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

Author

Listed:
  • 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)

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.

Suggested Citation

  • B. Praba & G. Gomathi, 2022. "Hypergraphs and Rough Sets with Their Applications in Decision-Making Problems," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 293-311, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500156
    DOI: 10.1142/S1793005722500156
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    Keywords

    Rough set; hypergraph; lattice;
    All these keywords.

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