在有序加权平均运算符和单调的塔卡吉-苏格诺-康模糊推理系统上
IEEE transactions on cybernetics
|March 3, 2025
概括
本研究建立了使用产品T-norm.使用单调的塔卡吉-苏格诺-康模糊推理系统 (TSK-FIS) 的条件. 它引入了必要和足够的条件,以确保可靠的模糊推理,适用于FMEA和图像处理.
科学领域:
- 模糊逻辑系统 模糊逻辑系统
- 计算智能是一种计算智能.
- 数学建模的数学建模
背景情况:
- 单调性对塔卡吉-苏格诺-康模糊推理系统 (TSK-FIS) 至关重要,研究集中在二十年来对其条件的研究.
- 现有的研究还没有完全解决TSK-FIS单调性的必要和充分条件,特别是产品T-norm.
研究的目的:
- 定义一个T-规范产品 (TSK-FIS产品) 的Takagi-Sugeno-Kang模糊推理系统是单调的必要和充分条件.
- 为TSK-FIS产品单调性制定一个通用的联合充分条件.
主要方法:
- 定义的模糊会员函数 (FMFs) 具有单一和持续的支持.
- 使用网格分区策略来计算TSK-FIS产品的火力强度.
- 根据有序加权平均 (OWA) 原则和超框,推导出一个通用的联合足够条件.
主要成果:
- 建立了TSK-FIS产品单调性的两个必要条件:非无限期的正常燃烧强度和定义的受限后果.
- 衍生出一个通用的关节足够的条件单调性.
- 通过在故障模式和效果分析 (FMEA) 和图像处理方面的三个案例研究,证明了开发方法的适用性.
结论:
- 这些条件为确保TSK-FIS产品模型的单调性提供了一个强大的框架.
- 这些方法在实际应用中是有效的,如FMEA和图像处理,如案例研究结果所示.
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