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

本文以其最简单的形式表示类型2环境中的软设置，作为对软设置理论的扩充。此外，我们使用最直接的表示法来应用类型2模糊软集（T2FSS），以找到基于T2FSS的决策问题（DMP）以及加权类型2模糊软集（ WT2FSS）。我们提出了两个定义，即T2FSS的Mid- \（\ alpha \） -阈值模糊集和Mid- \（\ lambda \）T2FSS的最大阈值模糊集。此外，我们提出了定义，即T2FSS的级别模糊软集（LFSS）。利用这一概念，我们准备了两种算法在D2FSS和WT2FSS中选择基于DMP的对象，在决策过程中考虑了决策者的后悔和期望偏好。另外，我们在最后给出了两个数值示例。