双极复杂 q-rung orthopair 模糊聚合操作员用于在不确定的环境中增强决策
1Department of Mathematics, College of Sciences, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia. iealshamri@uhb.edu.sa.
Scientific reports
|December 31, 2025
概括
这项研究引入了一种新的双极复杂q-rung orthopair fuzzy set (BCq-ROFS) 来管理决策中的复杂不确定性. 新框架为诸如可持续农业等多属性问题提供了更稳定,更准确的结果.
科学领域:
- 模糊的逻辑和决策理论
- 计算智能是一种计算智能.
- 可持续系统分析 可持续系统分析
背景情况:
- 在不确定性下有效的决策需要管理多维,相互矛盾的信息.
- 现有的模糊集扩展 (双极,q-rung orthopair,复杂) 仅解决不确定性的部分方面.
- 没有单一的框架可以整合双极性,复杂的成员关系和 q-rung orthopair 逻辑来实现全面的不确定性管理.
研究的目的:
- 引入一个统一的框架,双极复杂的q-rung orthopair模糊集 (BCq-ROFS).
- 开发聚合运算符 (BCq-ROFWA,BCq-ROFWG) 来组合复杂的模糊数据.
- 解决现有的模糊扩展在处理多方面的不确定性方面的局限性.
主要方法:
- 将双极性,复杂的成员结构和 q-rung orthopair 模糊逻辑集成到 BCq-ROFS 中.
- 开发了BCq-ROF加权平均 (BCq-ROFWA) 和几何 (BCq-ROFWG) 运算符.
- 适用于可持续畜牧业的多属性决策问题.
主要成果:
- 与传统的模糊方法相比,基于BCq-ROFS的运算符提供了更稳定的,可解释的和有区别的排名.
- 该框架有效地处理了可持续畜牧业的相互矛盾的目标和权衡.
- 对比和敏感性分析证实了拟议方法的稳定性和可扩展性.
结论:
- 在复杂,不确定的环境中,BCq-ROFS框架为决策提供了一个强大的工具.
- 开发的运算符在多属性问题中提高了决策准确性和实际相关性.
- 这种统一的方法推进了模糊的集合理论,用于现实世界的应用.
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