优化决策与聚合运算符对一般化直观的模糊集及其在科技行业的应用
Muhammad Wasim1, Awais Yousaf2, Hanan Alolaiyan3
1Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan.
Scientific reports
|July 17, 2024
概括
这项研究引入了通用直觉模糊集 (GIFSBs) 和新的聚合运算符,以改善决策. 这些新型运营商提高了复杂情景的评估能力,例如科技行业的初创成功.
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
- 人工智能的人工智能
背景情况:
- 直觉模糊集合 (IFS) 是经典模糊集合 (FSs) 的延伸.
- 需要先进的框架来处理决策中的不确定性.
- 一般化直觉模糊集 (GIFSBs) 提供了一个更灵活的方法.
研究的目的:
- 推进直觉模糊集合理论到通用直觉模糊集合 (GIFS).
- 为GIFSBs.引入新的聚合运算符 (GIFWAA,GIFWGA,GIFOWAA,GIFOWGA).
- 通过将聚合值与最佳结果的偏好相协调,增强决策能力.
主要方法:
- 为GIFSBs开发新的聚合运算符,具有像idempotency,边界性,单调性和交换性这样的属性.
- 分析这些新型运营商的关系和适用性.
- 在多重标准决策 (MCDM) 过程中运营商的应用.
主要成果:
- 引入四个专门为GIFSBs设计的新聚合运营商.
- 证明汇总值与通用直觉模糊数 (GIFN) 保持一致.
- 在一个实际的MCDM问题中成功应用拟议的操作员.
结论:
- 开发的运营商为不确定性下做出决策提供了一个强大的框架.
- GIFSBs及其相关运算符比现有的模糊集合理论具有显著的优势.
- 该研究为评估复杂情景提供了实用工具,例如技术创业公司的成功.
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