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Fuzzy covering problem based on the expert valuations
MMACTEE'09 Proceedings of the 11th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
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Any physical or geometrical variation on a natural dynamical system should be identified by an observer. Also a method is required to compare different observers and evaluate their perspectives. Moreover complexity and/or uncertainty of the system should be measured through viewpoint of observers. In the approach presented in this paper an observer is identified mathematically by a function µ : X → [0, 1], where X denotes the base space of the system; the µ-Fuzzy Topology is defined as a description of the topological notion on X by the eyes of the observer µ. This idea will be applied to the other physical and geometrical notions such as minimality, transitivity and topological entropy for a fuzzy dynamical system on X. It will suggest a rational description of uncertainty in natural systems.