基于矩形坐标系的语言不确定Z-Number的多属性群决策方法
A Multi-Attribute Group Decision-Making Method Based on Linguistic Uncertain Z-Number with a Rectangular Coordinate System
摘要: 针对语言不确定Z-Number (LUZ)，本文首先提出了基于矩形坐标系的加权曼哈顿距离并讨论了该距离所满足的性质。其次，基于加权曼哈顿距离与TOPSIS决策方法，给出了基于矩形坐标系的LUZ的新的得分函数。最后，针对语言不确定Z-Number环境下的决策问题，建立了基于矩形坐标系的LUZ的新的多属性群决策方法。
Abstract: In view of the linguistic uncertain Z-Number, in this paper, firstly, a weighted Manhattan distance based on a rectangular coordinate system is proposed, and the properties satisfied by the distance are discussed. Secondly, based on the weighted Manhattan distance and TOPSIS decision method, a new scoring function of LUZ based on rectangular coordinate system is given. Finally, aiming at the decision-making problem in the LUZ environment, a new multi-attribute group decision-making method based on rectangular coordinate system is established.
文章引用：郑文杰, 颜茜, 阮艳丽. 基于矩形坐标系的语言不确定Z-Number的多属性群决策方法[J]. 运筹与模糊学, 2024, 14(3): 1174-1184. https://doi.org/10.12677/orf.2024.143348

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