On Soft Sets based on ES Structure, El-Algebra

This paper discusses the properties and structures of ES structure on soft sets in the framework of Liu [5], [6]. In 1998, Liu gave AFS structure, El-algebra and Ell-algebra. The introduced ES structure is an infinite distributive molecular lattice, which is different from Boolean algebra, and hence called an El-algebra. It is also proved that the introduced ES structure is a complete lattice. On the basis of this EI-algebra, we develop and present here a streamlined soft sets model, which can be helpful for tackling difficult decision making problems, and showed that soft sets can be represented by molecular concepts.