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Characterization Theorems for Modular and Distributive Soft Lattices

E.K.R.Nagarajan and P.Geetha

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 lattice over a collection of soft sets. In this paper, we define the concept of principle of duality in soft lattices and discuss some related properties of modular and distributive soft lattices. We also establish characterization theorems for modular and distributive soft lattices by their soft sublattices.