) are dynamic processes involving mainly computing with words instead of numbers for modeling and analysis of complex systems and human-machine interfaces. The goal of studying LDS is to establish a methodology of design, modeling, and analysis of complex decision-making processes bridging the machine world in numbers and the human world in words. Specifically in this paper, conventional dynamic systems are converted to different types of LDS for the purpose of verification and comparison. The evolving laws of a type-I LDS are constructed by applying the fuzzy extension principle to those of its conventional counterpart with linguistic states. The evolution of type-I LIDS represents the dynamics of state uncertainty derived from the corresponding conventional dynamic process. In addition to linguistic states, the evolving laws of type-II LDS are modeled by a finite number of linguistic decision rules. Analysis of fixed points is conducted based on point-to-fuzzy-set mappings and linguistic controllers are designed for goals specified in words for type-II LDS. An efficient numerical procedure called alpha-cuts mapping is developed and applied to obtain extensive simulation results. (C) 2004 Elsevier Inc. All rights reserved.
KeywordLinguistic Dynamic Systems Computing With Words Linguistic Analysis Linguistic Controllers
WOS HeadingsScience & Technology ; Technology
WOS KeywordFUZZY-LOGIC ; SETS
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000227448600012
Citation statistics
Cited Times:38[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9186
Collection09年以前成果
Corresponding AuthorWang, FY
Affiliation1.Univ Arizona, Dept Syst & Ind Engn, Program Adv Res Complex Syst, Tucson, AZ 85721 USA
2.Chinese Acad Sci, Key Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Wang, FY. On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis[J]. INFORMATION SCIENCES,2005,171(1-3):233-259.
APA Wang, FY.(2005).On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis.INFORMATION SCIENCES,171(1-3),233-259.
MLA Wang, FY."On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis".INFORMATION SCIENCES 171.1-3(2005):233-259.
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