On vague $\alpha$ -soft continuous functions
Downloads
DOI:
https://doi.org/10.26637/MJM0801/0023Abstract
In this paper, we introduce some weaker forms of vague soft continuous functions and study their characterizations. We also provide a decomposition of $V \alpha \tilde{S}$-continuous functions. Further, we introduce the notion of vague soft irresolute functions and show the concepts of vague soft continuity and vague soft irresoluteness are independent of each other.
Keywords:
$V S \tilde{S}$- continuous functions , $VP \tilde{S}$-continuous functions , $V\alpha\tilde{S}$ -continuous functions, $VR ˜\tilde{S}-continuous functions, $V ˜\tilde{S}$-irresolute functions, $VP\tilde{S}$-irresolute functionsMathematics Subject Classification:
Mathematics- Pages: 135-143
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
K. Alhazaymeh, N. Hassan, Vague soft set relations and functions, Journal of Intelligent and Fuzzy Systems, 28(2015), 1205-1212.
A. Acikgoz, N.A. Tas, Some new soft sets and decompositions of some soft continuities, Annals of Fuzzy Mathematics and Informatics, 9(1)(2015), 23-35.
M. Akdag, A. Ozkan, Soft $alpha$ - open sets and soft $alpha$-continuous functions, Abstract and Applied Analysis, (2014), Article ID 891341, 7 pages, http://dx.doi.org/10.1155/2014/891341.
C.G. Aras, A. Sonmez, H. Cakalli, On soft mappings, arXiv.org/abs/1305.4545 2013.
Chang Wang, InthumathiVelusamy, Pavithra Muthusamy, Vague soft separation axioms and vague soft continuous functions in vague soft topological spaces, Submitted to the Journal, 2019.
Chang Wang, Yaya Li., Topological Structure of Vague Soft Sets, Abstract and Applied Analysis, Vol 2014, Article ID 504021, 8 pages, http://dx.doi.org/10.1155/2014/504021.
W.L. Gau, and D.J. Buehrer, Vague sets, IEEE Transactions on Systems Man and Cybernetics, 23(2)(1993), 610-614.
S. Hussain, and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications, 62(11)(2011), 4058-4067.
A. Kandil, O.A.E. Tantawy, S.A. El-Sheikh, A.M. ABD El-Latif,γ-operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7(2)(2014), 181196.
V. Inthumathi, M. Pavithra, Decomposition of vague α soft open sets in vague soft topological spaces, Global Journal of Pure and Applied Mathematics, 14(3)(2018), 501-515.
P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl., 45(2003), 555-562.
J. Mahanta, P.K Das, On soft topological space via semiopen and semiclosed soft sets, Kyungpook Math. $J$, 54(2014), 221-236.
D. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications, 37(4-5)(1999), 19-31.
O.R Sayed, N. Hassan, A.M Khalil, A decomposition of soft continuity in soft topological spaces, Africa Matematica, 28(5-6)(2017), 887-898.
M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61(2011), 1786-1799.
J. Thomas, S.J. John, A note on soft topology, Journal of New Results in Science, 11(2016), 24-29.
N. Tozlu, S. Yuksel, Z.G. Ergul, Soft C-sets and a decomposition of soft continuity in soft topological spaces, International Journal of Mathematics Trends and Technology, 16(1)(2014), 58-69.
W. Xu, J. Ma, S. Wang, and G. Hao, Vague soft set and their properties, Computers and Mathematics with Application, 59(2010), 787-794.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.