Global Domination of α- Cut Diminish Fuzzy Graph

Fuzzy graph is the generalization of the ordinary graph. A dominating set D of a graph G, is a global dominating set in G if D is also a dominating set of
of G. In this paper, an innovative concept of Cut diminish fuzzy graph Gand Cut strong arc of
- Cut diminish Fuzzy graph are introduced in the new domain. Further complements of Cut diminish fuzzy graph are discussed with a new approach. Definition of
Cut strong domination and Global Strong domination in
Cut diminish fuzzy graph are also introduced by
- Cut strong arc. Moreover, some standard theorems and related results in Global domination of
- Cut diminish fuzzy graph are presented with suitable examples of Standard Cut diminish fuzzy graph.