Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure

	Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 2571-2576 اصل مقاله (120.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5411
نویسندگان
Firas Hussean Maghool¹؛ Zainb Hassan Radhy^* ²
¹Department of Mathematics, College of Computer Science and Information Technology, University of Al-adisiyah, Iraq
²Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq
چکیده
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.
کلیدواژه‌ها
$sigma-$ algebra؛ measurable function؛ $boldsymbol{delta}-$ fuzzy measure؛ $boldsymbol{delta}$-integral
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