In this paper, we discuss the concepts of commutative regular monoid on rough sets under Praba ∇. We introduce the concept of rough semigroup, rough monoid and regular rough monoid on the set of all rough sets for the given information system together with the operation Praba ∇. We illustrate these concepts through examples. © Research India Publications.

Manimaran A

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Chandrasekaran V M

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	International Journal of Applied Engineering Research
Publisher	Research India Publications
ISSN	09734562