Graph Theory
Gm-closure space
Near rough
graphs
near exact graphs
Near fuzzy graphs
Near rough
membership function.
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The basic concepts of some near open subgraphs, near rough,
near exact and near fuzzy graphs are introduced and
sufficiently illustrated. The Gm-closure space induced by
closure operators is used to generalize the basic rough graph
concepts. We introduce the near exactness and near
roughness by applying the near concepts to make more
accuracy for definability of graphs. We give a new definition
for a membership function to find near interior, near
boundary and near exterior vertices. Moreover, proved
results, examples and counter examples are provided. The
Gm-closure structure which suggested in this paper opens up
the way for applying rich amount of topological facts and
methods in the process of granular computing.