Types of Domination in Intuitionistic Fuzzy Graph by Strong Arc and Effective Arc

Abstract

In this paper, we introduce the definitions of strong arc, non- strong arc, semi - strong arc,  semi - strong arc,  effective arc, semi -effective arc and semi -effective arc of intuitionistic fuzzy graph.  Further, the types of domination on intuitionistic fuzzy graph by using strong arc and effective arc are defined.  Also the non-strong arc in intuitionistic fuzzy (IF) Path and IF Cycle are respectively compared with Fuzzy Path and Fuzzy cycle. Finally the relation between the effective arc domination and strong arc domination of IF graph with a suitable illustration is explained.