基于Hamacher范数和改进MULTIMOORA的q阶正形模糊集多属性决策

Yahui Zhu
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引用次数: 1

摘要

针对q阶正交模糊多属性决策问题,提出了基于Hamacher范数和改进MULTIMOORA的多属性决策方法。首先,提出了q阶正形模糊Hamacher加权平均算子和q阶正形模糊Hamacher加权几何平均算子,并研究了它们的性质。其次,由于MULTIMOORA方法中的参考点方法只计算了各方案与正理想方案之间的距离,而忽略了各方案与负理想方案之间的距离,因此提出了一种改进的MULTIMOORA方法,然后利用改进的MULTIMOORA方法和两个算子进行多角度备选方案的选择和比较。最后,通过实例将该方法与其他q-ROF决策方法进行了比较,分析了算法的灵敏度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multiple-attribute Decision-making of Q-Rung Orthopair Fuzzy Sets Based on Hamacher Norm and Improved MULTIMOORA
Aiming at solving problem of multi-attribute decision making of q-rung orthopair fuzzy, the method based on Hamacher norm and improved MULTIMOORA is proposed. Firstly, q-rung orthopair fuzzy Hamacher weighted average operator and q-rung orthopair fuzzy Hamacher weighted geometric average operator are proposed, and their properties are studied. Secondly, the reference point method in the MULTIMOORA method only calculates the distance between each scheme and the positive ideal scheme, ignores the distance between each scheme and the negative ideal scheme, so an improved MULTIMOORA method was put forward, and then alternative from multiple perspectives is chosen and compared by using the improved MULTIMOORA method and two operators. Finally, through an example, this method is compared with other q-ROF decision-making methods, and the sensitivity of the algorithm is analyzed.
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