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扩展原理下区间二型模糊Mealy自动机的语言动力系统
Linguistic Dynamic Systems of Interval Type-2 Fuzzy Mealy Automata Based on Extension Principle
【摘要】 运用区间二型模糊集合的扩展原理,将Mealy自动机转化为区间二型模糊Mealy自动机(interval type-2fuzzy Mealy automata,IT2FMA),提出了应用IT2FMA作为词计算的形式模型来研究语言动力系统,分析了IT2FMA输入分别为数值符号串和词串时间复杂度的关系,研究了IT2MFA下的语言动力学轨迹。通过供水控制系统验证了模型的可行性和有效性,结果表明:通过选择合适的状态转移函数和输出函数,当输入变化时,IT2FMA能做出正确的决策。
【Abstract】 The extension principle of interval type-2 fuzzy sets was used to convert Mealy automata to the corresponding interval type-2 fuzzy Mealy automata(IT2FMA),and IT2FMA was proposed as the formal model of computing with words to study the linguistic dynamic system(LDS).In addition,the relation of time complexity for a IT2FMA computing string of words in comparison to a computing string of symbols was analyzed,and then the linguistic dynamic orbits based on IT2MFA were studied.Through the water supply control system,the feasibility and the validity of the model were verified.The results demonstrate that IT2FMA can make the right decision by choosing appropriate state transfer function and output function when input changes.
【Key words】 extension principle; interval type-2 fuzzy sets; computing with words; Mealy automata; linguistic dynamic systems;
- 【文献出处】 山东科技大学学报(自然科学版) ,Journal of Shandong University of Science and Technology(Natural Science) , 编辑部邮箱 ,2013年01期
- 【分类号】TP301.1
- 【被引频次】7
- 【下载频次】102