Decision-Making of a New Type of Stochastic Space and Its Associated Operator Ideal

We develop and examine the pre-modular space of null variable exponent-weighted backward generalized difference gai sequences of fuzzy functions in this paper. These sequences of fuzzy functions are important contributions to the concept of modular spaces because they have exponent weighting. Using extended s−fuzzy functions as well as this sequence space of fuzzy functions, it has been possible to accomplish an idealization of the mappings. We have presented some topological and geometric properties of this new space, as well as the ideal mappings that correspond to them.