Global Strong domination in α- Cut diminish fuzzy graph by α- Cut strong ARC

Abstract

              In this paper, an innovative concept of - Cut diminish fuzzy graph and - Cut strong arc of - Cut diminish Fuzzy graph are introduced in the new domain. Further complement of- Cut diminish fuzzy graph are discussed with 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 example of Standard - Cut diminish fuzzy graph.