The goal of this study is to consider the natural interrelations between all of the (fuzzy) soft topological spaces in the categorical viewpoint. For this reason, the categories of (fuzzy) soft topological spaces are constructed and then the relations between these categories are observed by using the defined functors.
AhmadB. and KharalA., On fuzzy soft sets, Advances in Fuzzy Systems2009 (2009), Article ID 586507.
2.
AygünoğluA.and AygünH., Some notes on soft topological spaces, Neural Comput and Applic21 (2012), 113–119.
3.
AygünoğluA.and AygünH., Introduction to fuzzy soft groups, Computers and Mathematics with Applications58 (2009), 1279–1286.
4.
AygünoğluA., ÇetkinV. and AygünH., An introduction to fuzzy soft topological spaces, Hacettepe Journal of Mathematics and Statistics43(2) (2014), 197–208.
5.
ChangC.L., Fuzzy topological spaces, J Math Anal Appl24 (1968), 182–190.
6.
ÇağmanN. and EnginoğluS., Soft set theory and uni-int decision making, European Journal of Operational Research207 (2010), 848–855.
7.
ÇetkinV. and AygünH., A note on fuzzy soft topological spaces, The 8th Congerence of the European Society for Fuzzy Logic and Technology, Atlantis Press Proceedings, EUSFLAT, Milan-Italy, 2013, pp. 56–60. 10.2991/eusflat.2013.8.
8.
ÇetkinV. and AygünH., On fuzzy soft topogenous structure, Journal of Intell and Fuzzy Systems27 (2014), 247–255.
9.
ÇetkinV. and AygünH., Lowen functors in fuzzy soft topological spaces, submitted.
JunY.B., LeeK.J. and ParkC.H., Fuzzy soft set theory applied to BCK/BCI-algebras, Computers and Mathematics with Applications59 (2010), 3180–3192.
12.
KharalA. and AhmadB., Mappings on fuzzy soft classes, Advances in Fuzzy Systems2009 (2009), Article ID 407890.
13.
KharalA. and AhmadB., Mappings on soft classes, to appear in New Mathematics and Natural Computation.
14.
LowenR., Fuzzy topological spaces and fuzzy compactness, J Math Anal Appl56 (1976), 621–633.
15.
MajiP.K., BiswasR. and RoyA.R., Fuzzy soft sets, Journal of Fuzzy Mathematics9(3) (2001), 589–602.
16.
MajiP.K., BiswasR. and RoyA.R., Soft set theory, Comput Math Appl45 (2003), 555–562.
17.
MolodtsovD., Soft set theory-First results, Computers and Mathematics with Applications37(4/5) (1999), 19–31.
18.
PeiD. and MiaoD., From soft sets to information systems, Granular Computing, 2005 IEEE International Conference on (2), 2005, pp. 617–621.
19.
RoyA.R. and MajiP.K., A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics203 (2007), 412–418.
20.
ShabirM. and NazM., On soft topological spaces, Computers and Mathematics with Applications61 (2011), 1786–1799.
21.
TanayB. and KandemirM.B., Topological structure of fuzzy soft sets, Computers and Mathematics with Applications61 (2011), 412–418.
22.
YangC.-F., Fuzzy soft semigroups and fuzzy soft ideals, Computers and Mathematics with Applications61 (2011), 255–261.
23.
ZadehL.A., Fuzzy Sets, Information and Control8 (1965), 338–353.
