区间值双极复杂模糊软集及其在决策中的应用
Abdul Jaleel1, Tahir Mahmood2, Walid Emam3
1Department of Mathematics and, Stats, International Islamic University Islamabad, Islamabad, Pakistan.
Scientific reports
|May 21, 2024
概括
这项研究介绍了区间值双极复杂模糊软集 (IVBCFSS),这是现有的模糊集理论的新型概括. 该研究探讨了它们的运行规律,聚合运算符和决策方法,展示了它们的实际应用.
科学领域:
- 数学 数学 是一个数学.
- 计算机科学 计算机科学
- 模糊的集合理论 模糊的集合理论
背景情况:
- 模糊集合理论已经通过各种扩展演变,包括区间值,双极,复杂和软集合.
- 现有的理论缺乏统一的框架来整合这些不同的扩展.
- 需要通用的模糊集结构来处理复杂的决策问题.
研究的目的:
- 介绍和定义区间值双极复杂模糊集 (IVBCFS) 和区间值双极复杂模糊软集 (IVBCFSS).
- 探索IVBCFSS的基本运算规律,代数属性和聚合运算符.
- 开发和展示基于IVBCFSS的决策方法,以展示其实际实用性.
主要方法:
- 关于IVBCFS和IVBCFSS的正式定义.
- 基本运行规律的调查:补充,扩展的联盟,扩展的交叉点,限制的联盟,限制的交叉点,和产品,或产品.
- 聚合运营商的发展:IVBCFS平均聚合和IVBCFS几何聚合.
- 使用IVBCFSS制定一个决策算法.
主要成果:
- 这篇论文为IVBCFSS建立了基础框架,扩展了现有的模糊集概念.
- 定义了IVBCFSS的关键代数运算和聚合运算符,并分析了它们的特性.
- 提出了一种新的决策方法,并以示例说明,展示了IVBCFSS的有效性.
结论:
- IVBCFSS提供了一个强大的和通用的框架来表示和操纵复杂的不确定的信息.
- 拟议的运行规则和聚合运营商对于IVBCFSS的实际应用至关重要.
- 开发的决策方法强调了IVBCFSS在现实场景中的优越性和适用性,与现有方法相比.
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