Balanced and Absorbing Soft Sets

Year 2015, Volume: 4 Issue: 8, 36 - 46, 29.05.2015

Sanjay Roy

Abstract

The aim of this paper is to define the balanced softset and absorbing soft set over a linear space and construct someuseful theorem depending upon these concepts

Keywords

Soft set, balancedSoft set, absorbing Soft set

References

• U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Computers and Mathe- matics with applications 59, 3458-3463, 2010.
• H. Aktas, N.cagman, Soft sets and soft groups, Information Science 177, 2726-2735, 2007.
• N. Cagman, S. Enginoglu, Soft set theory and uni−int decision making, European Journal of Operational Research, 207, 848-855, 2010.
• J. Ghosh, T. K. Samanta, S. K. Roy, A note on operations of intuitionistic fuzzy soft sets, Journal of Hyperstructures 2 (2), 163-184, 2013.
• J. Ghosh, B. Dinda, T. K. Samanta, Fuzzy soft rings and fuzzy soft ideals, Int. J. Pure Appl. Sci. Technol., 2(2), 66-74, 2011.
• P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44(8-9), 1077-1083, 2002.
• D. Molodtsov, Soft set theory-First results, Computers and Mathematics with Ap- plications 37(4-5), 19-31, 1999.
• S. Roy, T.K. Samanta, A note on a Soft Topological Space, Punjab University Journal of Mathematics 46(1), 19-24, 2014.
• S. Roy, T.K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3(2), 305-311, 2012.
• S. Roy, T.K. Samanta, An introduction of open and closed sets on fuzzy soft topo
• logical spaces, Annals of Fuzzy Mathematics and Informatics 6(2), 425-431, 2013.
• S. Roy, T.K. Samanta, Some Properties of Vector Sum and Scalar Multiplication
• of Soft Sets over a Linear Space, Communicated.