The existing definition of generalized intuitionistic fuzzy soft sets (GIFSSs) is clarified and reformulated as a combination of an IFSS over the universe of discourse and an intuitionistic fuzzy set in the parameter set. With this new perspective, two different types of generalized intuitionistic fuzzy soft subsets and various new operations are developed for GIFSSs. The upper and lower substitutions for both intuitionistic fuzzy sets and GIFSSs are defined as well. Some existing notions and results are improved by virtue of these new concepts. Using the expectation score function, two binary relations are proposed for comparing intuitionistic fuzzy values. An algorithm is designed for coping with multiattribute decision making (MADM) problems with a combined use of the GIFSS, the extended intersection operation, the intuitionistic fuzzy weighted averaging operator, and other related notions. A case study concerning a faculty appointment problem is conducted to illustrate the proposed algorithm. Moreover, a comparative analysis between our approach and other related works is given to demonstrate the effectiveness and advantages of the newly proposed method.

中文翻译：

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航天器交会和接近机动过程中的自适应模糊相对位姿控制


广义直觉模糊软集（GIFSS）的现有定义被澄清并重新表述为论域上的 IFSS 和参数集中的直觉模糊集的组合。借助这种新视角，为 GIFSS 开发了两种不同类型的广义直觉模糊软子集和各种新操作。还定义了直觉模糊集和 GIFSS 的上限和下限替换。一些已有的观念和结果借助这些新观念得到了改进。使用期望得分函数，提出了两个二元关系来比较直观模糊值。结合使用 GIFSS、扩展交集运算、直观模糊加权平均算子和其他相关概念，设计了一种用于处理多属性决策 (MADM) 问题的算法。通过一个有关教师任命问题的案例研究来说明所提出的算法。此外，我们的方法与其他相关工作进行了比较分析，以证明新提出的方法的有效性和优势。