对于 q-rung 线性二氧化模糊超软集的值及其在 MADM 中的应用
A N Surya1, J Vimala1, Nasreen Kausar2
1Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
Scientific reports
|March 8, 2024
概括
这项研究介绍了q-rung线性二氧化模糊超软集,这是一个新的模糊集扩展. 它为复杂的现实世界问题提供了一个有效的多属性决策算法.
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
背景情况:
- 现有的模糊集合理论在处理复杂的多属性场景方面存在局限性.
- 软集合论演变为超软集合论,扩大了它的适用性.
- Q-rung线性二白色模糊集提供了增强的表示能力.
研究的目的:
- 为了介绍q-rung线性二法模糊超软集的新概念.
- 定义这些集合的代数运算 (结合,交叉,补充).
- 开发一种度测量和一个多属性决策 (MADM) 算法.
主要方法:
- 整合q-rung线性二法模糊集合与超软集合理论.
- 代数运算的表述和度的测量.
- 基于拟议的测量方法开发一个MADM算法.
主要成果:
- q-rung线性二氧化模糊超软集有效地处理多个子属性模糊情况.
- 建立了一个度,以量化拟议集的模糊性.
- 一个新的MADM算法在废水处理技术选择案例研究中展示了卓越的性能.
结论:
- 拟议的模糊扩展和MADM算法提供了一个强大的和优越的方法,与现有的方法相比.
- 这个框架解决了以前难以解决的复杂的现实世界决策问题.
- 该研究为模糊集合理论和实际应用提供了有价值的工具.
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