Volume 55 | Number 1 | Year 2018 | Article Id. IJMTT-V55P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P502
This paper studies the properties of inverse image of a real valued function defined on the set of all soft sets S(U). It is proved that if A is a sigma algebra of subsets of R, then its inverse image 1f-1(A) is also sigma algebra and smallest sigma algebra generated by a set of soft sets is defined.
1. D. Molodtsov (1999), Soft set theory – First Results, Computers and Mathematics withApplications,Vol.37,Issues4-5,Pp.19-31. https://doi.org/10.1016/S0898-1221(99)00056-5
2. H.L Royden, “Real Analysis”, third edition, Macmillan company, Newyork.
3. John H Halton, Sigma algebra theorems, Monte Carlo Methods Appl. Vol. 14 No. 2 (2008), pp. 171–189
4. P.K.Maji, R.Biswas & A.R. Roy (2003), Soft Set Theory, Computers and Mathematics with Applications, Vol. 45, Pp. 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6
P.Nirmala Kumari, Dr.D.V.S.R.Anil Kumar, "Soft Sets and Sigma Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 1, pp. 10-13, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P502