Abstract: In this paper, the concept of multi weak structures is introduced and its several results are presented in details. It is worth mentioning that multi weak structures are a generalization of weak structures and multi topological spaces. Moreover, we give the deviations between the previous work and the current work. Also, the concepts of $\omega$-dense, $\omega$-nowhere dense and generalized $\omega$-closed multisets are introduced in multi weak structures. In addition, its properties and some important results are discussed.
Key words: Multiset, multi weak structure, $\omega$-dense multiset, $\omega$-nowhere dense multiset, generalized $\omega$-closed multiset.
How to cite this article:
M.Raafat and A.M.Abd El-Latif, On Multi Weak Structures, International Journal of Advances in Mathematics, Volume 2017, Number 6, Pages 42-50, 2017.