Document Type : Research Paper
Department of Mathematics, College of Computer Science and Information Technology, University of Al-adisiyah, Iraq
Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq
The $\delta$-integral with respect - $\delta$ - fuzzy measure has significant practical applications such as economic, data mining, etc. In this paper, we define $\delta$-fuzzy measure and studied the measurable function with respect to $\delta-$ fuzzy measure, also we defined an integration on a type of measurement, which is called the $\delta-$ integral because of its importance in many other applications, we studied the properties of this integration and proved some important theories, Besides that, the convergence theorems are studied and the obtained results are proved.