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Title Dialectical boundaries
Author DUGOWSON Stéphane
Keywords Category, Fuzzy, Graph, Lattice, Pretopology, Topology
Topics Graphs, Lattices, Logic, Topology
Abstract The aim of this paper is to propose, under the generic term of dialectical boundaries, a generalization of the concept of boundary, better suited to discrete spaces than the classical topological one. We shall consider first the case of crisp spaces then, after recalling the recent works about the formalization of fuzzy boundaries, we propose a partial typology of the various definitions that they contain, based on the concepts of fuzzy dialectical spaces and of spaces with fuzzy boundaries.
Number 177, Spring 2007
Language   French
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