Abstract
The notions of double-framed soft subfields, double-framed soft algebras over double-framed soft subfields, and double-framed soft hypervector spaces are introduced, and their properties and characterizations are considered.
Highlights
The concept of soft set has been introduced by Molodtsov in 1999 [1] as a new mathematical tool for dealing with uncertainties
Some research papers have appeared on the algebraic structures of soft set theory dealing with uncertainties
In 2007, Aktas and Cağman [2] studied the basic concepts of soft set theory and compared soft sets to fuzzy and rough sets, providing examples to clarify their differences
Summary
The concept of soft set has been introduced by Molodtsov in 1999 [1] as a new mathematical tool for dealing with uncertainties. In 2007, Aktas and Cağman [2] studied the basic concepts of soft set theory and compared soft sets to fuzzy and rough sets, providing examples to clarify their differences. They discussed the notion of soft groups. Cağman and Enginoğlu [3] introduced fuzzy parameterized (FP) soft sets and investigated their related properties. They proposed a decision making method based on FP-soft set theory and provided an example which shows that the method can be successfully applied to the problems that contain uncertainties. In this paper, using the notion of DFS sets which is introduced in [14], we introduce the notions of double-framed soft subfields, double-framed soft algebras over double-framed soft subfields, and double-framed soft hypervector spaces, and we investigate their properties
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
