Multifunction between Soft Topological Spaces

Metin AKDAĞ; Fethullah EROL

doi:https://doi.org/10.14445/22315373/IJMTT-V20P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 20 | Number 1 | Year 2015 | Article Id. IJMTT-V20P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V20P508

Multifunction between Soft Topological Spaces

Metin AKDAĞ, Fethullah EROL

Abstract

In this paper, we define the notion of a multifunction between soft topological spaces and study several properties of these multifunctions such as image, upper and lower inverse image, upper and lower continuity etc. Finally, we made an application to the problem of medical diagnosis in medical expert systems on soft multifunction.

Keywords

Soft sets, soft topology, the multifunction between soft topological spaces, soft continuity.

References

[1] D. Molodtsov, Soft set theory - First results, Comput. Math.with Appl. 37 (4/5) (1999) 19-31.
[2] D.V. Kovkov, V. M. Kolbanov, D.A. Molodtsov, Soft sets theory-based optinization, Jr. Comp. and Syst. Sci. Int. 46(6) 2007 872-880.
[3] Maji P. K., Roy A. R., An Application of Soft Sets in a Decision Making Problem, Comput. Math. Appl.44 (2002) 1077-1083.
[4] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799.
[5] Çağman N., Karataş S., Enginoğlu S., Soft topology, Computer Math. Appl. 62, 351-358, 2011
[6] Kharal, A., Ahmad, B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471--481 (2011).
[7] Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555--562 (2003).
[8] Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547--1553 (2009)
[9] M. Akdağ and F. Erol, Upper and Lower Continuity of Soft Multifunctions, Appl. Math. Inf. Sci.,7, 1-8 (2013).
[10] I. Zorlutuna, M. Akdağ, W. K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform. 3(2) (2012) 171-185.

Citation :

Metin AKDAĞ, Fethullah EROL, "Multifunction between Soft Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 20, no. 1, pp. 62-69, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V20P508