Some Chaotic Properties of Discrete Fuzzy Dynamical Systems
Some Chaotic Properties of Discrete Fuzzy Dynamical Systems
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DOI：
10.1155/2012/875381
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发表时间：
2012-12
影响因子：
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通讯作者：
Yaoyao Lan;Qingguo Li;Chunlai Mu;Hua Huang
中科院分区：
文献类型：
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作者：
Yaoyao Lan;Qingguo Li;Chunlai Mu;Hua Huang
设一个度量空间、一个连续映射和具有Hausdorff度量的非空模糊紧子集的空间，可以研究Zadeh扩展的动力学性质。在本文中，作为对Roman-Flores和Chalco-Cano 2008提出的问题的回应，我们提出了与之间的一些混沌关系。更具体地说，我们研究了系统中的传递性、弱混合性、周期密度，以及它们与模糊化系统中相同密度的联系。
Letting be a metric space, a continuous map, and the space of nonempty fuzzy compact subsets of with the Hausdorff metric, one may study the dynamical properties of the Zadeh's extension . In this paper, we present, as a response to the question proposed by Roman-Flores and Chalco-Cano 2008, some chaotic relations between and . More specifically, we study the transitivity, weakly mixing, periodic density in system , and its connections with the same ones in its fuzzified system.