- Gazi University Journal of Science
- Vol: 29 Issue: 2
- TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING
TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING
Authors : A. Manimaran, B. Praba, V. M. Chandrasekaran
Pages : 459-466
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Publication Date : 2016-06-20
Article Type : Other
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