Öz

Bu çalışma kapsamında Esnek Çoklu Küme, Esnek Topoloji ve bu topolojinin bazı temel özellikleri kullanılarak Esnek Çoklu Topoloji tanımlanmış ve bazı topolojik özellikleri belirtilmiştir.

Anahtar Kelimeler

• Esnek küme,esnek çoklu küme,esnek topoloji,esnek çoklu topoloji

Esnek Çoklu Topoloji

Öz

Bu çalışma kapsamında Esnek Çoklu Küme, Esnek Topoloji ve bu topolojinin bazı temel özellikleri kullanılarak Esnek Çoklu Topoloji tanımlanmış ve bazı topolojik özellikleri belirtilmiştir.

Anahtar Kelimeler

• Soft set,soft multi set,soft topology,soft multi topology

Kaynakça

1. Molodtsov, D., Soft set theory first results, Comput. Math. Appl., 37, 19–31, 1999.
2. Maji, P.K., Biswas, R., Roy, R., An application of soft sets in a decision making problem, Comput. Math. Appl., 44, 1077–1083, 2002.
3. Maji, P.K., Biswas, R., Roy, R., Soft set theory, Comput. Math. Appl., 45, 555–562, 2003. Chen, D., The parametrization reduction of soft sets and its applications, Computers and Math. with Appl., 49, 757–763, 2005.
4. Pie, D., Miao, D., From soft sets to information systems, Granular computing, IEEE Inter. Conf. 2, 617–621, 2005.
5. Aktaş, H., Çağman, N., Soft sets and soft groups, Inf. Sci., 177, 2726–2735, 2007.
6. Shabir, M., Naz, M., On soft topological spaces, Computers and Mathematics with Applications, 61, 1786-1799, 2011.
7. Aygünoğlu, A. and Aygün, H., Some notes on soft topological spaces, Neural Comput & Appl., DOI 1007/ s00521-011-0722-3.
8. Min, W. K., A note on soft topological spaces, Comput. Math. Appl., 62, 3524-3528, 2011. Zorlutuna, I., Akdağ, M., Min, W.K. and Atmaca S., Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3(2), 171-185, 2012.

9. Cerf, V., Fernandez, E., Gostelow, K., Volausky, S., Formal control and low properties of a model of computation, Report ENG 7178, Computer Science Department, University of California, Los Angeles, CA, December, 1971, p. 81.
10. Peterson, J., Computation sequence sets, Journal of Computer System Science 13 (1), 1–24, 19 Yager, R.R., On the theory of bags, International Journal General System 13, 23–37, 1986. Jena, S.P., Ghosh, S.K., Tripathy, B.K., On the theory of bags and lists, Information Sciences 132, 241–254, 2001.
11. Manjunath, A.S., John, S.J., On bag relations, Bulletin of Kerala Mathematics Association 3 (2), 15–22, 2006.
12. Girish, K. P, John, S. J., Relations and functions in multiset context, Information Sciences 179,758–768, 2009.
13. Girish, K. P., John, S. J., Multiset topologies induced by multiset relations, Information Sciences 188, 298–313, 2012.
14. Babitha, K.V., John, S.J., On soft multi sets, Ann. Fuzzy Math. Inform., 5 (1), 35-44, 2013. Cagman, N., Karatas, S. and Enginoglu, S., Soft topology, Computers and Mathematics with applications, 62, 351-358, 2011.