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极区值模糊超图及其在决策问题中的应用
Sanchari Bera1, Osamah Ibrahim Khalaf2, Wing-Keung Wong3
1Department of Applied Mathematics, Vidyasagar University, Midnapore - 721102, India.
Heliyon
|September 10, 2024
概括
本研究介绍了m极区间值模糊超图 (m-PIVFHGs),这是一个新的模糊理论和超图模型,用于增强决策. 该研究详细介绍了m-PIVFHG理论,属性和大学应用,改进了现有的模糊图形方法.
科学领域:
- 数学 数学 是一个数学.
- 计算机科学 计算机科学
- 决策科学 决策科学 决策科学
背景情况:
- 传统的模糊模型在复杂的决策中缺乏精度.
- 超图模型提供结构性表示,但可以是刚性的.
- 整合模糊逻辑和超图可以增强数据表示和分析.
研究的目的:
- 介绍了 m-极区间值模糊超图 (m-PIVFHGs) 的新概念.
- 探索m-PIVFHGs的理论基础,特征和二元性概念.
- 展示m-PIVFHGs在优化决策过程中的实际应用.
主要方法:
- 对m-PIVFHGs的定义和理论探索.
- 在区间值内对跨多极性的成员级别进行分析.
- 开发和检查切割和水平的概念,具体的m-PIVFHGs.
- 在大学决策优化问题上应用m-PIVFHGs.
主要成果:
- 建立了m-PIVFHGs的理论框架.
- 定义和分析了独特的特征,二元性和切割/水平概念.
- 与传统的模糊图表方法相比,表现出更好的决策准确性和适应性.
- 通过现实世界的大学应用程序验证了实用的实用性.
结论:
- m-PIVFHGs为复杂的决策提供了一个强大的框架.
- 该模型比现有的模糊图形方法提供了更好的适应性和精度.
- 该研究表明,优化现实世界决策场景的巨大潜力.
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