%0 Journal Article %T Multiplication mappings on a new stochastic space of a sequence of fuzzy functions %A Alsolmi, M. M. %A Bakery, A. A. %J Journal of Mathematics and Computer Science %D 2023 %V 29 %N 4 %@ ISSN 2008-949X %F Alsolmi2023 %X A number of topological and geometrical properties of the weighted Gamma matrix of order \(r\) in Nakano sequence space for fuzzy functions equipped with definite pre-modular functions are defined and investigated in this paper. We begin by defining the necessary conditions for the formation of pre-modular Banach in this space. Second, we specify the conditions under which the multiplication operator defined on this pre-modular space is bounded, approximable, invertible, Fredholm, and closed on the basis of this space. %9 journal article %R 10.22436/jmcs.029.04.01 %U https://doi.org/10.22436/jmcs.029.04.01 %P 306--316