M Rezayi, - Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
M Mohseni Takallo, - Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
R.A Borzooei - Department of Mathematics, Shahid Beheshti University, Tehran, Iran.

In this article, we will introduce the domination of the Dombi Fuzzy Pythagorean graph andexamine some features. Then we dene the types of edges as eective edge, strong edge, and strong edge.Also, we consider the relationship between these types of edges and the independent number. Then wedene the types of dominance related to these types of edges and investigate some properties.

Pythagorean Dombi Fuzzy graphs, Domination number, eective edges, dominating set.