A Note on Fuzzy Soft Topological Spaces

The main aim of this paper is to give a characterization of the category of fuzzy soft topological spaces and their continuous mappings, denoted by FSTOP. For this reason, we construct the category of antichain soft topological spaces and their continuous mappings, denoted by ASTOP. Also, we show that the category FSTOP is isomorphic to the category ASTOP.

[1]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

[2]  Halis Aygün,et al.  An introduction to fuzzy soft topological spaces , 2015 .

[3]  A. R. Roy,et al.  An application of soft sets in a decision making problem , 2002 .

[4]  George J. Klir,et al.  Fuzzy sets and fuzzy logic , 1995 .

[5]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[6]  Naim Çagman,et al.  Soft sets and soft groups , 2007, Inf. Sci..

[7]  Bekir Tanay,et al.  Topological structure of fuzzy soft sets , 2011, Comput. Math. Appl..

[8]  Daowu Pei,et al.  From soft sets to information systems , 2005, 2005 IEEE International Conference on Granular Computing.

[9]  N. Çagman,et al.  FUZZY SOFT SET THEORY AND ITS APPLICATIONS , 2011 .

[10]  Athar Kharal,et al.  Mappings on Fuzzy Soft Classes , 2009, Adv. Fuzzy Syst..

[11]  Hsu-Shih Shih,et al.  Computers and Mathematics with Applications , 2008 .

[12]  Siegfried Gottwald,et al.  Fuzzy Sets and Fuzzy Logic , 1993 .

[13]  A. R. Roy,et al.  A fuzzy soft set theoretic approach to decision making problems , 2007 .

[14]  Halis Aygün,et al.  Introduction to fuzzy soft groups , 2009, Comput. Math. Appl..

[15]  C. L. Chang,et al.  Fuzzy topological spaces , 1968 .

[16]  D. Molodtsov Soft set theory—First results , 1999 .

[17]  Young Bae Jun,et al.  Soft BCK/BCI-algebras , 2008, Comput. Math. Appl..

[18]  A. Sostak On a fuzzy topological structure , 1985 .

[19]  Bivas Dinda,et al.  Relations on Intuitionistic Fuzzy Soft Sets , 2012, 1202.4649.

[20]  Horst Herrlich,et al.  Abstract and concrete categories , 1990 .

[21]  Liqun Gao,et al.  Letter to the editor: Comment on A fuzzy soft set theoretic approach to decision making problems , 2009 .