GÜZİDE ŞENEL

Characterization of Soft Sets by  ̃-soft Operations

The purpose of this paper is to introduce new structures of -soft sets in soft ditopological (SDT) spaces and study -soft operations such as -soft interior, -soft closure, -soft boundary and -soft exterior. This study is therefore organized the analogies between the concepts of -soft operations, on the other, are strongly emphasized. Moreover, a result which play a pivotal role in the characterization of -soft open sets is found out.

Anahtar Kelimeler:

Soft sets,  ̃-soft open(closed)set,  ̃-soft nbd,  ̃-soft interior(exterior),  ̃-soft closure(boundary), soft topology, soft ditopology

Characterization of Soft Sets by  ̃-soft Operations

Keywords:

Soft sets,  ̃-soft open(closed)set,  ̃-soft nbd,  ̃-soft interior(exterior),  ̃-soft closure(boundary), soft topology, soft ditopology,

PDF

___

[1] Molodtsov, D.A., “Soft set theory-first results”, Computers and Mathematics with Applications, 37: 19-31, (1999).
[2] Molodtsov, D., Leonov, V.Y., Kovkov, D.V.: “Soft sets technique and its application”. Nechetkie Sistemy i Myagkie Vychisleniya, 1(1): 839, (2006).
[3] Maji, P.K., Biswas, R., Roy, A.R., “An Application of Soft Sets in A Decision Making Problem”, Computers and Mathematics with Applications, 44: 1077- 1083, (2002).
[4] Maji, P.K., Biswas, R., Roy, A.R., “Soft set theory”, Computers and Mathematics with Applications, 45: 555-562, (2003).
[5] Pie, D., Miao, D., “From soft sets to information systems”, Granular Comput, 2005 IEEE Inter. Conf., 2: 617-621, (2005).
[6] Chen, D, “The parametrization reduction of soft sets and its applications”, Comput. Math. Appl., 49: 757-763, (2005).
[7] Aygünoğlu, A. Aygün, H., “Some notes on soft topological spaces”, Neural Computation and Application, 21: 113-119, (2012).
[8] Çağman, N., Karatas, S, Enginoğlu, S., “Soft topology”, Computers & Mathematics with Applications, 62(1): 351-358, (2011).
[9] Hussain, S, Ahmad, B., “Some properties of soft topological spaces”, Comput. Math. Appl., 62: 4058-4067, (2011).
[10] Shabir, M., Naz, M., “On soft topological spaces”, Computers and Mathematics with Applications, 61: 1786-1799, (2011).
[11] Dizman, T. et. al., “Soft Ditopological Spaces”, Filomat, 30(1): 209-222, (2016).
[12] Şenel, G., The Theory of Soft Ditopological Spaces, International Journal of Computer Applications, 150(4):1-5, (2016).
[13] Aktaş, H., Çağman, N., “Soft sets and soft groups”, Information Sciences, 177(1): 2726-2735, (2007).
[14] Ça˘gman, N., Engino˘glu, S., “Soft set theory and uni-int decision making”, European Journal of Operational Research, 207: 848-855, (2010).
[15] Şenel, G., “A Comparative Research on the Definition of Soft Point”, International Journal of Computer Applications, 163(2):1-5, (2017).