Downloads: 111
Research Paper | Mathematics | India | Volume 3 Issue 5, May 2014
Soft Atoms and Soft Complements of Soft Lattices
E. K. R. Nagarajan | P. Geetha [4]
Abstract: Soft set theory was introduced by Molodtsov in 1999 as a mathematical tool for dealing with problems that contain uncertainty. Faruk Karaaslan et al. [6] defined the concept of soft lattices; modular soft lattices and distributive soft lattices over a collection of soft sets. In this paper; we define the concept of complemented soft lattices and complemented distributive soft lattices over a collection of soft sets; study their related properties and illustrate them with some examples. We also define the concept of soft Boolean algebras; soft atoms of soft lattices and discuss the theorems related to soft atoms. In addition; we establish representation theorem for finite soft Boolean algebras.
Keywords: Soft atoms, soft complements, complemented soft lattices, soft Boolean algebras
Edition: Volume 3 Issue 5, May 2014,
Pages: 529 - 534
Similar Articles with Keyword 'Soft'
Downloads: 169 | Weekly Hits: ⮙2 | Monthly Hits: ⮙4
Research Paper, Mathematics, Nigeria, Volume 6 Issue 8, August 2017
Pages: 1893 - 1895Integer Linear Programming Applied to Nurses Rostering Problem
A. A. Maidamisa | H. A. Odiniya [3]
Downloads: 1
Research Paper, Mathematics, India, Volume 3 Issue 6, June 2014
Pages: 810 - 814A New Class of Homeomorphisms in Soft Topological Spaces
C. Janaki | D. Sreeja