Fuzzy soft topological spaces and the related category FST

In this paper, we consider fuzzy soft sets with a different approach where we generalize the idea initiallyintroduced by Šostak for fuzzy sets. Subsequently, we define the fuzzy set topology categories of fuzzy soft topologicalspaces and give certain properties of them. Furthermore, we define the initial and the final fuzzy soft topological spaces.

PDF

___

[1] Ahmad B, Kharal A. On fuzzy soft sets. Adv Fuzzy Syst 2009; 2009: 586507. doi:10.1155/2009/586507.
[2] Aktas H, Cagman N. Soft sets and soft groups. Inform Sci 2007; 77: 2726-2735.
[3] Aygunoglu A, Aygun H. Some notes on soft topological spaces. Neural Computing and Applications 2011; 21: 113. doi: 10.1007/s00521-011-0722-3.
[4] Aygunoglu A, Cetkin V, Aygun H. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics 2014; 43: 197-208.
[5] Feng F, Jun YB, Zhao X. Soft semirings. Computers and Mathematics with Applications 2008; 56 (10): 2621-2628.
[6] Kharal A, Ahmad B. Mappings on fuzzy soft classes. Advances in Fuzzy Systems 2009; 2009: 407890. doi:10.1155/2009/407890.
[7] Kucuk A, Ozturk T. Homology modules of fuzzy soft modules. Annals of Fuzzy Mathematics and Informatics 2013; 5 (3): 607-619.
[8] Maji PK, Roy AR, Biswas R. Fuzzy soft sets. Journal of Fuzzy Mathematics 2001; 9 (3): 589-602.
[9] Molodtsov D. Soft set theory-First results. Computers and Mathematics with Applications 1999; 37 (4-5): 19-31.
[10] Ozturk T, Bayramov S. Category of chain complexes of soft modules. International Mathematical Forum 2012; 7 (20): 981-992.
[11] Roy S, Samanta TK. A note on fuzzy soft topological spaces. Annals of Fuzzy Mathematics and Informatics 2011; 3 (2): 305-311.
[12] Simsekler T, Yuksel S. Fuzzy soft topological spaces. Annals of Fuzzy Mathematics and Informatics 2013; 5 (1): 87-96.
[13] Šostak, A. On a fuzzy topological structure. In: Proceedings of the 13th Winter School on Abstract Analysis, Palermo, 1985, pp. 89-103.
[14] Tanay B, Kandemir MB. Topological structure of fuzzy soft sets. Computers and Mathematics with Applications 2011; 61: 2952-2957.
[15] Varol PB, Aygun H. Fuzzy soft topology. Hacettepe Journal of Mathematics and Statistics 2012; 41 (3): 407-419.
[16] Zadeh LA. Fuzzy sets. Information and Control 1965; 8: 338-353.

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Arşiv