一个新的赫林格基于距离的遗憾理论方法用于球形模糊决策模型及其在物流中的应用
1Teaching Department of Basic Subjects, Jiangxi University of Science and Technology, Nanchang, 330013, China.
Scientific reports
|June 17, 2024
概括
这项研究引入了一种新的决策方法,使用遗憾理论和球形模糊数字来解释决策者行为. 该方法通过测量遗憾和喜悦值来有效地排列替代品,在物流提供商评估中证明其可行性.
科学领域:
- 决策科学 决策科学
- 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:
- 在现实世界中,决策受诸如风险态度和主观偏好等行为因素的影响.
- 后悔理论有效地模拟了决策者行为.
- 球形模糊集提供了一个强大的框架,用于在决策问题中表示不确定的信息.
研究的目的:
- 开发一种新的多属性决策 (MADM) 方法,结合遗憾理论和球形模糊数字.
- 为解决球形模糊集合现有距离测量的局限性.
- 在复杂的决策场景中增强决策者行为的建模.
主要方法:
- 基于概率分布的赫林格距离,为球形模糊集合建立了一个新的距离测量方法.
- 提出了一个感知实用值函数来量化遗憾和快乐的价值.
- 开发了一个优化模型来确定属性权重,即使有部分信息.
- 通过使用全面的感知效用值来对替代品进行排名.
主要成果:
- 提出的方法有效地通过遗憾理论结合了决策者行为.
- 引入了一种新且计算效率高的距离测量方法,用于球形模糊集合.
- 开发的优化模型成功确定了属性权重.
- 该方法通过对物流提供商评估的案例研究进行了验证,显示了有效性和可行性.
结论:
- 基于遗憾理论和球形模糊数字的新型决策方法是有效的和可行的.
- 新的距离测量方法克服了现有方法的局限性.
- 这种方法为行为因素影响的复杂决策问题提供了有价值的工具.
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