Domination in Inverse Fuzzy Mixed Graphs with Application
Year: 2025
Type: article
Abstract: In the first part of our work, the concepts of inverse fuzzy mixed dominating set (IFMDS) and inverse fuzzy mixed domination number (IFMDN) have been explored for inverse fuzzy mixed graphs (IFMGs). Based on these ideas, the inequality $\mathcal{R}^{ir} \leq \mathcal{R}^{\gamma} \leq \mathcal{R}^{i} \leq \mathcal{R}^{\beta_{0}} \leq \mathcal{R}^{\Gamma} \leq \mathcal{R}^{IR}$ has been established for an IFMG $\mathcal{R}$. In the second part of our work, we have explored the concept of $(g, h)$-IFMDS, which is defined as a fuzzy subset of the membership function of nodes. Most importantly, the relation $ (g,h)$-IN$(\mathcal{R}$) $\leq (g,h)$-DN$(\mathcal{R}$)$\leq (g,h)$-UDN$(\mathcal{R}$)$\leq (g,h)$-UIN$(\mathcal{R})$ has been established for an IFMG $\mathcal{R}$. At the end, a real-life application of the concept of $(g, h)$-IFMDS is given.
Authors: Mondal, Rahul, Ghorai, Ganesh
Institutions: Vivekananda Satavarshiki Mahavidyalaya, Vidyasagar University
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7082633229
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