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In this paper, we define a Cayley graph corresponding to the Rough ideal J of the Rough semiring (T, ∆, ∇). The Domination number of the Rough Ideal based Rough Edge Cayley graphs ( ( )) and ( (  ̂ )) where  ̂ contains the non-trivial elements of J are derived and illustrated through examples. Interpretation of a communication network is done in the form of Rough Ideal based Rough Edge Cayley Graph.

Domination Number of Rough Ideal based Rough Edge Cayley Graph