A study on fuzzy resolving domination sets and their application in network theory

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SUMMARY

    In recent years, a resolving restrained domination set of graphs was developed by Gerald and Monsanto Helen in 2021. The fuzzy graph theory was derived from the fuzzy set by Kauffman in 1973, and Rosenfled extended the fuzzy graph theory in 1975. The authors define a new fuzzy resolving parameter, such as the FRDS and its number, the fuzzy resolving restrained domination set (FRRDS). Fuzzy Resolving Domination Let G be a simple connected FG and let S be a subset of vertices from G which is both fuzzy resolving and fuzzy dominating; this is . . .

     

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