| On Fixed Points of Linguistic Dynamic Systems |
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| 作者姓名： | WANGFei－yue MOHong 等 |
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| 作者单位： | [1]ProgramforAdvancedResearchinComplexSystems（PARCS）DepartmentofSysemsandIndustrialEngineeringUniversityofArizona,Tucson,AZ85721－0020USA [2]TheIntelligentControlandSystemsEngineering,Tucson,AZ85721－0020USA |
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| 基金项目： | This work has been supported in part by Outstanding Overseas Scholar Award and Outstanding Young Scientist Research Fund. |
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| 摘 要： | 1 Introduction1 Humans employ mostly words in computing and reasoning arriving at conclusions expressed as words from premises expressed in a natural language. When we deal with a special type of dynamic system that modeled by 搘ords? we use the theory of linguistic dynamic systems (LDS) by Wang17, 18]. This is true especially when we deal with social or economic, rather than engineering or physical systems. For many large complex systems, however, due to the complexity involved and the in…
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| 关 键 词： | 计算机语言 语言动力系统 LDS |
On Fixed Points of Linguistic Dynamic Systems |
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| WANG Fei-yue,YANG Tao,MO Hong.On Fixed Points of Linguistic Dynamic Systems[J].Journal of System Simulation,2002,14(11):1479-1485. |
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| Authors: | WANG Fei-yue YANG Tao MO Hong |
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| Abstract: | Linguistic dynamic systems (LDS) are dynamic system whose state variables are generalized from numbers to words.Generally speaking,LDS can model all evolving processes in word domains by using linguistic evolving laws which are naturally the linguistic extension of evolving laws in numbers.There are two kinds of LDS:namely,type-I and type-II LDS.If the word domain is modeled by fuzzy sets,then the evolving laws of a type-I LDS are constructed by applying the fuzzy extension principle to those of its conventional counterpart.On the other hand,the evolving laws of a type-II LDS are modeled by fuzzy if/then rules.Note that the state spaces of both type-I and type-II LDSs are word continuum.However,in practice,the representation of the state space of a type-II LDS consists of finite number while its computation actually involves a word continuum.In this paper,the existence of fixed points of type-II LDS is studied based on point-to-fuzzy-set mappings.The properties of the fixed point of type-II LDS are also studied.In addition,linguistic controllers are designed to control type-II LDS to goal states specified in words. |
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| Keywords: | word LDS fixed points linguistic controller |
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