International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Computer Science and Information Technology, University of Al-adisiyah, Iraq

2 Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 2571-2576
  • Receive Date: 12 April 2021
  • Revise Date: 28 June 2021
  • Accept Date: 14 July 2021