On Soft Sets based on ES Structure, El-Algebra
Pooja Yadav, Rashmi Singh
Abstract
Pooja Yadav, Rashmi Singh
Abstract
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.
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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.
Key concepts: Boolean algebra, Algebra over a field, Algebraic structure, Distributive lattice, Distributive property, Lattice (music), Mathematics, Universal algebra