TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING

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Gazi University Journal of Science
Volume: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

View : 21 | Download : 7

Publication Date : 2016-06-21

Article Type : Other Papers

Abstract : In this paper, we define the Total graph and the complemented graph of a rough semiring insert ignore into journalissuearticles values( T , ∆ , ∇ ); . We prove that the existence theorem of the total graph and the complemented graph on insert ignore into journalissuearticles values( T , ∆ , ∇ ); for X ⊆ U where U is the finite universal set on the set of all rough sets for the given information system I = insert ignore into journalissuearticles values( 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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