In this paper, we intend to study an algebraic approach on rough sets. We introduce the concept of rough semigroup, rough monoid and rough ideals on the set of all rough sets for the given information system together with the operation Praba Δ. We illustrate these concepts through examples.

Chandrasekaran V M

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Manimaran A

B. Praba

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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Journal	Italian Journal of Pure and Applied Mathematics
ISSN	11268042