对于毕达哥拉斯立方模糊集的一些距离测量:在治疗抑郁症和焦虑症的最佳治疗中选择应用
Muhammad Rahim1, Fazli Amin1, Kamal Shah2
1Department of Mathematics and Statistics, Hazara University, Mansehra 21300, KP, Pakistan.
MethodsX
|April 16, 2024
概括
这项研究为毕达哥拉斯立方模糊集 (PCFS) 引入了新的距离测量方法,解决了决策工具中的差距. 这些措施通过心理健康管理中的现实应用来验证.
科学领域:
- 模糊的集合理论 模糊的集合理论
- 决策科学 决策科学
- 计算智能是一种计算智能.
背景情况:
- 毕达哥拉斯立方模糊集 (PCFSs) 扩展区间值的毕达哥拉斯集.
- 距离测量对于决策和模式识别至关重要.
- 对于特定于PCFS的距离测量存在文献缺口.
研究的目的:
- 为PCFSs定义新的通用距离测量.
- 使用这些新措施来解决复杂的决策挑战.
- 评估这些措施的有效性和实际应用.
主要方法:
- 开发PCFS的通用距离测量方法.
- 将这些措施应用于心理健康的现实场景 (焦虑和抑郁管理).
- 拟议措施的边界性和非线性特征的说明.
- 与现有方法论进行比较分析.
主要成果:
- 已经成功地定义了PCFS的新型通用距离测量.
- 拟议的措施在实际心理健康管理场景中显示出有效性.
- 距离尺度的边界性和非线性属性得到说明.
- 对比分析验证了拟议的方法与现有方法相比.
结论:
- 开发的距离测量为涉及PCFS的决策提供了有价值的工具.
- 这项研究弥补了关于PCFS距离测量的文献中的重大差距.
- 实际应用突出了这些措施在现实世界问题上的有用性,特别是在医疗保健领域.
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