Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan.
BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), Universidad de Salamanca, Salamanca 37007, Spain.
Math Biosci Eng. 2023 Jan;20(2):1774-1800. doi: 10.3934/mbe.2023081. Epub 2022 Nov 7.
This paper extends the literature on fuzzy PROMETHEE, a well-known multi-criteria group decision-making technique. The PROMETHEE technique ranks alternatives by specifying an allowable preference function that measures their deviations from other alternatives in the presence of conflicting criteria. Its ambiguous variation helps to make an appropriate decision or choose the best option in the presence of some ambiguity. Here, we focus on the more general uncertainty in human decision-making, as we allow N-grading in fuzzy parametric descriptions. In this setting, we propose a suitable fuzzy N-soft PROMETHEE technique. We recommend using an Analytic Hierarchy Process to test the feasibility of standard weights before application. Then the fuzzy N-soft PROMETHEE method is explained. It ranks the alternatives after some steps summarized in a detailed flowchart. Furthermore, its practicality and feasibility are demonstrated through an application that selects the best robot housekeepers. The comparison between the fuzzy PROMETHEE method and the technique proposed in this work demonstrates the confidence and accuracy of the latter method.
本文扩展了模糊 PROMETHEE 的文献，模糊 PROMETHEE 是一种著名的多准则群体决策技术。PROMETHEE 技术通过指定允许的偏好函数对备选方案进行排序，该函数在存在冲突标准的情况下衡量它们与其他备选方案的偏差。其模糊变体有助于在存在某些模糊性的情况下做出适当的决策或选择最佳选项。在这里，我们专注于人类决策中的更普遍的不确定性，因为我们允许模糊参数描述中的 N 级评分。在这种情况下，我们提出了一种合适的模糊 N-软 PROMETHEE 技术。我们建议在应用之前使用层次分析法测试标准权重的可行性。然后解释模糊 N-软 PROMETHEE 方法。它通过总结在详细流程图中的一些步骤对备选方案进行排序。此外，通过选择最佳机器人管家的应用程序证明了其实用性和可行性。模糊 PROMETHEE 方法与本文提出的技术之间的比较表明了后者方法的置信度和准确性。
