Fermatean hesitant fuzzy rough aggregation operators and their applications in multiple criteria group decision-making

In this section, we establish the concept of FHFR aggregation operators by combining the idea of rough sets and FHF aggregation operators. Further we obtain aggregation notions for FHFRWA, FHFROWA, and FHFRHWA. Several fundamental characteristics of these notions are highlighted.

The Fermatean hesitant fuzzy rough weighted averaging operator

Definition 3.1

Consider the collection \(\eth (\gimel _{\imath })=(\underline{\eth } (\gimel _{\imath }),\overline{\eth }(\gimel _{\imath }))\) \((\imath =1,2,3,…,\ell )\) of FHFRVs with weight vector \(\mathcal…