基于复杂的直觉模糊集的阿基米德的赫罗尼安平均运算符及其在决策问题中的应用
Zeeshan Ali1, Walid Emam2, Tahir Mahmood3
1Department of Mathematics and Statistics, Riphah International University Islamabad, Pakistan.
Heliyon
|February 19, 2024
概括
本研究为复杂的直观模糊集合引入了新的阿基米德聚合运算符,增强了决策. 这些运营商为多属性决策问题提供了更灵活的方法.
科学领域:
- 模糊的数学 模糊的数学
- 决策科学 决策科学 决策科学
背景情况:
- 复杂的直觉模糊集 (CIFS) 为不确定性建模提供了一个强大的框架.
- 现有的聚合运营商可能无法充分理解CIFS内部的复杂性.
研究的目的:
- 为复杂的直观模糊集合推导和研究阿基米德的聚合运算符.
- 为了介绍新的复杂的直觉主义模糊的阿基米德的赫罗尼安聚合运算符.
主要方法:
- 对复杂的直觉模糊值的阿基米德运行定律的评估.
- 开发复杂的直观的模糊的阿基米德的赫罗尼的聚合运算符.
- 分析特殊情况和拟议运营商的特性.
主要成果:
- 提出的阿基米德运算符将现有规范 (代数,爱因斯坦,哈马赫,弗兰克) 概括为.
- 介绍了新的复杂的直观的模糊的阿基米德的赫罗尼安和加权的赫罗尼安聚合运算符.
- 开发了使用这些操作员的决策过程,并用例子说明了这一过程.
结论:
- 开发的阿基米德聚合运算符为复杂的直觉模糊决策提供了灵活和有效的工具.
- 拟议的Heronian聚合运营商解决了处理复杂模糊信息的挑战.
- 敏感性分析表明,新决策技术的灵活性增加了.
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