逆模糊混合图的新概念及其应用
Soumitra Poulik1, Ganesh Ghorai1
1Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102 India.
概括
本研究引入了反向模糊混合图 (IFMGs) 来建模复杂的通信网络. 国际金融管理集团为分析社交网络等系统中的关系和沟通缺口提供了一个框架.
科学领域:
- 图形理论 图形理论
- 网络分析 网络分析
- 模糊的数学 模糊的数学
背景情况:
- 模糊混合图 (FMG) 模型系统具有混合的定向和非定向关系.
- 反向模糊图有边缘成员值与顶点成员值相关.
- 反向模糊混合图 (IFMG) 将这些概念结合起来进行复杂的网络分析.
研究的目的:
- 介绍反向模糊混合图 (IFMGs) 的概念.
- 探索IFMGs的属性,操作和应用.
- 在IFMGs中开发一个用于顶点识别的算法方法.
主要方法:
- 定义和探索IFMG属性的定义和探索.
- 研究IFMGs的等态性质和补充.
- 在IFMG上定义和调查集操作 (联合,交叉,生成,加入).
- 开发和执行一个用于顶点识别的算法.
主要成果:
- 已经确立的IFMG的基本特性.
- 具有特征的等态属性和补充.
- 定义和分析了IFMG上的各种操作.
- 展示了一个用于顶点识别的算法.
- 应用IFMG来分析社交网络中的沟通缺口.
结论:
- IFMG提供了一个强大的数学框架,用于建模和分析具有混合关系的复杂系统.
- 定义的操作和算法增强了IFMGs在实际应用中的实用性.
- IFMG对于理解网络结构和沟通动态,特别是在社交网络分析方面,是有效的.
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