TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING

A. Manimaran, B. Praba, V. M. Chandrasekaran
1.047 254

Abstract


      In this paper, we define the Total graph and the complemented graph of a rough semiring (T, ∆, ∇). We prove that the existence theorem of the total graph and the complemented graph on (T, ∆, ∇) for X U where U is the finite universal set on the set of all rough sets for the given information system I = (U, A) together with the operations praba ∆ and praba ∇. We illustrate these concepts through examples.

Keywords


Semiring, Zero divisor, Zero divisor graph, Rough Semiring

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References


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