Zhang Nian, Yuan Xue, Liu Jin, Wei Guiwu
School of Modern Posts, Chongqing University of Posts and Telecommunications, Chongqing 400065, China.
Chongqing Municipal Education Commission Digital Economy Innovation and Industrial Development Research Team, Chongqing 400065, China.
Math Biosci Eng. 2023 May 26;20(7):12562-12578. doi: 10.3934/mbe.2023559.
The objective of this paper is to present an extended approach to address the stochastic multi-attribute decision-making problem. The novelty of this study is to consider the regret behavior of decision makers under a Pythagorean hesitant fuzzy environment. First, the group satisfaction degree of decision-making matrices is used to consider the different preferences of decision-makers. Second, the nonlinear programming model under different statues is provided to compute the weights of attributes. Then, based on the regret theory, a regret value matrix and a rejoice value matrix are constructed. Furthermore, the feasibility and superiority of the developed approach is proven by an illustrative example of selecting an air fighter. Eventually, a comparative analysis with other methods shows the advantages of the proposed methods.
本文的目的是提出一种扩展方法来解决随机多属性决策问题。本研究的新颖之处在于考虑决策者在毕达哥拉斯犹豫模糊环境下的后悔行为。首先，利用决策矩阵的群体满意度来考虑决策者的不同偏好。其次，提供不同状态下的非线性规划模型来计算属性权重。然后，基于后悔理论，构建后悔值矩阵和欣喜值矩阵。此外，通过一个选择战斗机的示例证明了所提出方法的可行性和优越性。最后，与其他方法的对比分析表明了所提方法的优点。
