Within this contribution we establish a theoretical background for studying inverse limits of fuzzy dynamical systems induced by crisp (non-fuzzy) ones. First, we elaborate topological properties of the space of fuzzy sets, such as connectedness and compactness. Second, we focus our attention on dynamical conditions sufficient for the existence of indecomposable continua in the inverse limit space.
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Univ Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, ChileUniv Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, Chile
Parra, Sebastian
Munoz-Carpintero, Diego
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Univ OHiggins, Inst Engn Sci, Rancagua 2841935, ChileUniv Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, Chile
Munoz-Carpintero, Diego
Marin, Luis G.
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Univ Los Andes, Dept Elect & Elect Engn, Bogota 111711, ColombiaUniv Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, Chile
Marin, Luis G.
Saez, Doris
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Univ Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, Chile
Inst Sistemas Complejos Ingn, Santiago 8370451, ChileUniv Chile, Fac Math & Phys Sci, Dept Elect Engn, Santiago 8370451, Chile