A SURVEY OF HYPO SOFT GRAPH STRUCTURES
Creators
- 1. Professor, Department of Mathematics, PRIST University, Tanjore, Tamilnadu
- 2. Research Scholar, Department of Mathematics, PRIST University, Tanjore, Tamilnadu
Description
Akram [2] introduced the concept of bipolar fuzzy graphs and defined different operations on it. A. Nagoorgani and K. Radha [3, 4] introduced the concept of regular fuzzy graphs in 2008 and discussed about the degree of a vertex in some fuzzy graphs. K. Radha and N. Kumaravel [5] introduced the concept of edge degree, total edge degree and discussed about the degree of an edge in some fuzzy graphs. S. Arumugam and S. Velammal [6] discussed edge domination in fuzzy graphs. Soft set theory was introduced by Molodtsov [9] for modelling vagueness and uncertainty and it has been received much attention since Maji et al [10], Sezgin and Atagun [1] introduced and studied operations of soft sets. Soft set theory has also potential applications especially in decision making as in [10]. In this article, we have investigated the concept of hypo soft graph structures and its properties. Also we have discussed bell structures of hypo graphs with illustrative Examples.
Files
176.pdf
Files
(538.0 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:68e2d32cc6d5ae3e398de9662b70e5c3
|
538.0 kB | Preview Download |
Additional details
References
- 1. A. O. Atagun and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl. 61 (3), 592-601 (2011). 2. M. Akram, Bipolar fuzzy graphs, Information sciences, DOI 10.1016/j.ins 2011.07.037, 2011. 3. A. Nagoorgani, K. Radha, On regular fuzzy graphs, journal of physical sciences, Vol.12, 33-44, 2008. 4. A. Nagoorgani, and K. Radha The degree of a vertex in some fuzzy graphs, International journal of algorithms, computing and Mathematics, Vol 2, No.3, Aug 2009. 5. K. Radha and N. Kumaravel, The degree of an edge in Cartesian product and composition of two fuzzy graphs, International journal of applied mathematics and statistical sciences (IJAMSS) IASET, Vol.2, Issue 2 65-78 may 2013. 6. S. Arumugam and S. Velammal, edge domination in graphs, Taiwanese journal of Mathematics, Vol.2, PP.173-179 June 1998. 7. P. K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45, 555-562 (2003). 8. P. K. Maji, A.R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077-1083 (2002). 9. D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37, 19-31 (1999). 10. L. A. Zadeh, Fuzzy sets, Information Control 8, 338 - 353 (1965).