TY - JOUR T1 - On defining soft spaces by weak soft neighborhood systems AU - Ozturk, Taha Yasin PY - 2016 DA - March JF - New Trends in Mathematical Sciences PB - Mustafa BAYRAM WT - DergiPark SN - 2147-5520 SP - 113 EP - 124 VL - 4 IS - 2 LA - en AB - In the present paper, we define the concepts of weak soft neighborhood space, soft $w^{s}( \widetilde{\varphi },\widetilde{\varphi }^{^{\prime}}) -continuous$, soft $w^{s}-continuous$ and soft $w^{s^{\ast }}-continuous$ on weak soft neighborhood spaces. Finally, we introduce theirbasic properties and some examples. KW - Weak soft neighborhood systems KW - weak soft neighborhood spaces CR - Aktaş H. and Cağman N., Soft sets and soft group, Information Science 177 (2007) 2726-2735. Bayramov S., Gunduz (Aras) C. and Demirci N., A new approach to inverse and direct systems of soft topological spaces, Maejo International Journal of Science and Technology, 10(01) (2016) 51-65. CR - Bayramov S. and Gunduz (Aras) C., Soft locally compact spaces and soft paracompact spaces, Journal of Mathematics and System Science, 3 (2013) 122-130. CR - Csaszar A., Generalized topology, generalized continuity, Acta. Math. Hungar. 96 (2002) 351-357. CR - Cağman N., Karatao S. and Enginoğlu S., Soft topology, Comput. Math. Appl. (2011) 351-358. CR - Gunduz A. C., Sonmez A. and C¸ akallı H., On soft Mappings, (to appear). CR - Maji P. K., Bismas R. and Roy A. R., Soft Set Theory, Comput. Math. Appl. 45 (2003) 555-562. CR - Min W. K., On weak neighborhood systems and spaces, Acta. Math. Hungar. 121 (3) (2008) 283-292. CR - Molodtsov D., Soft Set Theory-First Results, Comput. Math. Appl.37 (1999) 19-31. CR - Ozturk T. Y. and Bayramov S., Soft mapping spaces, The Scientific World Journal, Article ID 307292, (2014) 8p. CR - Shabir M. and Naz M., On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799. CR - Shabir M. and Bashir A., Some properties of soft topological spaces, Comput. Math. Appl. 62 (2011) 4058-4067. CR - Sahin R. and Küçük A., Soft Filters and Their Convergence Properties, Annals of Fuzzy Mathematics and Informatics 6(3) (2013) 529-543. CR - Sahin R., Soft compactification of soft topological spaces: Soft star topological spaces, Annals of Fuzzy Mathematics and Informatics 10(2) (2015) 447-464. CR - Thomas J. and John J. S., On soft generalized topological spaces, Journ. of New Results in Sci. 4 (2014) 01-15. UR - https://dergipark.org.tr/en/pub/ntims/issue//518896 L1 - https://dergipark.org.tr/en/download/article-file/636070 ER -