Rough Set Theory Applied to Simple Undirected Graphs
The incidence matrix of a simple undirected graph is used as an information table. Then, rough set notions are applied to it: approximations, membership function, positive region and discernibility matrix. The particular cases of complete and bipartite graphs are analyzed. The symmetry induced in graphs by the indiscernibility relation is studied and a new concept of generalized discernibility matrix is introduced.
KeywordsUndirected graphs Neighborhood Discernibility matrix Complete graphs Bipartite graphs Symmetry
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