Representation and application of Fuzzy soft sets in type-2 environment

Abstract This paper has represented a soft-set in the type-2 environment by its simplest form as an augmentation to theories. Furthermore, we have applied fuzzy soft set(T2FSS) using our most straightforward representation find solution of decision-making-problem (DMP) based-on T2FSS well weighted set (WT2FSS). We proposed two definitions, namely, Mid- $$\alpha $$ α -threshold fuzzy-set and $$\lambda λ T2FSS. presented definition, level fuzzy-soft-set(LFSS) Using this concept, prepared algorithms select one object WT2FSS based on DMP, which take regret disinclination expectation preference decision-makers into consideration decision procedure. Also, numerical examples at end.