Abstract and Applied Analysis

Soft α -Open Sets and Soft α -Continuous Functions

Metin Akdag and Alkan Ozkan

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We introduce soft α -sets on soft topological spaces and study some of their properties. We also investigate the concepts of soft α -continuous and soft α -open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are given to show the noncoincidence of these functions.

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 891341, 7 pages.

First available in Project Euclid: 2 October 2014

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Akdag, Metin; Ozkan, Alkan. Soft $\alpha $ -Open Sets and Soft $\alpha $ -Continuous Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 891341, 7 pages. doi:10.1155/2014/891341. https://projecteuclid.org/euclid.aaa/1412273201

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  • D. Molodtsov, “Soft set theory–-first results,” Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19–31, 1999.
  • M. Shabir and M. Naz, “On soft topological spaces,” Computers and Mathematics with Applications, vol. 61, no. 7, pp. 1786–1799, 2011.
  • I. Zorlutuna, M. Akdag, W. K. Min, and S. Atmaca, “Remarks onsoft topological spaces,” Annals of Fuzzy Mathematics and Informatics, vol. 3, no. 2, pp. 171–185, 2012.
  • A. Aygunoglu and H. Aygun, “Some notes on soft topological spaces,” Neural Computing and Applications, vol. 21, no. 1, pp. 113–119, 2012.
  • B. Chen, “Soft semi-open sets and related properties in soft topological spaces,” Applied Mathematics & Information Sciences, vol. 7, no. 1, pp. 287–294, 2013.
  • C. G. Aras, A. Sonmez, and H. Çakall\i, “On soft čommentComment on ref. [12?]: Please update the information of this reference, if possible.mappings,” General Mathematics. In press.
  • J. Mahanta and P. K. Das, “On soft topological space via semiopen and semiclosed soft sets,” General Topology, vol. 7, no. 1, pp. 287–294, 1999.
  • P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers and Mathematics with Applications, vol. 45, no. 4-5, pp. 555–562, 2003.
  • I. Arockiarani and A. Arokialancy, “Generalized soft g$\beta $-closed sets and soft gs$\beta $-closed sets in soft topological spaces,” International Journal of Mathematical Archive, vol. 4, no. 2, pp. 1–7, 2013.
  • A. Kharal and B. Ahmad, “Mappings on Soft Classes,” New Mathematics and Natural Computation, vol. 7, no. 3, pp. 471–481, 2011. \endinput