Connectedness on Soft Multi Topological Spaces

Yıl 2013, Cilt: 2 Sayı: 2, 8 - 18, 01.02.2013

Deniz Tokat İsmail Osmanoglu

Öz

In this work, first we recall the concepts ofsoft multiset and soft multi topology. Then we will introduce soft multi connectedness on soft multi topologicalspace and give basic definitions and theorems about it

Anahtar Kelimeler

-

Kaynakça

• D.A. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37, 19–31, 1999.
• D. Molodtsov, V.Y. Leonov, D.V. Kovkov, Soft sets technique and its application, Nechetkie Sistemy i Myagkie Vychisleniya 1(1), 8–39, 2006.
• P.K. Maji, R. Biswas, R. Roy, An application of soft sets in a decision making problem, Comput.Math. Appl. 44, 1077–1083, 2002.
• P.K. Maji, R. Biswas, R. Roy, Soft set theory, Comput. Math. Appl. 45, 555–562, 200 D. Chen, The parametrization reduction of soft sets and its applications, Comput- ers and Math. with Appl. 49, 757–763, 2005.
• D. Pie, D. Miao, From soft sets to information systems, Granular computing, IEEE Inter. Conf. 617–621, 2005.
• H. Akta¸s, N. C¸ a˘gman, Soft sets and soft groups, Inf. Sci. 177, 2726–2735, 2007.
• M. Shabir, M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61, 1786-1799, 2011.
• W.K. Min, A note on soft topological spaces, Comput. Math. Appl. 62, 3524-3528, 20
• N. Ca˘gman, S. Karatas and S. Enginoglu, Soft topology, Computers and Mathe- matics with Applications 62, 351-358, 2011.
• A. Ayg¨uno˘glu, H. Ayg¨un, Some notes on soft topological spaces, Neural Comput & Applic 21, 113–119, 2012.
• I. Zorlutuna, M. Akda˘g, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform. 3(2), 171-185, 2012.
• B.P. Varol, H. Ayg¨un,On soft Hausdorff spaces, Annals of Fuzzy Mathematics and Informatics 5(1),15–24, 2012.
• E. Peyghan, B. Samadi and A. Tayebi, On Soft Connectedness, arXiv:1202.1668, 20
• V. Cerf, E. Fernandez, K. Gostelow, S. Volausky, 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, 1971.
• J. Peterson, Computation sequence sets, Journal of Computer System Science 13(1), 1–24, 1976.
• R.R. Yager, On the theory of bags, International Journal General System 13, 23– 37, 1986.
• S.P. Jena, S.K. Ghosh, B.K. Tripathy, On the theory of bags and lists, Information Sciences 132, 241–254, 2001.
• A.S. Manjunath, Sunil Jacob John, On bag relations, Bulletin of Kerala Mathe- matics Association 3(2), 15–22, 2006.
• K.P. Girish, S.J. John, Relations and functions in multiset context, Information Sciences 179,758–768, 2009.
• K.P. Girish, S.J. John, Multiset topologies induced by multiset relations, Informa- tion Sciences 188,298–313, 2012.
• D. Tokat, ˙I. Osmano˘glu, Soft multiset and soft multi topology, submitted.