A Characterization of the Annihilators of a Rough Semiring
B. Praba1, R. Saranya2, G. Gomathi3
1B. Praba*, Department of Mathematics, SSN College of Engineering, Chennai, Tamilnadu, India.
2R. Saranya, Department of Mathematics, SSN College of Engineering, Chennai, Tamilnadu, India.
3G. Gomathi, Department of Mathematics, SSN College of Engineering, Chennai, Tamilnadu, India.
Manuscript received on January 05, 2020. | Revised Manuscript received on January 25, 2020. | Manuscript published on January 30, 2020. | PP: 3625-3628 | Volume-8 Issue-5, January 2020. | Retrieval Number: D4211118419/2020©BEIESP | DOI: 10.35940/ijrte.D4211.018520
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, the annihilators of a Rough Semiring (T, Δ,) are defined. An equivalence relation is defined on these set of annihilator. It is proved that the set of classes induced by this equivalence relation on the set of annihilators forms a Boolean algebra.
Keywords: Rough Set Theory, Semiring, Annihilators, Ideals.
Scope of the Article: Algorithmic Game Theory.