TOTAL GRAPH AND COMPLEMENTED GRAPH OF A ROUGH SEMIRING

Year 2016, Volume: 29 Issue: 2, 459 - 466, 21.06.2016

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

https://izlik.org/JA83LY56ES

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

https://izlik.org/JA83LY56ES

Abstract

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