Matrix Representation of Fuzzy Soft Graphs

Karunambigai M.G; Gnaneswaran V

doi:https://doi.org/10.14445/22315373/IJMTT-V72I8P105

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 8 | Year 2026 | Article Id. IJMTT-V72I8P105 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I8P105

Matrix Representation of Fuzzy Soft Graphs

Karunambigai M.G, Gnaneswaran V

Received	Revised	Accepted	Published
24 Jun 2026	26 Jul 2026	16 Aug 2026	30 Aug 2026

Citation :

Karunambigai M.G, Gnaneswaran V, "Matrix Representation of Fuzzy Soft Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 8, pp. 39-47, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I8P105

Abstract

In this paper, a Fuzzy Soft Graph Matrix (FSGM) is formulated to represent fuzzy soft graphs in uncertain environments. This framework performs the fundamental operations such as union, intersection and complement. The effectiveness and applicability of the above operations in FSGMs are validated through suitable illustrations and a real-world application.

Keywords

Fuzzy Soft Set, Fuzzy Soft Graph, Fuzzy Soft Graph Matrix.

References

[1] Dmitriy Molodtsov, “Soft Set Theory-First Results,” Computers & Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999.
[CrossRef] [Google Scholar] [Publisher Link]

[2] P. Jaya Lakshmi, and S. Vimala, “Representation of Fuzzy Adjacent Matrices via Fuzzy Graphs,” Canadian Journal of Pure and Applied Sciences, vol. 10, no. 2, pp. 3927-3932, 2016.
[Google Scholar]

[3] Sumit Mohinta, and T.K. Samanta, “An Introduction to Fuzzy Soft Graph,” Mathematica Moravica, vol. 19, no. 2, pp. 35-48, 2015.
[CrossRef] [Google Scholar] [Publisher Link]

[4] Muhammad Akram, and Saira Nawaz, “Operations on Soft Graphs,” Fuzzy Information and Engineering, vol. 7, no. 4, pp. 423-449, 2015.
[CrossRef] [Google Scholar] [Publisher Link]

[5] Naim Cagman, and Serdar Enginoglu, “Fuzzy Soft Matrix Theory and its Application in Decision Making,” Iranian Journal of Fuzzy Systems, vol. 9, no. 1, pp. 109-119, 2012.
[CrossRef] [Google Scholar] [Publisher Link]