随机多重属性决策与毕达哥拉斯犹不决的模糊集基于遗憾理论
Nian Zhang1,2, Xue Yuan1, Jin Liu3
1School of Modern Posts, Chongqing University of Posts and Telecommunications, Chongqing 400065, China.
Mathematical biosciences and engineering : MBE
|July 28, 2023
概括
这项研究引入了对随机多属性决策的新方法,将决策者遗憾纳入毕达哥拉斯犹不决的模糊集. 这种方法在复杂的选择问题中被证明是有效的,比如选择一架战斗机.
科学领域:
- 决策分析 决策分析
- 模糊的集合理论 模糊的集合理论
- 运营研究 运营研究
背景情况:
- 随机多属性决策 (SMADM) 问题是复杂的.
- 现有的方法往往忽略了决策者心理,例如后悔.
- 毕达哥拉斯的犹不决的模糊集合为不确定性提供了一个灵活的框架.
研究的目的:
- 为SMADM问题开发一种扩展的方法.
- 将决策者遗憾的行为融入到毕达哥拉斯犹不决的模糊环境中.
- 增强属性权重的确定和决策过程.
主要方法:
- 利用群体满意度度来捕捉决策者的不同偏好.
- 使用非线性编程模型计算属性权重.
- 基于遗憾理论构建遗憾和欢乐的价值矩阵.
主要成果:
- 提出的方法有效地处理了随机的多属性决策.
- 属性权重是根据决策者的偏好和遗憾来确定的.
- 航空战斗机选择的一个说明性例子表明了可行性和优越性.
结论:
- 开发的方法为SMADM在不确定性和遗憾的情况下提供了一个强大的框架.
- 它为现有的决策方法提供了有价值的替代方案.
- 该方法在复杂的选择场景中证明了其实际适用性.
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