The intuitionistic hesitant fuzzy set (IHFS) is an enriched version of sets (HFSs) that can cover both (FSs) and (IFSs). By assigning membership non-membership grades as subsets [0, 1], the IHFS model handle situations more proficiently. Another related theory pair analysis (SPA), which considers certainties uncertainties a cohesive system represents them from three aspects: identity, discrepan...