TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING

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

Semiring

Abstract

References

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