Esnek Çoklu Topolojide Bazı Sonuçlar

Year 2013, Volume: 17 Issue: 3, 371 - 379, 01.06.2013

Deniz Tokat

Abstract

In this article, at first we recall the concept of soft multiset. Then some results which we obtained on soft multisets were given. Moreover, in this paper, the notion of soft multi topology was introduced and some results on soft multi topology and the concept of the soft multi base were presented.

Keywords

esnek çoklu küme, esnek çoklu topoloji, esnek çoklu baz, esnek çoklu alt uzay.

Some Results on Soft Multi Topology

Abstract

In this article, at first we recall the concept of soft multiset. Then some results which we obtained on soft multisets were given. Moreover, in this paper, the notion of soft multi topology was introduced and some results on soft multi topology and the concept of the soft multi base were presented*

Keywords

soft multiset, soft multi topology, soft multi base, soft multi subspace.

References

• (REFERENCES) Molodtsov, D.A. (1999) ‘Soft set theory-first results’, Computers and Mathematics with Applications, vol. 37, pp. 19-31.
• Molodtsov, D.A., Leonov, V.Y., Kovkov, D.V. (2006) ‘Soft sets technique and its application’, NechetkieSistemyiMyagkieVychisleniya, vol. 1, no. 1, pp. 8-39.
• Maji, P.K., Biswas, R., Roy, R. (2002) ‘An application of soft sets in a decision making problem’, Comput.Math.Appl. vol. 44, pp. 107710
• Maji, P.K., Biswas, R., Roy, R. (2003) ‘Soft set theory’, Comput.Math.Appl. vol. 45, pp. 5555
• Chen, D. (2005) ‘The parametrization reduction of soft sets and its applications’, Computers and Math. with Appl. vol. 49, pp. 757-763.
• Pie D., Maio, D. (2005) ‘From soft sets to information systems’, Granular computing, IEEE Inter. Conf. pp. 617-621.
• Aktaş H., Çağman, N. (2007) ‘Soft sets and soft groups’, Inf. Sci. vol. 177, pp. 2726-2735.
• Shabir, M., Naz, M. (2011) ‘On soft topological spaces’, Computers and Mathematics with Applications vol. 61, pp. 1786-1799.
• Min, W.K. (2011) ‘A note on soft topological spaces’, Comput. Math.Appl. vol. 62, pp. 352435
• Çağman, N., Karataş, S. and Enginoğlu, S. (2011) ‘Soft topology’, Computers and Mathematics with Applications vol. 62, pp. 3513
• Aygünoğlu, A., Aygün, H. (2012) ‘Some notes on soft topological spaces’, Neural Comput&Applic vol. 21, pp. 113-119.
• Zorlutuna, I., Akdağ M., Min, W.K. and Atmaca, S. (2012) ‘Remarks on soft topological spaces’, Ann. Fuzzy Math. Inform. vol. 3, no. 2, pp. 1711
• Varol, B.P., Aygün, H. (2012) ‘On soft Hausdorff spaces’, Annals of Fuzzy Mathematics and Informatics vol. 5(1), pp. 15-24.4
• Peyghan, E., Samadi, B. and Tayebi, A. (2012) ‘On Soft Connectedness’, arXiv:1202.1668.
• Cerf, V., Fernandez, E., Gostelow, K., Volausky, S. (1971) ‘Formal control and low properties of a model of computation’, Report ENG 7178, Computer Science Department, University of California, Los Angeles, CA, December, p. 81.
• Peterson, J. (1976) ‘Computation sequence sets’, Journal of Computer System Science vol. 13, no. 1, pp. 1-24.
• Yager, R.R. (1986) ‘On the theory of bags’, International Journal General System vol. 13, pp. 23Jena, S.P., Ghosh, S.K., Tripathy, B.K. (2001) ‘On the theory of bags and lists’, Information Sciences vol. 132, pp. 241-254.
• Manjunath, A.S., Jhon, S.J. (2006) ‘On bag relations’, Bulletin of Kerala Mathematics Association vol. 3, no. 2, pp. 15-22.
• Girish, K.P., Jhon, S.J. (2009) ‘Relations and functions in multiset context’, Information Sciences vol. 179, pp. 758-768.
• Girish, K.P., Jhon, S.J. (2012) ‘Multiset topologies induced by multiset relations’, Information Sciences vol. 188, pp. 298-313.
• Babitha, K.V., Jhon, S.J. (2013) ‘On soft multi sets’, Annals of Fuzzy Mathematics and Informatics vol. 5, no. 1, pp. 35-44.
• Tokat, D., Osmanoğlu, İ. ‘Soft multiset and soft multi topology’, submitted. Tokat, D., Osmanoğlu, İ. (2013) ‘Connectedness on soft multi topological spaces,J New Results Sci vol. 2, pp. 8-18.
• Koçak, M. (2011) Genel topolojiye giriş ve çözümlü alıştırmalar, Eskişehir : Kampüs yayıncılık.
• Mucuk, O. (2010) Topoloji ve kategori, Ankara: Nobel yayın dağıtım.