Abstract
Approximation Spaces were introduced in order to analyse data on the basis of Indiscernibility Spaces, that is, spaces of the form 〈U, E〉, where U is the universe of data and E is an equivalence relation on U. Various authors suggested considering spaces of the form 〈U, R〉, where R is any relation. This paper aims at introducing a further step consisting in spaces of the form 〈U, {R}i∈I〉, where {R}i∈I〉 is a family of relations on U, that we call “Dynamic Spaces”, because they make it possible to account for different forms of dynamics. While Indiscernibility Spaces induce 0-dimensional topological spaces (Approximation Spaces), Dynamic Spacess induce various types of pre-topological spaces.
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Pagliani, P. (2003). Pre-topologies and Dynamic Spaces. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2003. Lecture Notes in Computer Science(), vol 2639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39205-X_19
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DOI: https://doi.org/10.1007/3-540-39205-X_19
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