Hypergraphs and Rough Sets with Their Applications in Decision-Making Problems

B. Praba () and G. Gomathi
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B. Praba: Department of Mathematics, SSN College of Engineering Chennai, Tamil Nadu, India
G. Gomathi: Department of Mathematics, Institute of Science and Humanities, Saveeetha School of Engineering, Chennai, Tamil Nadu, India

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 293-311

Abstract: In this work, authors introduce a novel rough set called hypergraph rough set using the minimal soft description. A relation ∼ on the set of all hypergraph rough sets T is defined and theoretically proved that (T,∼) is a lattice. The uniqueness of this study is highlighted by combining the hypergraphs and rough set theory. The developed concepts are illustrated through a real-life example which aims at finding the satisfaction level of employees in an organization. A comparative analysis authenticates the accuracy of the newly framed concept over the existing rough set theory.

Keywords: Rough set; hypergraph; lattice (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500156

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