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基于双极直觉模糊图的决策模型,以确定易受洪水影响的地区
Deva Nithyanandham1, Felix Augustin1, Samayan Narayanamoorthy2
1Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology (Chennai Campus), Chennai, Tamil Nadu, India.
概括
本研究介绍了双极直觉模糊图 (BIFG) 的覆盖,匹配和支配概念. 一个BIFG模型确定了奈的洪水易受影响的区域,并将Kodambakkam列为最易受影响的地区.
科学领域:
- 图形理论 图形理论
- 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:
- 传统的图形理论与不确定的数据作斗争.
- 双极直觉模糊图 (BIFG) 扩展模糊图用于不准确的信息.
- 覆盖,匹配和支配是关键的图形概念,需要根据不确定性进行调整.
研究的目的:
- 在BIFG框架内定义覆盖,匹配和支配概念.
- 在缺乏有效边缘的情况下,为这些概念开发新的方法.
- 应用BIFG在现实世界问题上的决策,如灾害管理.
主要方法:
- 使用有效边缘对BIFG进行覆盖,匹配和主导的定义.
- 为没有有效边缘的BIFG概念开发新方法.
- 构建基于BIFG的决策模型,用于脆弱性评估.
主要成果:
- 在BIFG.中对覆盖,匹配和支配的确定的定义和定理.
- 成功地应用了BIFG模型来确定奈的洪水易受影响的区域.
- 根据BIFG模型,Kodambakkam被确定为最容易受到影响的地区.
- 通过比较分析证明了模型的效率.
结论:
- BIFG为带有不确定性的图形问题提供了一个强大的框架.
- 拟议的BIFG模型有效地确定了灾害管理中的关键领域.
- 该研究证实了BIFG方法在现有方法上的优越性.
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