Intuitionistic fuzzy set of Γ‐submodules and its application in modeling spread of viral diseases, mutated COVID‐n, via flights

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