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基于毕达哥拉斯模糊粗略的Aczel-Alsina聚合运算符的多属性组决策及其在医学诊断中的应用

Amir Hussain¹, Xiaoya Zhu², Kifayat Ullah¹

¹Department of Mathematics, Riphah International University Lahore, Lahore54000, Pakistan.

|December 25, 2023

概括

这项研究引入了新的毕达哥拉斯模糊粗略的Aczel-Alsina几何运算符来处理信息融合不确定性. 这些方法通过为复杂的数据提供灵活和可适应的解决方案来增强多属性组决策.

科学领域:

信息融合信息融合
决策支持系统是什么?
不确定性定量化不确定性定量化

背景情况:

信息融合是具有挑战性的,因为现实世界的数据固有的不确定性.
毕达哥拉斯模糊粗略集 (PyFRS) 为管理这种不确定性提供了一个强大的框架.
阿切尔-阿尔西纳t-norm (AATNM) 和t-conorm (AATCNM) 为模糊系统提供了灵活的操作规则.

研究的目的:

引入新的方法来对毕达哥拉斯模糊粗略值 (PyFRVs) 进行基本运算.
开发毕达哥拉斯模糊粗略的Aczel-Alsina加权几何 (PyFRAAWG),有序加权几何 (PyFRAAOWG) 和混合加权几何 (PyFRAAHWG) 运算符.
将这些运算符应用于多属性组决策 (MAGDM) 问题.

主要方法:

基于AATNM和AATCNM的PyFRAAWG,PyFRAAOWG和PyFRAAHWG运营商的发展.
对新开发的运算符的基本特性进行分析.
应用已开发的运营商来解决MAGDM问题.

主要成果:

该研究成功开发和表征了PyFRVs的新几何运算符.
在AATNM和AATCNM的各种参数值中评估了开发运营商的表现.
提出的方法证明了MAGDM的有效性,与现有技术相比,结果更好.

结论:

开发的毕达哥拉斯模糊粗略的Aczel-Alsina几何运算符为信息融合和不确定性下决策提供了有效的工具.
由于AATNM和AATCNM参数的灵活性,MAGDM可以提供适应性的解决方案.
提出的方法显示了在复杂的决策场景中实际应用的意义和潜力.

关键词:

亚齐尔-阿尔西纳的t-规范.在Aczel-alsina的t-norm中使用.多属性组的决策过程毕达哥拉斯的模糊粗略设置.

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