Semiring on Roughsets

B  Praba; V  M  Chandrasekaran  and A  Manimaran

doi:10.17485/ijst/2015/v8i3/60873

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i3/60873

Year: 2015, Volume: 8, Issue: 3, Pages: 280–286

Original Article

Semiring on Roughsets

B. Praba¹, V. M. Chandrasekaran² and A. Manimaran^2*

¹SSN College of Engineering, Kalavakkam, Chennai - 603110, India; prabab@ssn.edu.in

² Applied Algebra Division, School of Advanced Sciences, VIT University, Vellore - 632014, India; vmcsn@yahoo.com, marans2011@gmail.com

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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 ∆ and praba ∇. We illustrate these concepts through examples.

Keywords:
Roughset, Pivot Set, Semigroup, Monoid, Regular Semigroup, Semiring, Ideals