A Note on soft order sets in Topological Spaces
International Conference on Algebra and Discrete Mathematics (ICADM-2020) on 24 to 26, June 2020, Department of Mathematics, DDE, Madurai Kamaraj University, Tamil Nadu, India. International Journal of Computer Science (IJCS) Published by SK Research Group of Companies (SKRGC)
Download this PDF format
Abstract
In this paper, we define a soft ordered topological space by adding a partial order relation to the structure of a soft topological space. Here, monotone soft sets and soft increasing (decreasing) operators are presented and their properties are analyzed in detail. We also introduce the notions of ordered soft separation axioms, namely, p-soft..... Download PDF...
References
1. S. P. Aava, Kavrra Gurra, Ney Delhi, Ordered Spaces, Indian J. Pure application Math (1991), 22(6) 461-468.
2. M. Akdag, W. K. Min, S. Atmaca, Idris Zorlutuna, Remarks on soft topological spaces, Annals of fuzzy Mathematics & Informatics (2012), 3(2) 171-185.
3. H. Aktas, N. Cagman, Soft sets and soft groups, Informatics sciences (2007), 1(77) 2726-2735.
4. T. M. Al-Shami, M. E. El-Shafei, M. Abo-Elhamayel, On Soft ordered maps, General letters in Mathematics (2018), 5(3) 118-131.
5. P. Das, Separation axioms in ordered spaces, Soochow J. Math (2004), 30(4) 447-454.
6. W. K. Min, A note on soft topological spaces, Compute Math Application (2011), 62 3524-3528.
Keywords
Soft increasing (decreasing) operator and p-soft