A Lattice Structure on Minimal Soft Rough Sets and Its Applications

B. Praba, G. Gomathi () and M. Aparajitha ()
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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

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 02, 255-269

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.

Keywords: Rough set; soft set; coverings (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500155

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