Soft Ideals of a Soft Lattice
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 8, Issue 2
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 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.
Authors and Affiliations
E. K. R. Nagarajan , P. Geetha
Keywords
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