A SOFT TOPOLOGICAL MODEL FOR
SPATIAL OBJECTS WITH UNCERTAIN BOUNDARIES
P. Evanzalin Ebenanjar1, P. Thangavelu2 1Department of Mathematics
Karunya Institute of Technol ogy and Sciences
Coimbatore, INDIA - 641114 2 Chanakya Academy of Commerce, Chennai, INDIA
GIS analyzes the geometric relationships among arbitrary spatial objects. The topological spatial relations between spatial objects had been discussed in the literature for several years. Recently Khalil et.al. introduced Spatial object modeling in soft topology. In this paper soft 4 intersection model and soft 9-intersection model for soft regions with sharp soft boundary and broad soft boundary have been discussed.
You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.
References
[1] M.I. Ali, F. Feng, X.Y. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Math. with Appl. 57 (2009), 1547-1553.
[2] A. Aygunoglu, H. Aygun, Some notes on soft topological spaces, Neural Comput & Applic 21, No 1 (2012), 113-119.
[3] N. Cagman, S. Karatas, S. Enginoglu, Soft topology, Comput. Math. Appl. 62 (2011), 351-358.
[4] E. Clementini, P. Di Felice, Approximate topological relations, Int. J. Approximate Reasoning, 16 (1997), 173-204.
[5] A.G. Cohn, N.M. Gotts, The egg-yolk representation of regions with indeterminate boundaries. In: Burrough, P.A., Frank, A.U. (Eds.), Geographic Objects with Indeterminate Boundaries. Taylor & Francis (1996), 171-187.
[6] M.J. Egenhofer, R. Franzosa, Point-set topological spatial relations, Int. J. Geographical Information Science, 5, No 2 (1990), 161-174.
[7] M.J. Egenhofer, J. Herring, Categorizing binary topological relationships between regions, lines and points in geographic database, Technical Report, Department of Survey engineering, University of Maine, Orono, 1991.
[8] D.N. Georgiou, A.C. Megaritis, V.I. Petropoulos, On soft topological spaces, Appl. Math. Inf. Sci., 7, No 5 (2013), 1889-1901.
[9] O.H. Khalil, A. Ghareeb, Spatial object modeling in soft topology, Songklanakarin J. Sci. Technol. 37, No 4 (2015), 493-498.
[10] P.K. Maji, R. Biswas, R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562.
[11] D. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37 (1999), 9-31.
[12] M. Shabir, M. Naz, On Soft topological spaces, Comput. Math. Appl. 61 (2011), 1786-1799.
[13] S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl. 62 (2011), 4058-4067.
[14] S. Hussain, A note on soft connectedness, J. of Egyptian Mathematical Society 23, No 1 (2015), 6-11.
[15] W.K. Min, A note on soft topological spaces, Comput. Math. Appl. 62 (2011), 3524-3528.
[16] I. Zorlutuna,M. Akdag,W.K.Min, S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3, No 2(2012), 171-185.
[17] I. Zorlutuna, H. Cakir, On continuity of soft mappings, Appl. Math. Inf. Sci. 9, No 1 (2015), 403-409.