一些新的概念的直觉模糊的定向图的应用在选择一个合适的地方开设餐厅餐厅
Waheed Ahmad Khan1, Khadija Ali1, Amna Fida1
1Division of Science and Technology, Department of Mathematics, University of Education Lahore, Attock Campus, Attock 43600, Pakistan.
Heliyon
|January 16, 2025
概括
这项研究在直观模糊指向图中引入了新的有效弧和支配. 这些概念被应用到开发一个决策算法,用于现实世界的问题,如餐厅的选址选择.
科学领域:
- 图形理论 图形理论
- 决策科学 决策科学
- 模糊的数学 模糊的数学
背景情况:
- 统治概念在模糊图形文学中已经得到了很好的确立.
- 现有的研究在直觉模糊的定向图中存在差距.
- 直觉模糊图形提供了一个比传统模糊图形更细致的表示.
研究的目的:
- 将统治理论扩展到直观的模糊的定向图.
- 介绍有效弧及其属性的新概念.
- 开发决策中的实际应用.
主要方法:
- 半λ有效弧和半ν有效弧的定义.
- 引入各种类型的统治和统治数字.
- 使用最小的支配集合对统治的表征.
- 在直觉模糊的二路和二循环中对统治的分析.
主要成果:
- 对于直观模糊的定向图形来说,定义了几种类型的有效弧.
- 建立了统治和统治数字的新概念.
- 导出了统治的重要特征.
- 研究了特定图形结构的最小主导集合和主导数.
结论:
- 这项研究扩展了在模糊图形结构中的统治理论.
- 介绍了一种用于决策问题的新算法.
- 这项研究将理论进步与实际应用联系起来.
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