Distributive Lattice: A Rough Set Approach

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DOI:

https://doi.org/10.26637/mjm203/013

Abstract

This paper studies the distributive lattice under the rough set environment and thereby forms a concept of rough distributive lattice. We have discussed the properties of lattice theory in the approximation space and defined rough lattice, rough sublattice and complete rough lattice. We have defined approximation space by using an equivalence relation and then present rough set as a pair of two ordinary sets namely lower and upper approximation sets in the approximation space. The objective of this paper is to study the lattice theory based on rough set by using indiscernibility relation. Some important result are proved. Finally we cite some examples to illustrate the definitions and theories.

Keywords:

Distributive Lattice, Rough Set, Approximation Space, Rough Lattice

Mathematics Subject Classification:

09D99, 06B75, 06D75
  • Sankar Kumar Roy Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India.
  • Susanta Bera Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India.
  • Pages: 273-276
  • Date Published: 01-07-2014
  • Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

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Published

01-07-2014

How to Cite

Sankar Kumar Roy, and Susanta Bera. “Distributive Lattice: A Rough Set Approach”. Malaya Journal of Matematik, vol. 2, no. 03, July 2014, pp. 273-6, doi:10.26637/mjm203/013.