Soft Ideals of a Soft Lattice

International Journal of Mathematical Trends and Technology (IJMTT)          
© 2014 by IJMTT Journal
Volume-8 Number-2
Year of Publication : 2014
Authors : E.K.R.Nagarajan , P.Geetha


E.K.R.Nagarajan , P.Geetha. "Soft Ideals of a Soft Lattice", International Journal of Mathematical Trends and Technology (IJMTT). V8:112-119 April 2014. ISSN:2231-5373. Published by Seventh Sense Research Group.

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 soft ideals and soft filters over a collection of soft sets, study their related properties and illustrate them with some examples. We also define the maximum and minimum conditions in soft lattice. In addition, we characterize soft modularity and soft distributivity of soft lattices of soft ideals.


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Soft lattices, soft filters , distributive soft lattices, modular soft lattices, soft lattice of soft ideals.