Generalized Soft Mappings between Soft Closure Spaces
DOI:
https://doi.org/10.29304/jqcm.2020.12.4.718Keywords:
Soft closure space, soft generalized closed set, generalized soft continuous mapping, generalized soft closed mappingAbstract
In the closure spaces, Boonpok and Khampakdee [1] were introduced the notion of generalized closed sets and applied this notion to defined and studied generalized continuous functions. In this paper, the concept of soft generalized closed sets in soft closure spaces is considered to introduce weaker forms of soft continuous and soft closed mappings which are named as, -soft continuous and -soft closed mappings. There are several exciting results are gotten.
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References
[1] C. Boonpok and J Khampakdee, “between closed sets and generalized closed sets in closure spaces”, Acta Math. Inf. Univ. Ostraviensis, 16 (2008), pp 3-14
[2] E. C ̌ech, “Topological Spaces”, Topological Papers of Eduard C ̌ech, Academia, Prague, (1968), pp 436-472.
[3] D. Molodtsov, “Soft set theory-First results”, Comput. Math. Appl., 37 (1999), pp 19-31.
[4] R. Gowri and G. Jegadeesan, “On soft C ̆ech closure spaces”, International Journal of Mathematics Trends and Technology, 9 (2) (2014), pp 122-127.
[5] R. N. Majeed, “C ̌ech fuzzy soft closure spaces”, International Journal of Fuzzy System Applications, 7(2) (2018), pp 62-74.
[6] S. T. Ekram and R. N. Majeed, “Soft closure spaces”, IOP Conf. Series: Journal of Physics: Conference Series, 1591(2020) 012076.
[7] S. T. Ekram and R. N. Majeed, “Soft continuous mappings in soft closure spaces”, accepted for publication in Vol. (62) Issue (8) (2021) in Iraqi Journal of Science.
[8] N. Levine, “Generalized closed sets in topology”, Rend. Circ. Mat. Palermo, 19 (1970), pp 89-96.
[9] K. Balachandran, P. Sundaram and H. Maki, “On generalized continuous maps maps in topological spaces”, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 12 (1991), pp 5-13.
[10] K. Kannan, “Soft generalized closed sets in soft topological spaces”, Journal of Theoretical and Applied Information Technology, 37(1) (2012),pp 17-21.
[11] S. T. Ekram and R. N. Majeed, “g-closed soft sets in soft closure spaces”, accepted in the Ibn Al-Haitham 2nd. International Conference for Pure and Applied Science (IHICPAS) – 2020 and will be published in the IOP Conf. Series: Journal of Physics: Conference Series.
[12] P. K. Maji, R. Biswas and R. Roy, “Soft set theory”, Comput. Math. Appl., 45 (2003), pp 555-562.
[13] F. Feng, Y. B. Jun and X. Zhao, “Soft semirings”, Comput. Math. Appl., 56 (2008), pp 2621-2628.
[14] M. Shabir and M. Naz, “On soft topological spaces”, Computers and Mathematics with Applications , 61 (2011), pp 1786-1799.
[15] S. Das and S. K. Samanta, “Soft metric”, Annals of Fuzzy Mathematics and Informatics,1 (2013), pp 77-94.
[16] A. Kharal, B. Ahmad, “Mappings on Soft Classes”, New Math. Nat. Comput., 7 (3) (2011), pp 471-481.
[17] K. V. Babitha and J. J. Sunil, “Soft set relations and functions”, Comput. Math. Appl., 60 (2010), pp 1840-1849.
[18] A. Aygu ̈nog ̌lu and H. Aygu ̈n, “Some notes on soft topological spaces”, Neural Comput & Applic, DOI 10.1007/ s00521-011-0722-3.
[2] E. C ̌ech, “Topological Spaces”, Topological Papers of Eduard C ̌ech, Academia, Prague, (1968), pp 436-472.
[3] D. Molodtsov, “Soft set theory-First results”, Comput. Math. Appl., 37 (1999), pp 19-31.
[4] R. Gowri and G. Jegadeesan, “On soft C ̆ech closure spaces”, International Journal of Mathematics Trends and Technology, 9 (2) (2014), pp 122-127.
[5] R. N. Majeed, “C ̌ech fuzzy soft closure spaces”, International Journal of Fuzzy System Applications, 7(2) (2018), pp 62-74.
[6] S. T. Ekram and R. N. Majeed, “Soft closure spaces”, IOP Conf. Series: Journal of Physics: Conference Series, 1591(2020) 012076.
[7] S. T. Ekram and R. N. Majeed, “Soft continuous mappings in soft closure spaces”, accepted for publication in Vol. (62) Issue (8) (2021) in Iraqi Journal of Science.
[8] N. Levine, “Generalized closed sets in topology”, Rend. Circ. Mat. Palermo, 19 (1970), pp 89-96.
[9] K. Balachandran, P. Sundaram and H. Maki, “On generalized continuous maps maps in topological spaces”, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 12 (1991), pp 5-13.
[10] K. Kannan, “Soft generalized closed sets in soft topological spaces”, Journal of Theoretical and Applied Information Technology, 37(1) (2012),pp 17-21.
[11] S. T. Ekram and R. N. Majeed, “g-closed soft sets in soft closure spaces”, accepted in the Ibn Al-Haitham 2nd. International Conference for Pure and Applied Science (IHICPAS) – 2020 and will be published in the IOP Conf. Series: Journal of Physics: Conference Series.
[12] P. K. Maji, R. Biswas and R. Roy, “Soft set theory”, Comput. Math. Appl., 45 (2003), pp 555-562.
[13] F. Feng, Y. B. Jun and X. Zhao, “Soft semirings”, Comput. Math. Appl., 56 (2008), pp 2621-2628.
[14] M. Shabir and M. Naz, “On soft topological spaces”, Computers and Mathematics with Applications , 61 (2011), pp 1786-1799.
[15] S. Das and S. K. Samanta, “Soft metric”, Annals of Fuzzy Mathematics and Informatics,1 (2013), pp 77-94.
[16] A. Kharal, B. Ahmad, “Mappings on Soft Classes”, New Math. Nat. Comput., 7 (3) (2011), pp 471-481.
[17] K. V. Babitha and J. J. Sunil, “Soft set relations and functions”, Comput. Math. Appl., 60 (2010), pp 1840-1849.
[18] A. Aygu ̈nog ̌lu and H. Aygu ̈n, “Some notes on soft topological spaces”, Neural Comput & Applic, DOI 10.1007/ s00521-011-0722-3.
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Published
2020-12-17
How to Cite
Akrama, S. T., & Majeedb, R. N. (2020). Generalized Soft Mappings between Soft Closure Spaces. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(4), Math Page 29– 38. https://doi.org/10.29304/jqcm.2020.12.4.718
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