On Semi-Continuous and Semi-Irresolute Soft Multifunctions

Metin AKDAĞ1; Fethullah EROL

doi:https://doi.org/10.14445/22315373/IJMTT-V19P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 1 | Year 2015 | Article Id. IJMTT-V19P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P510

On Semi-Continuous and Semi-Irresolute Soft Multifunctions

Metin AKDAĞ1, Fethullah EROL

Abstract

In this paper, we introduce the concept of upper (lower) semi continuous and upper (lower) semi irresolute soft multifunctions that defined sense [9] and obtain some characterizations and several properties concerning these soft multifunctions. Also, the relationship between these soft multifunctions are investigated.

Keywords

Soft semi open sets, soft topology, soft multifunctions, 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, The Multifunction Between Soft Topological Spaces, submitted.
[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.
[11] B. Chen, Soft semi open sets and related properties in soft topological spaces, Appl. Math. and Inf. Sci., 7(1), (2013),287-294.
[12] M. Akdağ, A. Ozkan, Soft b-open sets and soft b-continuous functions, Math Sci (2014) 8:124 DOI 10.1007/s40096-014-0124-7.

Citation :

Metin AKDAĞ1, Fethullah EROL, "On Semi-Continuous and Semi-Irresolute Soft Multifunctions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 1, pp. 74-79, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P510