SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES

Year 2020, , 61 - 75, 12.11.2020

Solai Ramkumar , Vinoth Subbiah

https://doi.org/10.47087/mjm.723886

Cited By: 6

Abstract

In this article, we define a new type soft separation axioms using
soft points on soft topological space and discuss the characterizations and
properties of them. We extend these separation axioms to the soft product
of soft topological spaces. Also we provide correct examples for the wrong
examples example:1, example:2 and example:3 given in article [8].

Keywords

Soft toplogical spaces, Soft separation axioms, Soft product space

References

• Reference1 H. Aktas and N. Cagman, Soft sets and soft groups, Inf. Sci., 177(13) (2007) 2726 - 2735.
• Reference2 A. Aygunoglu and H. Aygun, Some notes on soft topological spaces, Neural Comput. Applic., 21(1) (2012) 113 - 119.
• Reference3 K.V. Babitha and J.J. Sunil, Soft set relations and functions, Comput. Math. Appl., 60 (2010) 1840 - 1849.
• Reference4 D.N. Georgiou and A.C. Megaritis, Soft set theory and topology, Appl. Gen. Topol., 15(1) (2014) 93 - 109.
• Reference5 O. Gocur and A. Kopuzlu, Some new properties of soft separation axioms, Ann. Fuzzy Math. Inform., 9(3) (2015) 421 - 429.
• Reference6 C. Gunduz Aras, A. Sonmez and H. Cakalli, An approach to soft functions, J. Math. Anal., 8(2) (2017) 129-138.
• Reference7 S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62(11) (2011) 4058 - 4067.
• Reference8 S. Hussain and B. Ahmad, Soft separation axioms in soft topological spaces, Hacet. J. Math. Stat., 44(3) (2015) 559 - 568.
• Reference9 A. Kharral and B. Ahmad, Mappings on soft classes, New Math. Nat. Comput., 7(3) (2011) 471 - 481.
• Reference10 P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003) 555 - 562.
• Reference11 P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in a decision making problems, Comput. Math. Appl., 44 (2002) 1077 - 1083. [12] D. Molodtsov, Soft set theory - First results, Comput. Math. Appl., 37, (2019) 19 - 31.
• Reference13 S.K. Nazmul and S.K. Samanta, Neighbourhood properties of soft topological spaces, Ann. Fuzzy Math. Inform., 6(1) (2013) 1 - 15.
• Reference14 T.Y. Ozturk and S. Bayramov, Soft mapping spaces, The Scientific World Journal, Art. ID.: 307292 (2014) 1 - 8.
• Reference15 J.R. Porter and R. Grandwoods, Extensions and absolutes of Hausdorff spaces, SpringerVerlag, New york (1988). [16] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 (2011) 1786 - 1799.
• Reference17 A. Singh and N.S. Noorie, Remarks on soft axioms, Ann. Fuzzy Math. Inform., 14(5) (2017) 503 - 513.
• Reference18 O. Tantawy, S.A. El-Sheikh and S. Hamde, Seperation axioms on soft topological spaces, Ann. Fuzzy Math. Inform., 11(4) (2016) 511 - 525.
• Reference19 B.P. Varol and H. AygAun, On soft Hausdorff spaces, Ann. Fuzzy Math. Inform., 5(1) (2013) 15 - 24.
• Reference20 D. Wardowski, On a soft mapping and its fixed points, Fixed Point Theory Appl., 182 (2013) 1 - 11.
• Reference21 I. Zorlutuna, M.Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform., 3(2) (2012) 171 - 185.