一个新的算法多属性决策框架,用于选择太阳能电池板,使用对立方直观的模糊超软集的修改聚合
Muhammad Sajid1, Khuram Ali Khan1, Atiqe Ur Rahman2
1Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan.
Heliyon
|September 16, 2024
概括
本研究介绍了立方直观的模糊超软集 (Ω集) 以改善多参数函数. 该研究详细介绍了新的操作和决策算法,特别是在选择太阳能电池板时.
科学领域:
- 模糊的集合理论 模糊的集合理论
- 决策科学 决策科学 决策科学
- 采用多标准决策的方式
背景情况:
- 立方直观模糊集 (CIFS) 对多参数近似函数具有限制.
- 现有的模型缺乏足够的灵活性来进行复杂的参数评估.
研究的目的:
- 介绍和定义立方直观的模糊超软集 (Ω-集) 作为CIFS的延伸.
- 开发新的运算和探索 Ω 集合的理论性质.
- 通过 Ω-sets 提出一个用于决策问题的实用算法.
主要方法:
- 定义 Ω 集合,将子参数组与 CIFS 关联在一起.
- 介绍了对 Ω 集合的补数,P 顺序,R 顺序子集,P 联盟,R 联盟,P 交点和R 交点运算.
- 开发内部 ( -set) 和外部 ( -set) 立方直观的模糊超软集.
- 制定定理和基于 Ω 集合运算的决策算法.
主要成果:
- 拟议的 Ω 集框架有效地解决了 CIFS 对多参数函数的限制.
- 新的操作和内部/外部设置概念被定义并用示例说明.
- 该研究提出了 Ω 集合的理论基础,包括重要的定理.
- 为太阳能发电厂的太阳能电池板选择开发了一种实际的算法.
结论:
- 立方直观的模糊超软集 (Ω-set) 为复杂的决策提供了一个强大的框架.
- 开发的运算和理论结果为模糊集合理论的进一步研究提供了基础.
- 拟议的算法证明了 Ω 集在现实世界的优化场景 (如可再生能源选择) 中的实际应用.
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