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A Lattice Structure on Minimal Soft Rough Sets and Its Applications

Author

Listed:
  • B. Praba

    (SSN College of Engineering, Kalavakkam, Tamil Nadu, India)

  • G. Gomathi

    (SSN College of Engineering, Kalavakkam, Tamil Nadu, India)

  • M. Aparajitha

    (Manipal College of Medical Sciences, Pokhara, Nepal)

Abstract

Rough sets defined in terms of soft sets play a vital role in decision making problems. Covering-based soft rough sets and modified soft rough sets are some of the recently developing concepts. In this paper, for a given soft sets G=(F,A) on a universe U, we define a novel rough set called as minimal soft rough sets using minimal soft description of the objects. The relation between modified soft rough set and minimal soft rough set is analyzed. The set of all minimal soft rough sets is proved to be a Poset with the inclusion relation having a GLB and LUB and hence is a lattice. An attempt is made in applying this concepts in medical diagnoses and also in analyzing the organizational culture system.

Suggested Citation

  • B. Praba & G. Gomathi & M. Aparajitha, 2020. "A Lattice Structure on Minimal Soft Rough Sets and Its Applications," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 255-269, July.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:02:n:s1793005720500155
    DOI: 10.1142/S1793005720500155
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    Keywords

    Rough set; soft set; coverings;
    All these keywords.

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