Intuitionistic fuzzy set of -submodules and its application in modeling spread of viral diseases, mutated COVID-, via flights.

In this study, we generalize fuzzy -module, as intuitionistic fuzzy -submodule of -module (IF M), and utilize it for modeling the spread of coronavirus in air travels. Certain fundamental features of intuitionistic fuzzy -submodule are provided, and it is proved that IF M can be considered as a complete lattice. Some elucidatory examples are demonstrated to explain the properties of IF M. The relevance between the upper and lower -level cut and intuitionistic fuzzy -submodules are presented and the characteristics of upper and lower under image and inverse image of IF M are acquired. It is verified that the image and inverse image of intuitionistic fuzzy -submodule are preserved under the module homomorphism. The obtained IF M is used to model the aerial transition of viral diseases, that is, COVID-, via flights.