Modeling of extremal fuzzy dynamic systems. Part Ⅲ. Modeling of extremal and controllable extremal fuzzy processes

G. SIRBILADZE

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Modeling of extremal fuzzy dynamic systems. Part Ⅲ. Modeling of extremal and controllable extremal fuzzy processes

机译：极值模糊动态系统的建模。第三部分。极值和可控极值模糊过程的建模

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New approaches in modeling the so-called extremal fuzzy dynamic systems (EFDSs) are developed. Applying the results of Parts Ⅰ and Ⅱ, fuzzy processes with possibilistic uncertainty, the source of which is extremal fuzzy time intervals, are constructed. Fuzzy-integral representations of controllable extremal fuzzy processes (CEFPs) are given. The dynamics of EFDSs is described. Questions as to the ergodicity of EFDSs are considered, using the properties of both extended composition extremal fuzzy measures and H_ω-compositions over them (Part Ⅱ). Sufficient conditions are proved for stationary CEFPs to be ergodic.

机译：开发了对所谓的极端模糊动态系统（EFDS）建模的新方法。利用第一和第二部分的结果，构造了具有不确定性的模糊过程，其来源是极端的模糊时间间隔。给出了可控极值模糊过程（CEFP）的模糊积分表示。描述了EFDS的动力学。利用扩展成分极值模糊测度和它们上方的H_ω组成的性质，考虑了EFDSs的遍历性问题（第二部分）。证明了足以使固定式CEFP遍历的条件。

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来源
《International journal of general systems》 |2005年第2期|p.169-198|共30页
作者
G. SIRBILADZE;
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作者单位

Department of Applied Mathematics and Computer Sciences, I. Javakhishvili Tbilisi State University 2, University Street, Tbilisi 0143, Georgia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类管理学;
关键词
extremal fuzzy processes; fuzzy-integral representations of controllable fuzzy processes; ergodicity of extremal fuzzy processes; fuzzy dynamic systems;

机译：极值模糊过程;可控模糊过程的模糊积分表示;极值模糊过程的遍历性;模糊动态系统;

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Modeling of extremal fuzzy dynamic systems. Part Ⅲ. Modeling of extremal and controllable extremal fuzzy processes

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