基于毕达哥拉斯模糊的N双极软集的多标准决策框架,用于制造业的可持续性评估和风险评估
Maha M Saeed1, Sagvan Y Musa2,3, Baravan A Asaad4,5
1Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O.Box 80203, Jeddah, 21589, Saudi Arabia.
Scientific reports
|August 13, 2025
概括
本研究引入了一种新的毕达哥拉斯模糊的N双极软集 (PFNBSSs) 模型,用于制造可持续性的多标准决策 (MCDM). 该模型增强了环境,社会和经济挑战的不确定性下决策.
科学领域:
- 运营研究 运营研究
- 工业工程 工业工程 工业工程
- 环境科学 环境科学
背景情况:
- 制造业可持续性评估对于负责任的增长和竞争力至关重要.
- 在不确定性下的决策 (DM) 是复杂的,因为冲突的可持续发展目标.
- 现有的多标准决策 (MCDM) 方法可能缺乏细微的可持续性评估的表达力.
研究的目的:
- 提出一种新的混合MCDM模型,毕达哥拉斯模糊的N双极软集 (PFNBSSs),整合毕达哥拉斯模糊集 (PFSs),N软集 (NSSs) 和双极软集 (BSSs).
- 定义PFNBSSs的理论运算和代数属性.
- 展示PFNBSS模型在制造业可持续性评估和风险分析中的实际应用.
主要方法:
- 将PFS,NSS和BSS整合到MCDM的统一PFNBSS框架中.
- 基本集合运算的定义和PFNBSSs代数性质的探索.
- 将PFNBSS模型应用于两个数值示例,用于制造业的可持续性实践评估和比较风险分析.
主要成果:
- 该PFNBSS模型成功评估了制造业的可持续性实践和风险.
- 数字示例说明了该模型处理正负可持续性指标的能力.
- 对比分析证实PFNBSS模型的优越区分能力和表达能力优于现有方法.
结论:
- 拟议的PFNBSS模型为在不确定性下制造业的可持续性评估和决策提供了一种有效的方法.
- 该模型为管理复杂且相互矛盾的可持续发展目标提供了一个强大的框架.
- 进一步的研究可以探索PFNBSS模型在各种工业环境中的扩展和应用.
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