Application of Artificial Intelligence based Hybrid Decision Making in Heterogeneous wireless network selection under hyperbolic fuzzy soft set

In the present study, we explored hyperbolic fuzzy sets in extent. Some methods for parabolic fuzzy sets were explored in previous studies. The definition of hyper fuzzy demands an update of the hyperbolic fuzzy soft sets approach. Recently, soft set theory was developed as a versatile A mathematical instrument for handling ambiguity and imprecise data. This trait is enhanced by fuzzy soft sets, which combine fuzzy and soft set theories. To better depict complicated ambiguity and confusion, this article explores Hyperbolic Fuzzy Soft Sets (HFSS), which make use of hyperbolic functions of membership. Compared to conventional linear or parabolic functions, the hyperbolic membership function allows for a more flexible adjustment of membership grades. A general T-norm and T-conorm can be used to formulate a general form of union and intersection on HFSS. Hamacher activities like Hamacher the Hamacher sum and product provide excellent replacements for product and sum. Using the Hamacher T-conorm and T-norm, we next devise novel processes on hyperbolic fuzzy soft set data in this paper before going into fundamental operations. We suggest hyperbolic fuzzy soft set Hamacher aggregation operators for geometry and arithmetic, which are inspired by the Hamacher operations and HFSS. A hyperbolic fuzzy soft set Hamacher weighted average operator, a fuzzy soft set that is hyperbolic Weighted average operator Hamacher ordered and a hyperbolic fuzzy soft set are introduced in the first section.