Hayat Khizar, Tariq Zalishta, Lughofer Edwin, Aslam M Fahim
Department of Mathematics, University of Kotli, Azad Jammu and Kashmir, Pakistan.
Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh, Pakistan.
Soft comput. 2021;25(21):13353-13364. doi: 10.1007/s00500-021-06181-7. Epub 2021 Sep 13.
The approach of dealing with uncertainty is enhancing day-by-day with new rudiments and tools which possess their specific qualities. Usually, aggregation operators can easily manage the information in an exact manner. But each operator has different specifications in each problem. In recent few years, aggregation operators on intuitionistic fuzzy soft sets (IFSSs) or generalized intuitionistic fuzzy soft sets (GIFSSs) have been investigated but a lot of improvement is needed to obtain more accurate results. In this research, we defined new aggregation operators on GIFSSs which are used to aggregate our multi-criteria decision-making method. Reasonably, we assigned the weights with both intuitionistic fuzzy values of IFSS and intuitionistic fuzzy values of extra input in a GIFSS, and then by establishing new aggregation operators we appraised the computation in a more precise way. We defined the necessary properties of new aggregation operators and preparatory work of decision making in an algorithm. Then we expressed a real-life application by dint of the proposed methodology. Finally, we presented the comparisons of our work with already existing methods and techniques comprising aggregation operators.
随着具有特定性质的新原理和工具的出现，处理不确定性的方法日益完善。通常，聚合算子能够轻松、准确地管理信息。但每个算子在每个问题中都有不同的规格。近年来，对直觉模糊软集（IFSS）或广义直觉模糊软集（GIFSS）上的聚合算子进行了研究，但仍需要大量改进以获得更准确的结果。在本研究中，我们在GIFSS上定义了新的聚合算子，用于聚合我们的多准则决策方法。合理地，我们为IFSS的直觉模糊值和GIFSS中额外输入的直觉模糊值都赋予权重，并通过建立新的聚合算子以更精确的方式评估计算。我们定义了新聚合算子的必要性质以及算法中决策的准备工作。然后，我们借助所提出的方法展示了一个实际应用。最后，我们将我们的工作与包括聚合算子在内的现有方法和技术进行了比较。
