基于三维距离测度的勾股立方模糊多属性决策

Multi-attribute Decision-making Method for Pythagorean Cubic Fuzzy Sets Based on 3D Distance Measure

勾股立方模糊集具有区间勾股信息和勾股模糊值的混合描述,适用于解决复杂的多属性决策问题。相较于区间勾股模糊集和勾股模糊集所涉及的模糊决策情境,勾股立方模糊集包含更全面的决策信息,因此本文着手研究勾股立方模糊环境下的多属性决策问题。首先给出了勾股模糊集的几何形式并进一步定义了勾股立方模糊三维距离测度,并给出了基于该测度的相关定理以及证明过程;其次,构建了新的多属性决策模型,并通过医疗诊断的算例阐述了其应用过程,最后通过对比分析验证了该方法的有效性和实用性。

The Pythagorean cubic fuzzy set has a mixed description of interval Pythagorean information and Pythagorean fuzzy number,which is suitable for solving complex multi-criteria decision making problems.Compared with the fuzzy decision situation involved in the fuzzy set and the fuzzy set containing more comprehensive decision information,this paper starts to study the multi-attribute decision problem in the fuzzy environment.Firstly,the geometric form of Pythagorean fuzzy set is given and the three-dimensional distance measure of Pythagorean cubic fuzzy is further defined.Secondly,a new multi-criteria decision-making model is constructed.Finally,the effectiveness and practicability of the method are verified by comparative analysis.