Soft Atoms and Soft Complements of Soft Lattices

E. K. R. Nagarajan, P. Geetha

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

How to Cite?: E. K. R. Nagarajan, P. Geetha, "Soft Atoms and Soft Complements of Soft Lattices", Volume 3 Issue 5, May 2014, International Journal of Science and Research (IJSR), Pages: 529-534, https://www.ijsr.net/getabstract.php?paperid=20131823, DOI: https://dx.doi.org/10.21275/20131823