With the increasing complexity of the human social environment, it is impossible to describe each object in detail with accurate numbers when solving multiple attribute decision-making (MADM) problems. Compared with the fuzzy set (FS), the intuitionistic fuzzy set (IFS) not only has obvious advantages in allocating ambiguous values to the object to be considered, but also takes into account the degree of membership and non-membership, so it is more suitable for decision makers (DMs) to deal with complex realistic problems. Therefore, it is of great significance to propose a MADM method under an intuitionistic fuzzy environment. Moreover, compared with the traditional 2WD, by putting forward the option of delay, the decision-making risk can be effectively reduced using three-way decision (3WD). In addition, the binary relations between objects in the decision-making process have been continuously generalized, such as equivalence relation which have symmetrical relationship, dominance relation and outranking relation, which are worthy of study. In this paper, we propose 3WD-MADM method based on IF environment and the objective IFS is calculated by using the information table. Then, the hybrid information table is used to solve the supplier selection problem to demonstrate the effectiveness of the proposed method.

中文翻译：

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直觉模糊环境下基于排序关系的三向多属性决策

随着人类社会环境的日益复杂，在解决多属性决策（MADM）问题时，不可能用准确的数字详细描述每个对象。与模糊集（FS）相比，直觉模糊集（IFS）不仅在为待考虑对象分配模糊值方面具有明显的优势，而且还兼顾了隶属度和非隶属度，因此更具优势。适合决策者 (DM) 处理复杂的现实问题。因此，提出一种直觉模糊环境下的MADM方法具有重要意义。而且，与传统的2WD相比，通过提出延迟选项，使用三路决策（3WD）可以有效降低决策风险。此外，决策过程中对象之间的二元关系不断被概括，如等价关系具有对称关系、支配关系和排位关系，值得研究。在本文中，我们提出了基于IF环境的3WD-MADM方法，并利用信息表计算了目标IFS。然后，使用混合信息表解决供应商选择问题，以证明所提出方法的有效性。