On Soft \(\omega\)-Connectedness in Soft Topological Spaces
DOI:
https://doi.org/10.26713/cma.v12i3.1515Keywords:
Soft \(\omega\)-open set, Soft \(\omega\)-closed set, Soft \(\omega\)-separated sets, Soft \(\omega\)-connected space, Soft \(\omega\)-disconnected spaceAbstract
This article aims to define soft \(\omega\)-connected space and soft \(\omega\)-disconnected space in soft topological spaces. We study the characteristics of these spaces with appropriate examples and discuss their relation with soft connected and soft disconnected spaces.
Downloads
References
B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics and Informatics Sciences 1(7) (2013), 287 – 294, DOI: 10.12785/amis/070136.
S. Hussain, A note on soft connectedness, Journal of the Egyptian Mathematical Society 23 (2015), 6 – 11, DOI: 10.1016/j.joems.2014.02.003.
S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers & Mathematics with Applications 62 (2011), 4058 – 4067, DOI: 10.1016/j.camwa.2011.09.051.
P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002), 1077 – 1083, DOI: 10.1016/S0898-1221(02)00216-X.
D. Molodtsov, Soft set theory – First results, Computers & Mathematics with Applications 37 (1999), 19 – 31, DOI: 10.1016/S0898-1221(99)00056-5.
N. R. Paul, Remarks on soft (omega)-closed sets in soft topological space, Boletim da Sociedade Paranaense de Matemática 33 (2015), 183 – 192, DOI: 10.5269/bspm.v33i1.22719.
J. R. Porter and R. G. Woods, Subspaces of connected spaces, Topology and Its Applications 68 (1996), 113 – 131, DOI: 10.1016/0166-8641(95)00057-7.
S. Rathee, R. Girdhar and K. Dhingra, On soft (omega)-interior and soft (omega)-closure in soft topological spaces, Journal of Interdisciplinary Mathematics 23(6) (2020), 1223 – 1239, DOI: 10.1080/09720502.2020.1815399.
M. Shabir and M. Naz, On soft topological spaces, Computers & Mathematics with Applications 61 (2011), 1786 – 1799, DOI: 10.1016/j.camwa.2011.02.006.
P. Sundaram and M. S. John, On (omega)-closed set in topology, Acta Ciencia Indica 4 (2000), 389 – 392, URL: https://www.researchgate.net/publication/266938814.
B. R. Wadkar, R. Bhardwaj, V. N. Mishra and B. Singh, Fixed point results related to soft sets, Australian Journal of Basic and Applied Sciences 10 (2016), 128 – 137, URL: http://www.ajbasweb.com/old/ajbas/2016/November/128-137.
M. A.Wolfe, Interval mathematics, algebraic equations and optimization, Journal of Computational and Applied Mathematics 124 (2000), 263 – 280, DOI: 10.1016/S0377-0427(00)00421-0.
L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338 – 353, DOI: 10.1016/S0019-9958(65)90241-X.




