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We introduce a structure to represent observations on entities in order to obtain knowledge about some of their characteristic properties or attributes. This structure is based on the Pawlak's definition of information systems (also knowledge representation systems) and lead us to obtain algebraic structures of lattice depending from the choice of an observational context. The semantical algebraic structure so obtained is of local Boolean manifold whose global structure is an orthoposet which shows...
The main goal of this paper is the investigation of a relevant
property which appears in the various definition of deterministic
topological chaos for discrete time dynamical system:
transitivity. Starting from the standard Devaney's notion of topological chaos
based on regularity, transitivity, and sensitivity to the initial
conditions, the critique formulated by Knudsen is taken into
account in order to exclude periodic chaos from this definition.
Transitivity (or some stronger versions of it)...
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