In this paper, an -pseudo regular intuitionistic fuzzy graph (IFG) and an -pseudo totally regular intuitionistic fuzzy graph are introduced. A relation between -pseudo regularity and -pseudo total regularity on an intuitionistic fuzzy graph is studied. A necessary and sufficient condition under which they are equivalent is provided. Also, -pseudo regularity on some intuitionistic fuzzy graphs whose underlying crisp graph is a cycle is studied with some specific membership functions.

intuitionistic fuzzy graph, pseudo degree, -pseudo regular intuitionistic fuzzy graph, pseudo total degree, -degree of a vertex.