Document Type: Research Paper


Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran


In this paper, we define the notion of (dual) multi-fuzzy normed
spaces and describe some properties of them.
 We then investigate Ulam-Hyers stability of Jensen's functional equation for mappings from linear spaces into
  multi-fuzzy normed spaces. We establish an asymptotic behavior of the Jensen equation in the framework of multi-fuzzy normed spaces.


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