In this paper, we initiate to deal the concepts of ideals on rough sets. Also we introduce the notions Rough pivot set and semiring on the set of all rough sets for the given information system together with the operations praba δ and praba ▿. We illustrate these concepts through examples.

Chandrasekaran V M

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Manimaran A

Praba B

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Indian Journal of Science and Technology

In this paper, we give a characterization of the rough semiring (T, Δ , ∇). The order of a rough semiring is also derived. We present the idea of rough homomorphism on the set of all rough sets for the given information system together with the operations Praba Δ and Praba ∇. We illustrate these concepts through examples. © 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

Journal	Indian Journal of Science and Technology
Publisher	Indian Society for Education and Environment
ISSN	0974-6846
Open Access	No