基于t-规范和t-规范的聚合运算符在语言间隔值的直觉模糊设置下与应用程序
Afra Siab1, Muhammad Sajjad Ali Khan2, Muhammad Asif Jan1
1Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan.
PeerJ. Computer science
|June 10, 2024
概括
这项研究为语言间隔值的直觉模糊集引入了新的Aczel-Alsina聚合运算符. 这些运营商增强了多标准集团决策 (MCGDM),在现实场景中提高了适用性和有效性.
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
- 计算智能是一种计算智能.
背景情况:
- 间隔值的直观模糊集 (IVIFS) 提供了对不确定性的增强表示.
- 聚合运营商对于在决策中整合信息至关重要.
- 现有的运营商可能无法完全捕捉语言和间隔值模糊信息的细微差别.
研究的目的:
- 开发基于Aczel-Alsina t-norm和t-conorm的新型聚合运算符,用于语言间隔值的直觉模糊数.
- 建立这些数字的操作行为规则.
- 建议采用使用新运营商的多标准集团决策 (MCGDM) 方法.
主要方法:
- 对语言间隔值直观模糊数的操作规则的定义.
- 在阿切尔-阿尔西纳建立了几个聚合运营商 (例如,LIVIFAAWA,LIVIFAAWG,LIVIFAAOWA,LIVIFAAOWG,LIVIFAAHWA,LIVIFAAHWG).
- 对已开发的运算符的特性进行理论分析.
- 运营商在MCGDM框架内的应用.
主要成果:
- 成功创建了一套语言间隔值直观模糊的Aczel-Alsina聚合运算符.
- 证明新操作员固有的可取性质.
- 通过应用到实际决策问题来验证拟议的MCGDM方法.
结论:
- 开发的Aczel-Alsina聚合运算符有效地处理语言间隔值的直觉模糊信息.
- 拟议的MCGDM方法为复杂的决策问题提供了强大而适用的方法.
- 与现有技术相比,新的操作员和方法显示出更高的性能.
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