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International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



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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



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