混合决策支持系统灾难管理:应用格子有序的线性q-rung二奥芬丁模糊的超软集
J Vimala1, A N Surya1, Nasreen Kausar2
1Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
PeerJ. Computer science
|June 26, 2025
概括
这项研究介绍了格子有序的线性q-rung二奥法廷模糊的超软集,这是模糊集理论的新型扩展. 它介绍了多属性决策的操作和算法,特别是在灾害管理中.
科学领域:
- 模糊的集合理论 模糊的集合理论
- 决策 决策 决策 决策 决策
- 计算机科学 计算机科学
背景情况:
- 模糊集合理论是不确定性建模的基石.
- 现有的决策模式面临着复杂,多属性问题的挑战.
研究的目的:
- 为了介绍格子有序的线性q-rung,Diophantine模糊的超软集.
- 为了定义这个新的集合结构的基本代数运算.
- 开发和验证用于灾难管理中的多属性决策的算法.
主要方法:
- 网格排序的线性q-rung的定义 狄奥芬模糊的超软集.
- 代数运算的描述:局限联结,扩展联结,局限交叉,OR和AND运算.
- 开发一种使用这些操作的决策算法.
主要成果:
- 拟议的集合结构及其运算是用数学定义的,并附有示例.
- 一个新的算法有效地处理多属性决策问题.
- 与现有方法相比,在灾难管理案例研究中表现出优异的性能.
结论:
- 网格有序的线性q-rung二奥法丁模糊超软集提供了模糊集理论的强大扩展.
- 开发的算法为复杂的决策场景提供了高效和可扩展的解决方案.
- 这种方法在实际应用中显示出显著的优势,例如灾害管理.
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